%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC004+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n005.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 08:57:40 AM UTC 2026 % Result : Theorem 1.12s 1.36s % Output : Proof 1.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC004+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n005.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 19:08:18 EDT 2026 % 0.17/0.35 % CPUTime : % 0.28/0.53 %----Proving TF0_NAR, FOF, or CNF % 1.12/1.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.12/1.36 % SZS status Theorem % 1.12/1.36 % SZS output start Proof % 1.12/1.36 ( % 1.12/1.36 (declare-sort $$unsorted 0) % 1.12/1.36 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.nil $$unsorted) % 1.12/1.36 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.ssList (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 1.12/1.36 (define @t1 () (@var "V" $$unsorted)) % 1.12/1.36 (define @t2 () (@var "U" $$unsorted)) % 1.12/1.36 (define @t3 () (= @t2 @t1)) % 1.12/1.36 (define @t4 () (not @t3)) % 1.12/1.36 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 1.12/1.36 (define @t6 () (tptp.ssItem @t1)) % 1.12/1.36 (define @t7 () (@list @t1)) % 1.12/1.36 (define @t8 () (tptp.ssItem @t2)) % 1.12/1.36 (define @t9 () (@list @t2)) % 1.12/1.36 (define @t10 () (@var "X" $$unsorted)) % 1.12/1.36 (define @t11 () (tptp.cons @t1 @t10)) % 1.12/1.36 (define @t12 () (@var "W" $$unsorted)) % 1.12/1.36 (define @t13 () (tptp.ssList @t10)) % 1.12/1.36 (define @t14 () (@list @t10)) % 1.12/1.36 (define @t15 () (tptp.ssList @t12)) % 1.12/1.36 (define @t16 () (@list @t12)) % 1.12/1.36 (define @t17 () (tptp.ssList @t2)) % 1.12/1.36 (define @t18 () (tptp.cons @t1 tptp.nil)) % 1.12/1.36 (define @t19 () (tptp.app @t1 @t12)) % 1.12/1.36 (define @t20 () (tptp.frontsegP @t2 @t1)) % 1.12/1.36 (define @t21 () (tptp.ssList @t1)) % 1.12/1.36 (define @t22 () (tptp.app @t12 @t1)) % 1.12/1.36 (define @t23 () (tptp.rearsegP @t2 @t1)) % 1.12/1.36 (define @t24 () (tptp.segmentP @t2 @t1)) % 1.12/1.36 (define @t25 () (tptp.leq @t12 @t1)) % 1.12/1.36 (define @t26 () (tptp.leq @t1 @t12)) % 1.12/1.36 (define @t27 () (@var "Z" $$unsorted)) % 1.12/1.36 (define @t28 () (@var "Y" $$unsorted)) % 1.12/1.36 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 1.12/1.36 (define @t30 () (tptp.ssList @t27)) % 1.12/1.36 (define @t31 () (@list @t27)) % 1.12/1.36 (define @t32 () (tptp.ssList @t28)) % 1.12/1.36 (define @t33 () (@list @t28)) % 1.12/1.36 (define @t34 () (tptp.ssItem @t12)) % 1.12/1.36 (define @t35 () (tptp.lt @t1 @t12)) % 1.12/1.36 (define @t36 () (= @t1 @t12)) % 1.12/1.36 (define @t37 () (forall @t7 (=> @t21 @t5))) % 1.12/1.36 (define @t38 () (=> @t17 @t37)) % 1.12/1.36 (define @t39 () (forall @t9 @t38)) % 1.12/1.36 (define @t40 () (tptp.cons @t1 @t2)) % 1.12/1.36 (define @t41 () (tptp.ssList @t40)) % 1.12/1.36 (define @t42 () (forall @t7 (=> @t6 @t41))) % 1.12/1.36 (define @t43 () (=> @t17 @t42)) % 1.12/1.36 (define @t44 () (forall @t9 @t43)) % 1.12/1.36 (define @t45 () (tptp.ssList tptp.nil)) % 1.12/1.36 (define @t46 () (not (= @t40 @t2))) % 1.12/1.36 (define @t47 () (=> @t6 @t46)) % 1.12/1.36 (define @t48 () (forall @t7 @t47)) % 1.12/1.36 (define @t49 () (=> @t17 @t48)) % 1.12/1.36 (define @t50 () (forall @t9 @t49)) % 1.12/1.36 (define @t51 () (= @t1 @t2)) % 1.12/1.36 (define @t52 () (tptp.cons @t12 @t1)) % 1.12/1.36 (define @t53 () (= tptp.nil @t2)) % 1.12/1.36 (define @t54 () (tptp.hd @t2)) % 1.12/1.36 (define @t55 () (not @t53)) % 1.12/1.36 (define @t56 () (tptp.tl @t2)) % 1.12/1.36 (define @t57 () (tptp.app @t2 @t1)) % 1.12/1.36 (define @t58 () (tptp.app @t1 @t2)) % 1.12/1.36 (define @t59 () (tptp.leq @t1 @t2)) % 1.12/1.36 (define @t60 () (tptp.leq @t2 @t1)) % 1.12/1.36 (define @t61 () (tptp.geq @t2 @t1)) % 1.12/1.36 (define @t62 () (tptp.lt @t1 @t2)) % 1.12/1.36 (define @t63 () (tptp.lt @t2 @t1)) % 1.12/1.36 (define @t64 () (tptp.lt @t2 @t12)) % 1.12/1.36 (define @t65 () (tptp.gt @t2 @t1)) % 1.12/1.36 (define @t66 () (tptp.memberP @t12 @t2)) % 1.12/1.36 (define @t67 () (tptp.app @t12 @t2)) % 1.12/1.36 (define @t68 () (tptp.cons @t2 tptp.nil)) % 1.12/1.36 (define @t69 () (tptp.hd @t1)) % 1.12/1.36 (define @t70 () (= tptp.nil @t1)) % 1.12/1.36 (define @t71 () (not @t70)) % 1.12/1.36 (define @t72 () (tptp.cons @t2 @t1)) % 1.12/1.36 (define @t73 () (= @t12 @t2)) % 1.12/1.36 (define @t74 () (tptp.neq @t1 tptp.nil)) % 1.12/1.36 (define @t75 () (not @t74)) % 1.12/1.36 (define @t76 () (or @t75 (tptp.neq @t10 tptp.nil))) % 1.12/1.36 (define @t77 () (@var "X4" $$unsorted)) % 1.12/1.36 (define @t78 () (@var "X3" $$unsorted)) % 1.12/1.36 (define @t79 () (tptp.app @t78 @t77)) % 1.12/1.36 (define @t80 () (not (= @t79 @t12))) % 1.12/1.36 (define @t81 () (@var "X2" $$unsorted)) % 1.12/1.36 (define @t82 () (tptp.cons @t81 tptp.nil)) % 1.12/1.36 (define @t83 () (tptp.app @t78 @t82)) % 1.12/1.36 (define @t84 () (tptp.app @t83 @t77)) % 1.12/1.36 (define @t85 () (not (= @t84 @t10))) % 1.12/1.36 (define @t86 () (or @t85 @t80)) % 1.12/1.36 (define @t87 () (tptp.ssList @t77)) % 1.12/1.36 (define @t88 () (=> @t87 @t86)) % 1.12/1.36 (define @t89 () (@list @t77)) % 1.12/1.36 (define @t90 () (forall @t89 @t88)) % 1.12/1.36 (define @t91 () (tptp.ssList @t78)) % 1.12/1.36 (define @t92 () (=> @t91 @t90)) % 1.12/1.36 (define @t93 () (@list @t78)) % 