%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC213+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 : n023.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:58:29 AM UTC 2026 % Result : Theorem 0.51s 0.74s % Output : Proof 0.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC213+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 % 0.15/0.34 % Computer : n023.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:25:58 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.51/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.51/0.74 % SZS status Theorem % 0.51/0.74 % SZS output start Proof % 0.51/0.74 ( % 0.51/0.74 (declare-sort $$unsorted 0) % 0.51/0.74 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.51/0.74 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.51/0.74 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.51/0.74 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.51/0.74 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.51/0.74 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.51/0.74 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.51/0.74 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.51/0.74 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.51/0.74 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.51/0.74 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.51/0.74 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.74 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.51/0.74 (declare-const tptp.nil $$unsorted) % 0.51/0.74 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.51/0.74 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.51/0.74 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.51/0.74 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.51/0.74 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.51/0.74 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.51/0.74 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.51/0.74 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.51/0.74 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.51/0.74 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.51/0.74 (define @t1 () (@var "V" $$unsorted)) % 0.51/0.74 (define @t2 () (@var "U" $$unsorted)) % 0.51/0.74 (define @t3 () (= @t2 @t1)) % 0.51/0.74 (define @t4 () (not @t3)) % 0.51/0.74 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.51/0.74 (define @t6 () (tptp.ssItem @t1)) % 0.51/0.74 (define @t7 () (@list @t1)) % 0.51/0.74 (define @t8 () (tptp.ssItem @t2)) % 0.51/0.74 (define @t9 () (@list @t2)) % 0.51/0.74 (define @t10 () (@var "X" $$unsorted)) % 0.51/0.74 (define @t11 () (tptp.cons @t1 @t10)) % 0.51/0.74 (define @t12 () (@var "W" $$unsorted)) % 0.51/0.74 (define @t13 () (tptp.ssList @t10)) % 0.51/0.74 (define @t14 () (@list @t10)) % 0.51/0.74 (define @t15 () (tptp.ssList @t12)) % 0.51/0.74 (define @t16 () (@list @t12)) % 0.51/0.74 (define @t17 () (tptp.ssList @t2)) % 0.51/0.74 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.51/0.74 (define @t19 () (tptp.app @t1 @t12)) % 0.51/0.74 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.51/0.74 (define @t21 () (tptp.ssList @t1)) % 0.51/0.74 (define @t22 () (tptp.app @t12 @t1)) % 0.51/0.74 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.51/0.74 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.51/0.74 (define @t25 () (tptp.leq @t12 @t1)) % 0.51/0.74 (define @t26 () (tptp.leq @t1 @t12)) % 0.51/0.74 (define @t27 () (@var "Z" $$unsorted)) % 0.51/0.74 (define @t28 () (@var "Y" $$unsorted)) % 0.51/0.74 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.51/0.74 (define @t30 () (tptp.ssList @t27)) % 0.51/0.74 (define @t31 () (@list @t27)) % 0.51/0.74 (define @t32 () (tptp.ssList @t28)) % 0.51/0.74 (define @t33 () (@list @t28)) % 0.51/0.74 (define @t34 () (tptp.ssItem @t12)) % 0.51/0.74 (define @t35 () (tptp.lt @t1 @t12)) % 0.51/0.74 (define @t36 () (= @t1 @t12)) % 0.51/0.74 (define @t37 () (tptp.equalelemsP @t2)) % 0.51/0.74 (define @t38 () (forall @t7 (=> @t21 @t5))) % 0.51/0.74 (define @t39 () (=> @t17 @t38)) % 0.51/0.74 (define @t40 () (forall @t9 @t39)) % 0.51/0.74 (define @t41 () (tptp.cons @t1 @t2)) % 0.51/0.74 (define @t42 () (tptp.ssList tptp.nil)) % 0.51/0.74 (define @t43 () (= @t1 @t2)) % 0.51/0.74 (define @t44 () (tptp.cons @t12 @t1)) % 0.51/0.74 (define @t45 () (= tptp.nil @t2)) % 0.51/0.74 (define @t46 () (tptp.hd @t2)) % 0.51/0.74 (define @t47 () (not @t45)) % 0.51/0.74 (define @t48 () (tptp.tl @t2)) % 0.51/0.74 (define @t49 () (tptp.app @t2 @t1)) % 0.51/0.74 (define @t50 () (tptp.app @t1 @t2)