1.12/1.36 (define @t94 () (forall @t93 @t92)) % 1.12/1.36 (define @t95 () (tptp.ssItem @t81)) % 1.12/1.36 (define @t96 () (=> @t95 @t94)) % 1.12/1.36 (define @t97 () (@list @t81)) % 1.12/1.36 (define @t98 () (forall @t97 @t96)) % 1.12/1.36 (define @t99 () (tptp.neq @t27 tptp.nil)) % 1.12/1.36 (define @t100 () (@var "X1" $$unsorted)) % 1.12/1.36 (define @t101 () (tptp.app @t28 @t100)) % 1.12/1.36 (define @t102 () (tptp.app @t28 @t27)) % 1.12/1.36 (define @t103 () (tptp.app @t102 @t100)) % 1.12/1.36 (define @t104 () (tptp.ssList @t100)) % 1.12/1.36 (define @t105 () (and @t104 (= @t103 @t1) (= @t101 @t2) @t99)) % 1.12/1.36 (define @t106 () (@list @t100)) % 1.12/1.36 (define @t107 () (exists @t106 @t105)) % 1.12/1.36 (define @t108 () (and @t30 @t107)) % 1.12/1.36 (define @t109 () (exists @t31 @t108)) % 1.12/1.36 (define @t110 () (and @t32 @t109)) % 1.12/1.36 (define @t111 () (exists @t33 @t110)) % 1.12/1.36 (define @t112 () (or @t75 @t111 @t98)) % 1.12/1.36 (define @t113 () (and @t112 @t76)) % 1.12/1.36 (define @t114 () (not (= @t2 @t12))) % 1.12/1.36 (define @t115 () (not (= @t1 @t10))) % 1.12/1.36 (define @t116 () (or @t115 @t114 @t113)) % 1.12/1.36 (define @t117 () (=> @t13 @t116)) % 1.12/1.36 (define @t118 () (forall @t14 @t117)) % 1.12/1.36 (define @t119 () (=> @t15 @t118)) % 1.12/1.36 (define @t120 () (forall @t16 @t119)) % 1.12/1.36 (define @t121 () (=> @t21 @t120)) % 1.12/1.36 (define @t122 () (forall @t7 @t121)) % 1.12/1.36 (define @t123 () (=> @t17 @t122)) % 1.12/1.36 (define @t124 () (forall @t9 @t123)) % 1.12/1.36 (define @t125 () (not @t124)) % 1.12/1.36 (define @t126 () (@var "BOUND_VARIABLE_9153" $$unsorted)) % 1.12/1.36 (define @t127 () (tptp.ssList (tptp.cons @t126 @t2))) % 1.12/1.36 (define @t128 () (not (tptp.ssItem @t126))) % 1.12/1.36 (define @t129 () (not @t17)) % 1.12/1.36 (define @t130 () (or @t128 @t127)) % 1.12/1.36 (define @t131 () (or @t129 @t130)) % 1.12/1.36 (define @t132 () (forall (@list @t2 @t126) @t131)) % 1.12/1.36 (define @t133 () (@list @t126)) % 1.12/1.36 (define @t134 () (forall @t133 @t131)) % 1.12/1.36 (define @t135 () (forall @t133 @t130)) % 1.12/1.36 (define @t136 () (@list @t1)) % 1.12/1.36 (define @t137 () (or @t129 @t135)) % 1.12/1.36 (define @t138 () (not @t6)) % 1.12/1.36 (define @t139 () (forall @t7 (or @t138 @t41))) % 1.12/1.36 (define @t140 () (@var "BOUND_VARIABLE_11256" $$unsorted)) % 1.12/1.36 (define @t141 () (not (tptp.ssList @t140))) % 1.12/1.36 (define @t142 () (@var "BOUND_VARIABLE_11254" $$unsorted)) % 1.12/1.36 (define @t143 () (not (tptp.ssList @t142))) % 1.12/1.36 (define @t144 () (@var "BOUND_VARIABLE_11252" $$unsorted)) % 1.12/1.36 (define @t145 () (not (tptp.ssItem @t144))) % 1.12/1.36 (define @t146 () (tptp.app @t142 @t140)) % 1.12/1.36 (define @t147 () (@var "BOUND_VARIABLE_11005" $$unsorted)) % 1.12/1.36 (define @t148 () (tptp.app @t28 @t147)) % 1.12/1.36 (define @t149 () (tptp.app (tptp.app @t142 (tptp.cons @t144 tptp.nil)) @t140)) % 1.12/1.36 (define @t150 () (@var "BOUND_VARIABLE_11003" $$unsorted)) % 1.12/1.36 (define @t151 () (tptp.app (tptp.app @t28 @t150) @t147)) % 1.12/1.36 (define @t152 () (not (= @t151 @t149))) % 1.12/1.36 (define @t153 () (not (tptp.ssList @t147))) % 1.12/1.36 (define @t154 () (not (tptp.neq @t150 tptp.nil))) % 1.12/1.36 (define @t155 () (not (tptp.ssList @t150))) % 1.12/1.36 (define @t156 () (not @t32)) % 1.12/1.36 (define @t157 () (@list @t28 @t150 @t147)) % 1.12/1.36 (define @t158 () (not (forall @t157 (or @t156 @t155 @t154 @t153 @t152 (not (= @t148 @t146)))))) % 1.12/1.36 (define @t159 () (not (tptp.neq @t149 tptp.nil))) % 1.12/1.36 (define @t160 () (not (tptp.ssList @t149))) % 1.12/1.36 (define @t161 () (not (tptp.ssList @t146))) % 1.12/1.36 (define @t162 () (or @t161 @t160 @t159 @t158 @t145 @t143 @t141)) % 1.12/1.36 (define @t163 () (@list @t144 @t142 @t140)) % 1.12/1.36 (define @t164 () (forall @t163 @t162)) % 1.12/1.36 (define @t165 () (@quantifiers_skolemize @t164 0)) % 1.12/1.36 (define @t166 () (@list tptp.nil @t165)) % 1.12/1.36 (define @t167 () (not (= @t146 @t146))) % 1.12/1.36 (define @t168 () (not (= @t146 @t148))) % 1.12/1.36 (define @t169 () (or @t156 @t155 @t154 @t153 @t152 @t168)) % 1.12/1.36 (define @t170 () (forall @t157 @t169)) % 1.12/1.36 (define @t171 () (not @t170)) % 1.12/1.36 (define @t172 () (or @t161 @t160 @t159 @t171 @t145 @t143 @t141 @t167)) % 1.12/1.36 (define @t173 () (not (= @t2 @t146))) % 1.12/1.36 (define @t174 () (not (= @t2 @t148))) % 1.12/1.36 (define @t175 () (not (forall @t157 (or @t156 @t155 @t154 @t153 @t152 @t174)))) % 1.12/1.36 (define @t176 () (or @t173 @t129 @t160 @t159 @t175 @t145 @t143 @t141 @t173)) % 1.12/1.36 (define @t177 () (or @t129 @t160 @t159 @t175 @t145 @t143 @t141 @t173)) % 1.12/1.36 (define @t178 () (forall @t9 @t177)) % 1.12/1.36 (define @t179 () (forall @t163 @t178)) % 1.12/1.36 (define @t180 () (forall (@list @t144 @t142 @t140 @t2) @t177)) % 1.12/1.36 (define @t181 () (@list @t2 @t144 @t142 @t140)) % 1.12/1.36 (define @t182 () (or @t160 @t159 @t175 @t145 @t143 @t141 @t173)) % 1.12/1.36 (define @t183 () (or @t129 @t182)) % 1.12/1.36 (define @t184 () (forall @t181 @t183)) % 1.12/1.36 (define @t185 () (forall @t163 @t183)) % 1.12/1.36 (define @t186 () (forall @t163 @t182)) % 1.12/1.36 (define @t187 () (@var "BOUND_VARIABLE_11204" $$unsorted)) % 1.12/1.36 (define @t188 () (@var "BOUND_VARIABLE_11202" $$unsorted)) % 1.12/1.36 (define @t189 () (@var "BOUND_VARIABLE_11200" $$unsorted)) % 1.12/1.36 (define @t190 () (@list @t189 @t188 @t187)) % 1.12/1.36 (define @t191 () (or @t129 @t186)) % 1.12/1.36 (define @t192 () (not (= @t2 (tptp.app @t188 @t187)))) % 1.12/1.36 (define @t193 () (not (tptp.ssList @t187))) % 1.12/1.36 (define @t194 () (not (tptp.ssList @t188))) % 1.12/1.36 (define @t195 () (not (tptp.ssItem @t189))) % 1.12/1.36 (define @t196 () (tptp.app (tptp.app @t188 (tptp.cons @t189 tptp.nil)) @t187)) % 1.12/1.36 (define @t197 () (not (forall @t157 (or @t156 @t155 @t154 @t153 (not (= @t151 @t196)) @t174)))) % 1.12/1.36 (define @t198 () (not (tptp.neq @t196 tptp.nil))) % 1.12/1.36 (define @t199 () (not (tptp.ssList @t196))) % 1.12/1.36 (define @t200 () (or @t199 @t198 @t197 @t195 @t194 @t193 @t192)) % 1.12/1.36 (define @t201 () (@list @t189 @t188 @t187)) % 1.12/1.36 (define @t202 () (or @t129 (forall @t201 @t200))) % 1.12/1.36 (define @t203 () (not (= @t196 @t196))) % 1.12/1.36 (define @t204 () (not (= @t196 @t151))) % 1.12/1.36 (define @t205 () (or @t156 @t155 @t154 @t153 @t204 @t174)) % 1.12/1.36 (define @t206 () (forall @t157 @t205)) % 1.12/1.36 (define @t207 () (not @t206)) % 1.12/1.36 (define @t208 () (or @t199 @t198 @t207 @t195 @t194 @t193 @t203 @t192)) % 1.12/1.36 (define @t209 () (not (= @t1 @t196))) % 1.12/1.36 (define @t210 () (not (= @t1 @t151))) % 1.12/1.36 (define @t211 () (or @t156 @t155 @t154 @t153 @t210 @t174)) % 1.12/1.36 (define @t212 () (not (forall @t157 @t211))) % 1.12/1.36 (define @t213 () (not @t21)) % 1.12/1.36 (define @t214 () (or @t209 @t213 @t75 @t212 @t195 @t194 @t193 @t209 @t192)) % 1.12/1.36 (define @t215 () (or @t213 @t75 @t212 @t195 @t194 @t193 @t209 @t192)) % 1.12/1.36 (define @t216 () (forall @t7 @t215)) % 1.12/1.36 (define @t217 () (forall @t201 @t216)) % 1.12/1.36 (define @t218 () (forall (@list @t189 @t188 @t187 @t1) @t215)) % 1.12/1.36 (define @t219 () (@list @t1 @t189 @t188 @t187)) % 1.12/1.36 (define @t220 () (or @t195 @t194 @t193 @t209 @t192)) % 1.12/1.36 (define @t221 () (or @t213 @t75 @t212 @t220)) % 1.12/1.36 (define @t222 () (forall @t219 @t221)) % 1.12/1.36 (define @t223 () (forall @t201 @t221)) % 1.12/1.36 (define @t224 () (forall @t201 @t220)) % 1.12/1.36 (define @t225 () (@var "BOUND_VARIABLE_11157" $$unsorted)) % 1.12/1.36 (define @t226 () (@var "BOUND_VARIABLE_11155" $$unsorted)) % 1.12/1.36 (define @t227 () (@var "BOUND_VARIABLE_11153" $$unsorted)) % 1.12/1.36 (define @t228 () (@list @t227 @t226 @t225)) % 1.12/1.36 (define @t229 () (or @t213 @t75 @t212 @t224)) % 1.12/1.36 (define @t230 () (tptp.app @t226 @t225)) % 1.12/1.36 (define @t231 () (not (= @t2 @t230))) % 1.12/1.36 (define @t232 () (not (= @t1 (tptp.app (tptp.app @t226 (tptp.cons @t227 tptp.nil)) @t225)))) % 1.12/1.36 (define @t233 () (not (tptp.ssList @t225))) % 1.12/1.36 (define @t234 () (not (tptp.ssList @t226))) % 1.12/1.36 (define @t235 () (not (tptp.ssItem @t227))) % 1.12/1.36 (define @t236 () (or @t235 @t234 @t233 @t232 @t231)) % 1.12/1.36 (define @t237 () (@list @t227 @t226 @t225)) % 1.12/1.36 (define @t238 () (forall @t237 @t236)) % 1.12/1.36 (define @t239 () (or @t213 @t75 @t212 @t238)) % 1.12/1.36 (define @t240 () (forall @t7 @t239)) % 1.12/1.36 (define @t241 () (or @t129 @t240)) % 1.12/1.36 (define @t242 () (or @t129 @t239)) % 1.12/1.36 (define @t243 () (or @t213 @t75 @t212 @t129 @t238)) % 1.12/1.36 (define @t244 () (or @t129 @t238)) % 1.12/1.36 (define @t245 () (or @t129 @t236)) % 1.12/1.36 (define @t246 () (or @t129 @t235 @t234 @t233 @t232 @t231)) % 1.12/1.36 (define @t247 () (not (= @t2 @t2))) % 1.12/1.36 (define @t248 () (or @t129 @t247 @t235 @t234 @t233 @t232 @t231)) % 1.12/1.36 (define @t249 () (not (= @t12 @t230))) % 1.12/1.36 (define @t250 () (not @t15)) % 1.12/1.36 (define @t251 () (or @t114 @t250 @t114 @t235 @t234 @t233 @t232 @t249)) % 1.12/1.36 (define @t252 () (or @t250 @t114 @t235 @t234 @t233 @t232 @t249)) % 1.12/1.36 (define @t253 () (forall @t16 @t252)) % 1.12/1.36 (define @t254 () (forall @t237 @t253)) % 1.12/1.36 (define @t255 () (forall (@list @t227 @t226 @t225 @t12) @t252)) % 1.12/1.36 (define @t256 () (@list @t12 @t227 @t226 @t225)) % 1.12/1.36 (define @t257 () (or @t235 @t234 @t233 @t232 @t249)) % 1.12/1.36 (define @t258 () (or @t250 @t114 @t257)) % 1.12/1.36 (define @t259 () (forall @t256 @t258)) % 1.12/1.36 (define @t260 () (forall @t237 @t258)) % 1.12/1.36 (define @t261 () (forall @t237 @t257)) % 1.12/1.36 (define @t262 () (@var "BOUND_VARIABLE_11098" $$unsorted)) % 1.12/1.36 (define @t263 () (@var "BOUND_VARIABLE_11096" $$unsorted)) % 1.12/1.36 (define @t264 () (@var "BOUND_VARIABLE_11094" $$unsorted)) % 1.12/1.36 (define @t265 () (@list @t264 @t263 @t262)) % 1.12/1.36 (define @t266 () (or @t250 @t114 @t261)) % 1.12/1.36 (define @t267 () (not (= @t12 (tptp.app @t263 @t262)))) % 1.12/1.36 (define @t268 () (tptp.app (tptp.app @t263 (tptp.cons @t264 tptp.nil)) @t262)) % 1.12/1.36 (define @t269 () (not (= @t1 @t268))) % 1.12/1.36 (define @t270 () (not (tptp.ssList @t262))) % 1.12/1.36 (define @t271 () (not (tptp.ssList @t263))) % 1.12/1.36 (define @t272 () (not (tptp.ssItem @t264))) % 1.12/1.36 (define @t273 () (or @t272 @t271 @t270 @t269 @t267)) % 1.12/1.36 (define @t274 () (@list @t264 @t263 @t262)) % 1.12/1.36 (define @t275 () (forall @t274 @t273)) % 1.12/1.36 (define @t276 () (or @t250 @t114 @t275)) % 1.12/1.36 (define @t277 () (forall @t16 @t276)) % 1.12/1.36 (define @t278 () (or @t213 @t75 @t212 @t277)) % 1.12/1.36 (define @t279 () (or @t213 @t75 @t212 @t276)) % 1.12/1.36 (define @t280 () (or @t250 @t114 @t213 @t75 @t212 @t275)) % 1.12/1.36 (define @t281 () (or @t114 @t213 @t75 @t212 @t275)) % 1.12/1.36 (define @t282 () (or @t213 @t75 @t212 @t275)) % 1.12/1.36 (define @t283 () (or @t213 @t75 @t212 @t273)) % 1.12/1.36 (define @t284 () (or @t213 @t75 @t212 @t272 @t271 @t270 @t269 @t267)) % 1.12/1.36 (define @t285 () (or @t75 @t212 @t272 @t271 @t270 @t269 @t267)) % 1.12/1.36 (define @t286 () (and @t285 true)) % 1.12/1.36 (define @t287 () (or @t213 @t286)) % 1.12/1.36 (define @t288 () (and @t285 (or @t75 @t74))) % 1.12/1.36 (define @t289 () (or @t213 @t288)) % 1.12/1.36 (define @t290 () (not (= @t1 @t1))) % 1.12/1.36 (define @t291 () (or @t213 @t290 @t288)) % 1.12/1.36 (define @t292 () (not (= @t10 @t268))) % 1.12/1.36 (define @t293 () (or @t75 @t212 @t272 @t271 @t270 @t292 @t267)) % 1.12/1.36 (define @t294 () (and @t293 @t76)) % 1.12/1.36 (define @t295 () (not @t13)) % 1.12/1.36 (define @t296 () (or @t115 @t295 @t115 @t294)) % 1.12/1.36 (define @t297 () (or @t295 @t115 @t294)) % 1.12/1.36 (define @t298 () (forall @t14 @t297)) % 1.12/1.36 (define @t299 () (forall @t274 @t298)) % 1.12/1.36 (define @t300 () (forall (@list @t264 @t263 @t262 @t10) @t297)) % 1.12/1.36 (define @t301 () (@list @t10 @t264 @t263 @t262)) % 1.12/1.36 (define @t302 () (or @t272 @t271 @t270 @t292 @t267)) % 1.12/1.36 (define @t303 () (or @t75 @t212 @t302)) % 1.12/1.36 (define @t304 () (and @t303 @t76)) % 1.12/1.36 (define @t305 () (or @t295 @t115 @t304)) % 1.12/1.36 (define @t306 () (forall @t301 @t305)) % 1.12/1.36 (define @t307 () (forall @t274 @t305)) % 1.12/1.36 (define @t308 () (forall @t274 @t76)) % 1.12/1.36 (define @t309 () (forall @t274 @t302)) % 1.12/1.36 (define @t310 () (@var "BOUND_VARIABLE_11065" $$unsorted)) % 1.12/1.36 (define @t311 () (@var "BOUND_VARIABLE_11063" $$unsorted)) % 1.12/1.36 (define @t312 () (or @t75 @t212 @t309)) % 1.12/1.36 (define @t313 () (forall @t274 @t303)) % 1.12/1.36 (define @t314 () (and @t313 @t308)) % 1.12/1.36 (define @t315 () (forall @t274 @t304)) % 1.12/1.36 (define @t316 () (or @t295 @t115 @t315)) % 1.12/1.36 (define @t317 () (not (= @t12 (tptp.app @t311 @t310)))) % 1.12/1.36 (define @t318 () (not (= @t10 (tptp.app (tptp.app @t311 @t82) @t310)))) % 1.12/1.36 (define @t319 () (not (tptp.ssList @t310))) % 1.12/1.36 (define @t320 () (not (tptp.ssList @t311))) % 1.12/1.36 (define @t321 () (not @t95)) % 1.12/1.36 (define @t322 () (or @t321 @t320 @t319 @t318 @t317)) % 1.12/1.36 (define @t323 () (@list @t81 @t311 @t310)) % 1.12/1.36 (define @t324 () (and (or @t75 @t212 (forall @t323 @t322)) @t76)) % 1.12/1.36 (define @t325 () (or @t295 @t115 @t324)) % 1.12/1.36 (define @t326 () (forall @t14 @t325)) % 1.12/1.36 (define @t327 () (or @t114 @t326)) % 1.12/1.36 (define @t328 () (or @t114 @t325)) % 1.12/1.36 (define @t329 () (or @t295 @t115 @t114 @t324)) % 1.12/1.36 (define @t330 () (or @t115 @t114 @t324)) % 1.12/1.36 (define @t331 () (or @t320 @t319 @t318 @t317)) % 1.12/1.36 (define @t332 () (or @t321 @t331)) % 1.12/1.36 (define @t333 () (forall @t323 @t332)) % 1.12/1.36 (define @t334 () (@list @t311 @t310)) % 1.12/1.36 (define @t335 () (forall @t334 @t332)) % 1.12/1.36 (define @t336 () (forall @t334 @t331)) % 1.12/1.36 (define @t337 () (@var "BOUND_VARIABLE_11042" $$unsorted)) % 1.12/1.36 (define @t338 () (or @t321 @t336)) % 1.12/1.36 (define @t339 () (not (= @t12 (tptp.app @t78 @t337)))) % 1.12/1.36 (define @t340 () (not (= @t10 (tptp.app @t83 @t337)))) % 1.12/1.36 (define @t341 () (not (tptp.ssList @t337))) % 1.12/1.36 (define @t342 () (not @t91)) % 1.12/1.36 (define @t343 () (or @t342 @t341 @t340 @t339)) % 1.12/1.36 (define @t344 () (@list @t78 @t337)) % 1.12/1.36 (define @t345 () (forall @t344 @t343)) % 1.12/1.36 (define @t346 () (or @t341 @t340 @t339)) % 1.12/1.36 (define @t347 () (or @t342 @t346)) % 1.12/1.36 (define @t348 () (forall @t344 @t347)) % 1.12/1.36 (define @t349 () (@list @t337)) % 1.12/1.36 (define @t350 () (forall @t349 @t347)) % 1.12/1.36 (define @t351 () (forall @t349 @t346)) % 1.12/1.36 (define @t352 () (or @t342 @t351)) % 1.12/1.36 (define @t353 () (not (= @t12 @t79))) % 1.12/1.36 (define @t354 () (not (= @t10 @t84))) % 1.12/1.36 (define @t355 () (not @t87)) % 1.12/1.36 (define @t356 () (or @t355 @t354 @t353)) % 1.12/1.36 (define @t357 () (forall @t89 @t356)) % 1.12/1.36 (define @t358 () (or @t354 @t353)) % 1.12/1.36 (define @t359 () (or @t155 @t154 @t153 @t210 @t174)) % 1.12/1.36 (define @t360 () (or @t156 @t359)) % 1.12/1.36 (define @t361 () (forall @t157 @t360)) % 1.12/1.36 (define @t362 () (@list @t150 @t147)) % 1.12/1.36 (define @t363 () (forall @t362 @t360)) % 1.12/1.36 (define @t364 () (forall @t362 @t359)) % 1.12/1.36 (define @t365 () (@var "BOUND_VARIABLE_10979" $$unsorted)) % 1.12/1.36 (define @t366 () (or @t156 @t364)) % 1.12/1.36 (define @t367 () (not (= @t2 (tptp.app @t28 @t365)))) % 1.12/1.36 (define @t368 () (not (= @t1 (tptp.app @t102 @t365)))) % 1.12/1.36 (define @t369 () (not (tptp.ssList @t365))) % 1.12/1.36 (define @t370 () (not @t99)) % 1.12/1.36 (define @t371 () (not @t30)) % 1.12/1.36 (define @t372 () (or @t371 @t370 @t369 @t368 @t367)) % 1.12/1.36 (define @t373 () (@list @t27 @t365)) % 1.12/1.36 (define @t374 () (forall @t373 @t372)) % 1.12/1.36 (define @t375 () (not @t374)) % 1.12/1.36 (define @t376 () (and @t32 @t375)) % 1.12/1.36 (define @t377 () (forall @t33 (not @t376))) % 1.12/1.36 (define @t378 () (not @t377)) % 1.12/1.36 (define @t379 () (or @t369 @t368 @t367)) % 1.12/1.36 (define @t380 () (or @t371 @t370 @t379)) % 1.12/1.36 (define @t381 () (forall @t373 @t380)) % 1.12/1.36 (define @t382 () (@list @t365)) % 1.12/1.36 (define @t383 () (forall @t382 @t380)) % 1.12/1.36 (define @t384 () (forall @t382 @t379)) % 1.12/1.36 (define @t385 () (or @t371 @t370 @t384)) % 1.12/1.36 (define @t386 () (= @t2 @t101)) % 1.12/1.36 (define @t387 () (not @t386)) % 1.12/1.36 (define @t388 () (= @t1 @t103)) % 1.12/1.36 (define @t389 () (not @t388)) % 1.12/1.36 (define @t390 () (not @t104)) % 1.12/1.36 (define @t391 () (or @t390 @t389 @t387)) % 1.12/1.36 (define @t392 () (forall @t106 @t391)) % 1.12/1.36 (define @t393 () (or @t371 @t370 @t392)) % 1.12/1.36 (define @t394 () (or @t370 @t392)) % 1.12/1.36 (define @t395 () (not @t394)) % 1.12/1.36 (define @t396 () (and @t30 @t395)) % 1.12/1.36 (define @t397 () (forall @t31 (not @t396))) % 1.12/1.36 (define @t398 () (not @t397)) % 1.12/1.36 (define @t399 () (or @t370 @t391)) % 1.12/1.36 (define @t400 () (or @t390 @t389 @t387 @t370)) % 1.12/1.36 (define @t401 () (and @t104 @t388 @t386 @t99)) % 1.12/1.36 (define @t402 () (forall @t106 (not @t401))) % 1.12/1.36 (define @t403 () (not @t402)) % 1.12/1.36 (define @t404 () (tptp.ssItem @t165)) % 1.12/1.36 (define @t405 () (@quantifiers_skolemize @t164 2)) % 1.12/1.36 (define @t406 () (tptp.ssList @t405)) % 1.12/1.36 (define @t407 () (not @t406)) % 1.12/1.36 (define @t408 () (@quantifiers_skolemize @t164 1)) % 1.12/1.36 (define @t409 () (tptp.ssList @t408)) % 1.12/1.36 (define @t410 () (not @t409)) % 1.12/1.36 (define @t411 () (not @t404)) % 1.12/1.36 (define @t412 () (tptp.app @t408 @t405)) % 1.12/1.36 (define @t413 () (tptp.cons @t165 tptp.nil)) % 1.12/1.36 (define @t414 () (tptp.app (tptp.app @t408 @t413) @t405)) % 1.12/1.36 (define @t415 () (forall @t157 (or @t156 @t155 @t154 @t153 (not (= @t151 @t414)) (not (= @t148 @t412))))) % 1.12/1.36 (define @t416 () (not @t415)) % 1.12/1.36 (define @t417 () (or (not (tptp.ssList @t412)) (not (tptp.ssList @t414)) (not (tptp.neq @t414 tptp.nil)) @t416 @t411 @t410 @t407)) % 1.12/1.36 (define @t418 () (@list true)) % 1.12/1.36 (define @t419 () (@list @t417)) % 1.12/1.36 (define @t420 () (tptp.ssList @t413)) % 1.12/1.36 (define @t421 () (not @t45)) % 1.12/1.36 (define @t422 () (or @t421 @t411 @t420)) % 1.12/1.36 (define @t423 () (@list false false false)) % 1.12/1.36 (define @t424 () (tptp.neq @t413 tptp.nil)) % 1.12/1.36 (define @t425 () (not @t424)) % 1.12/1.36 (define @t426 () (not @t420)) % 1.12/1.36 (define @t427 () (or @t410 @t426 @t425 @t407)) % 1.12/1.36 (define @t428 () (not (= @t412 @t412))) % 1.12/1.36 (define @t429 () (not (= @t414 @t414))) % 1.12/1.36 (define @t430 () (or @t410 @t426 @t425 @t407 @t429 @t428)) % 1.12/1.36 (define @t431 () (@list false)) % 1.12/1.36 (define @t432 () (@var "BOUND_VARIABLE_9176" $$unsorted)) % 1.12/1.36 (define @t433 () (not (= @t2 (tptp.cons @t432 @t2)))) % 1.12/1.36 (define @t434 () (not (tptp.ssItem @t432))) % 1.12/1.36 (define @t435 () (or @t434 @t433)) % 1.12/1.36 (define @t436 () (or @t129 @t435)) % 1.12/1.36 (define @t437 () (forall (@list @t2 @t432) @t436)) % 1.12/1.36 (define @t438 () (@list @t432)) % 1.12/1.36 (define @t439 () (forall @t438 @t436)) % 1.12/1.36 (define @t440 () (forall @t438 @t435)) % 1.12/1.36 (define @t441 () (or @t129 @t440)) % 1.12/1.36 (define @t442 () (not (= @t2 @t40))) % 1.12/1.36 (define @t443 () (forall @t7 (or @t138 @t442))) % 1.12/1.36 (define @t444 () (= tptp.nil @t413)) % 1.12/1.36 (define @t445 () (not @t444)) % 1.12/1.36 (define @t446 () (or @t421 @t411 @t445)) % 1.12/1.36 (define @t447 () (= @t445 @t424)) % 1.12/1.36 (define @t448 () (not @t447)) % 1.12/1.36 (define @t449 () (@var "BOUND_VARIABLE_9132" $$unsorted)) % 1.12/1.36 (define @t450 () (= (tptp.neq @t2 @t449) (not (= @t2 @t449)))) % 1.12/1.36 (define @t451 () (not (tptp.ssList @t449))) % 1.12/1.36 (define @t452 () (or @t129 @t451 @t450)) % 1.12/1.36 (define @t453 () (or @t451 @t450)) % 1.12/1.36 (define @t454 () (or @t129 @t453)) % 1.12/1.36 (define @t455 () (@list @t2 @t449)) % 1.12/1.36 (define @t456 () (forall @t455 @t454)) % 1.12/1.36 (define @t457 () (@list @t449)) % 1.12/1.36 (define @t458 () (forall @t457 @t454)) % 1.12/1.36 (define @t459 () (forall @t457 @t453)) % 1.12/1.36 (define @t460 () (or @t129 @t459)) % 1.12/1.36 (define @t461 () (forall @t7 (or @t213 @t5))) % 1.12/1.36 (define @t462 () (not (= @t413 tptp.nil))) % 1.12/1.36 (define @t463 () (= @t424 @t462)) % 1.12/1.36 (define @t464 () (or @t426 @t421 @t463)) % 1.12/1.36 (define @t465 () (forall @t455 @t452)) % 1.12/1.36 (define @t466 () (or @t426 @t421 @t447)) % 1.12/1.36 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 1.12/1.36 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 1.12/1.36 (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))))))))))) % 1.12/1.36 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 1.12/1.36 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 1.12/1.36 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 1.12/1.36 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 1.12/1.36 (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))))))))))))))))) % 1.12/1.36 (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)))))))))))))))) % 1.12/1.36 (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))))))))))))))))) % 1.12/1.36 (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))))))))))))))) % 1.12/1.36 (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))))))))))))))) % 1.12/1.36 (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)))))))))))))))) % 1.12/1.36 (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))))))))))))) % 1.12/1.36 (assume @p15 @t39) % 1.12/1.36 (assume @p16 @t44) % 1.12/1.36 (assume @p17 @t45) % 1.12/1.36 (assume @p18 @t50) % 1.12/1.36 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t51))))))))))) % 1.12/1.36 (assume @p20 (forall @t9 (=> @t17 (or @t53 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t52 @t2))))))))) % 1.12/1.36 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 1.12/1.36 (assume @p22 (forall @t9 (=> @t17 (=> @t55 (tptp.ssItem @t54))))) % 1.12/1.36 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 1.12/1.36 (assume @p24 (forall @t9 (=> @t17 (=> @t55 (tptp.ssList @t56))))) % 1.12/1.36 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 1.12/1.36 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t57)))))) % 1.12/1.36 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t58) (tptp.app @t52 @t2))))))))) % 1.12/1.36 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 1.12/1.36 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t60 @t59) @t3)))))) % 1.12/1.36 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t60 @t26) (tptp.leq @t2 @t12))))))))) % 1.12/1.36 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 1.12/1.36 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t61 @t59)))))) % 1.12/1.36 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t63 (not @t62))))))) % 1.12/1.36 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t63 @t35) @t64)))))))) % 1.12/1.36 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t65 @t62)))))) % 1.12/1.36 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t66))))))))) % 1.12/1.36 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t66))))))))) % 1.12/1.36 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 1.12/1.36 (assume @p39 (not (tptp.singletonP tptp.nil))) % 1.12/1.36 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 1.12/1.36 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 1.12/1.36 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 1.12/1.36 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 1.12/1.36 (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)))))))))))) % 1.12/1.36 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 1.12/1.36 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t53)))) % 1.12/1.36 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 1.12/1.36 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 1.12/1.36 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 1.12/1.36 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t67 @t1))))))))) % 1.12/1.36 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 1.12/1.36 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t53)))) % 1.12/1.36 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 1.12/1.36 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 1.12/1.36 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 1.12/1.36 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t67 @t10) @t1))))))))))) % 1.12/1.36 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 1.12/1.36 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t53)))) % 1.12/1.36 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t68)))) % 1.12/1.36 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 1.12/1.36 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t68)))) % 1.12/1.36 (assume @p62 (tptp.totalorderP tptp.nil)) % 1.12/1.36 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t68)))) % 1.12/1.36 (assume @p64 (tptp.strictorderP tptp.nil)) % 1.12/1.36 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t68)))) % 1.12/1.36 (assume @p66 (tptp.totalorderedP tptp.nil)) % 1.12/1.36 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t72) (or @t70 (and @t71 (tptp.totalorderedP @t1) (tptp.leq @t2 @t69))))))))) % 1.12/1.36 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t68)))) % 1.12/1.36 (assume @p69 (tptp.strictorderedP tptp.nil)) % 1.12/1.36 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t72) (or @t70 (and @t71 (tptp.strictorderedP @t1) (tptp.lt @t2 @t69))))))))) % 1.12/1.36 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t68)))) % 1.12/1.36 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 1.12/1.36 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t68)))) % 1.12/1.36 (assume @p74 (tptp.equalelemsP tptp.nil)) % 1.12/1.36 (assume @p75 (forall @t9 (=> @t17 (=> @t55 (exists @t7 (and @t6 (= @t54 @t1))))))) % 1.12/1.36 (assume @p76 (forall @t9 (=> @t17 (=> @t55 (exists @t7 (and @t21 (= @t56 @t1))))))) % 1.12/1.36 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t71 @t55 (= @t69 @t54) (= (tptp.tl @t1) @t56)) @t51)))))) % 1.12/1.36 (assume @p78 (forall @t9 (=> @t17 (=> @t55 (= (tptp.cons @t54 @t56) @t2))))) % 1.12/1.36 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t57) @t73)))))))) % 1.12/1.36 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t58) @t73)))))))) % 1.12/1.36 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 1.12/1.36 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t57 @t12) (tptp.app @t2 @t19))))))))) % 1.12/1.36 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t57) (and @t70 @t53))))))) % 1.12/1.36 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 1.12/1.36 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t55 (= (tptp.hd @t57) @t54))))))) % 1.12/1.36 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t55 (= (tptp.tl @t57) (tptp.app @t56 @t1)))))))) % 1.12/1.36 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t61 (tptp.geq @t1 @t2)) @t3)))))) % 1.12/1.36 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t61 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 1.12/1.36 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 1.12/1.36 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 1.12/1.36 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t60 @t35) @t64)))))))) % 1.12/1.36 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t60 (or @t3 @t63))))))) % 1.12/1.36 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t63 (and @t4 @t60))))))) % 1.12/1.36 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t65 (not (tptp.gt @t1 @t2)))))))) % 1.12/1.36 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t65 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 1.12/1.36 (assume @p96 @t125) % 1.12/1.36 (assume @p97 true) % 1.12/1.36 (step @p98 :rule aci_norm :args ((= @t131 (or @t129 @t128 @t127)))) % 1.12/1.36 (step @p99 :rule cong :premises (@p98) :args (@t132)) % 1.12/1.36 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t134) @t132))) % 1.12/1.36 (step @p101 :rule alpha_equiv :args (@t135 (@list @t126) @t136)) % 1.12/1.36 (step @p102 :rule refl :args (@t129)) % 1.12/1.36 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t137)) % 1.12/1.36 (step @p104 :rule quant-miniscope-or :args ((= @t134 @t137))) % 1.12/1.36 (step @p105 :rule trans :premises (@p104 @p103)) % 1.12/1.36 (step @p106 :rule symm :premises (@p105)) % 1.12/1.36 (step @p107 :rule cong :premises (@p106) :args ((forall @t9 (or @t129 @t139)))) % 1.12/1.36 (step @p108 :rule trans :premises (@p107 @p100)) % 1.12/1.36 (step @p109 :rule trans :premises (@p108 @p99)) % 1.12/1.36 (step @p110 :rule bool-impl-elim :args (@t17 @t139)) % 1.12/1.36 (step @p111 :rule cong :premises (@p110) :args ((forall @t9 (=> @t17 @t139)))) % 1.12/1.36 (step @p112 :rule trans :premises (@p111 @p109)) % 1.12/1.36 (step @p113 :rule bool-impl-elim :args (@t6 @t41)) % 1.12/1.36 (step @p114 :rule cong :premises (@p113) :args (@t42)) % 1.12/1.36 (step @p115 :rule refl :args (@t17)) % 1.12/1.36 (step @p116 :rule cong :premises (@p115 @p114) :args (@t43)) % 1.12/1.36 (step @p117 :rule cong :premises (@p116) :args (@t44)) % 1.12/1.36 (step @p118 :rule trans :premises (@p117 @p112)) % 1.12/1.36 (step @p119 :rule eq_resolve :premises (@p16 @p118)) % 1.12/1.36 (step @p120 :rule instantiate :premises (@p119) :args (@t166)) % 1.12/1.36 (step @p121 :rule aci_norm :args ((= (or @t161 @t160 @t159 @t158 @t145 @t143 @t141 false) @t162))) % 1.12/1.36 (step @p122 :rule evaluate :args ((not true))) % 1.12/1.36 (step @p123 :rule eq-refl :args (@t146)) % 1.12/1.36 (step @p124 :rule cong :premises (@p123) :args (@t167)) % 1.12/1.36 (step @p125 :rule trans :premises (@p124 @p122)) % 1.12/1.36 (step @p126 :rule refl :args (@t141)) % 1.12/1.36 (step @p127 :rule refl :args (@t143)) % 1.12/1.36 (step @p128 :rule refl :args (@t145)) % 1.12/1.36 (step @p129 :rule eq-symm :args (@t146 @t148)) % 1.12/1.36 (step @p130 :rule cong :premises (@p129) :args (@t168)) % 1.12/1.36 (step @p131 :rule refl :args (@t152)) % 1.12/1.36 (step @p132 :rule refl :args (@t153)) % 1.12/1.36 (step @p133 :rule refl :args (@t154)) % 1.12/1.36 (step @p134 :rule refl :args (@t155)) % 1.12/1.36 (step @p135 :rule refl :args (@t156)) % 1.12/1.36 (step @p136 :rule nary_cong :premises (@p135 @p134 @p133 @p132 @p131 @p130) :args (@t169)) % 1.12/1.36 (step @p137 :rule cong :premises (@p136) :args (@t170)) % 1.12/1.36 (step @p138 :rule cong :premises (@p137) :args (@t171)) % 1.12/1.36 (step @p139 :rule refl :args (@t159)) % 1.12/1.36 (step @p140 :rule refl :args (@t160)) % 1.12/1.36 (step @p141 :rule refl :args (@t161)) % 1.12/1.36 (step @p142 :rule nary_cong :premises (@p141 @p140 @p139 @p138 @p128 @p127 @p126 @p125) :args (@t172)) % 1.12/1.36 (step @p143 :rule trans :premises (@p142 @p121)) % 1.12/1.36 (step @p144 :rule cong :premises (@p143) :args ((forall @t163 @t172))) % 1.12/1.36 (step @p145 :rule quant-var-elim-eq :args ((= (forall @t9 @t176) @t172))) % 1.12/1.36 (step @p146 :rule aci_norm :args ((= @t177 @t176))) % 1.12/1.36 (step @p147 :rule cong :premises (@p146) :args (@t178)) % 1.12/1.36 (step @p148 :rule trans :premises (@p147 @p145)) % 1.12/1.36 (step @p149 :rule cong :premises (@p148) :args (@t179)) % 1.12/1.36 (step @p150 :rule quant-merge-prenex :args ((= @t179 @t180))) % 1.12/1.36 (step @p151 :rule symm :premises (@p150)) % 1.12/1.36 (step @p152 :rule quant_var_reordering :args ((= (forall @t181 @t177) @t180))) % 1.12/1.36 (step @p153 :rule trans :premises (@p152 @p151 @p149)) % 1.12/1.36 (step @p154 :rule trans :premises (@p153 @p144)) % 1.12/1.36 (step @p155 :rule aci_norm :args ((= @t183 @t177))) % 1.12/1.36 (step @p156 :rule cong :premises (@p155) :args (@t184)) % 1.12/1.36 (step @p157 :rule trans :premises (@p156 @p154)) % 1.12/1.36 (step @p158 :rule quant-merge-prenex :args ((= (forall @t9 @t185) @t184))) % 1.12/1.36 (step @p159 :rule alpha_equiv :args (@t186 (@list @t144 @t142 @t140) @t190)) % 1.12/1.36 (step @p160 :rule nary_cong :premises (@p102 @p159) :args (@t191)) % 1.12/1.36 (step @p161 :rule quant-miniscope-or :args ((= @t185 @t191))) % 1.12/1.36 (step @p162 :rule trans :premises (@p161 @p160)) % 1.12/1.36 (step @p163 :rule symm :premises (@p162)) % 1.12/1.36 (step @p164 :rule cong :premises (@p163) :args ((forall @t9 @t202))) % 1.12/1.36 (step @p165 :rule trans 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(step @p582 :rule alpha_equiv :args (@t440 (@list @t432) @t136)) % 1.12/1.36 (step @p583 :rule nary_cong :premises (@p102 @p582) :args (@t441)) % 1.12/1.36 (step @p584 :rule quant-miniscope-or :args ((= @t439 @t441))) % 1.12/1.36 (step @p585 :rule trans :premises (@p584 @p583)) % 1.12/1.36 (step @p586 :rule symm :premises (@p585)) % 1.12/1.36 (step @p587 :rule cong :premises (@p586) :args ((forall @t9 (or @t129 @t443)))) % 1.12/1.36 (step @p588 :rule trans :premises (@p587 @p581)) % 1.12/1.36 (step @p589 :rule trans :premises (@p588 @p580)) % 1.12/1.36 (step @p590 :rule bool-impl-elim :args (@t17 @t443)) % 1.12/1.36 (step @p591 :rule cong :premises (@p590) :args ((forall @t9 (=> @t17 @t443)))) % 1.12/1.36 (step @p592 :rule trans :premises (@p591 @p589)) % 1.12/1.36 (step @p593 :rule bool-impl-elim :args (@t6 @t442)) % 1.12/1.36 (step @p594 :rule cong :premises (@p593) :args ((forall @t7 (=> @t6 @t442)))) % 1.12/1.36 (step @p595 :rule eq-symm :args (@t40 @t2)) % 1.12/1.36 (step @p596 :rule cong :premises (@p595) :args (@t46)) % 1.12/1.36 (step @p597 :rule refl :args (@t6)) % 1.12/1.36 (step @p598 :rule cong :premises (@p597 @p596) :args (@t47)) % 1.12/1.36 (step @p599 :rule cong :premises (@p598) :args (@t48)) % 1.12/1.36 (step @p600 :rule trans :premises (@p599 @p594)) % 1.12/1.36 (step @p601 :rule cong :premises (@p115 @p600) :args (@t49)) % 1.12/1.36 (step @p602 :rule cong :premises (@p601) :args (@t50)) % 1.12/1.36 (step @p603 :rule trans :premises (@p602 @p592)) % 1.12/1.36 (step @p604 :rule eq_resolve :premises (@p18 @p603)) % 1.12/1.36 (step @p605 :rule instantiate :premises (@p604) :args (@t166)) % 1.12/1.36 (step @p606 :rule cnf_or_pos :args (@t446)) % 1.12/1.36 (step @p607 :rule reordering :premises (@p606) :args ((or @t421 @t411 @t445 (not @t446)))) % 1.12/1.36 (step @p608 :rule chain_m_resolution :premises (@p607 @p17 @p532 @p605) :args (@t445 @t423 (@list @t45 @t404 @t446))) % 1.12/1.36 (step @p609 :rule refl :args (@t424)) % 1.12/1.36 (step @p610 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1.12/1.36 (step @p623 :rule trans :premises (@p622 @p621)) % 1.12/1.36 (step @p624 :rule symm :premises (@p623)) % 1.12/1.36 (step @p625 :rule cong :premises (@p624) :args ((forall @t9 (or @t129 @t461)))) % 1.12/1.36 (step @p626 :rule trans :premises (@p625 @p619)) % 1.12/1.36 (step @p627 :rule trans :premises (@p626 @p618)) % 1.12/1.36 (step @p628 :rule bool-impl-elim :args (@t17 @t461)) % 1.12/1.36 (step @p629 :rule cong :premises (@p628) :args ((forall @t9 (=> @t17 @t461)))) % 1.12/1.36 (step @p630 :rule trans :premises (@p629 @p627)) % 1.12/1.36 (step @p631 :rule bool-impl-elim :args (@t21 @t5)) % 1.12/1.36 (step @p632 :rule cong :premises (@p631) :args (@t37)) % 1.12/1.36 (step @p633 :rule cong :premises (@p115 @p632) :args (@t38)) % 1.12/1.37 (step @p634 :rule cong :premises (@p633) :args (@t39)) % 1.12/1.37 (step @p635 :rule trans :premises (@p634 @p630)) % 1.12/1.37 (step @p636 :rule eq_resolve :premises (@p15 @p635)) % 1.12/1.37 (step @p637 :rule eq-symm :args (@t424 @t445)) % 1.12/1.37 (step @p638 :rule eq-symm :args (@t413 tptp.nil)) % 1.12/1.37 (step @p639 :rule cong :premises (@p638) :args (@t462)) % 1.12/1.37 (step @p640 :rule cong :premises (@p609 @p639) :args (@t463)) % 1.12/1.37 (step @p641 :rule trans :premises (@p640 @p637)) % 1.12/1.37 (step @p642 :rule refl :args (@t421)) % 1.12/1.37 (step @p643 :rule nary_cong :premises (@p551 @p642 @p641) :args (@t464)) % 1.12/1.37 (step @p644 :rule refl :args (@t465)) % 1.12/1.37 (step @p645 :rule cong :premises (@p644 @p643) :args ((=> @t465 @t464))) % 1.12/1.37 (assume-push @p658 @t465) % 1.12/1.37 (step @p647 :rule instantiate :premises (@p636) :args ((@list @t413 tptp.nil))) % 1.12/1.37 (step-pop @p659 :rule scope :premises (@p647)) % 1.12/1.37 (step @p648 :rule process_scope :premises (@p659) :args (@t464)) % 1.12/1.37 (step @p650 :rule eq_resolve :premises (@p648 @p645)) % 1.12/1.37 (step @p651 :rule implies_elim :premises (@p650)) % 1.12/1.37 (step @p652 :rule chain_m_resolution :premises (@p651 @p636) :args (@t466 @t431 (@list @t465))) % 1.12/1.37 (step @p653 :rule cnf_or_pos :args (@t466)) % 1.12/1.37 (step @p654 :rule reordering :premises (@p653) :args ((or @t421 @t426 @t447 (not @t466)))) % 1.12/1.37 (step @p655 false :rule chain_m_resolution :premises (@p654 @p652 @p616 @p535 @p17) :args (false (@list false true false false) (@list @t466 @t447 @t420 @t45))) % 1.12/1.37 ) % 1.12/1.37 % SZS output end Proof % 1.12/1.37 % cvc5 exiting %------------------------------------------------------------------------------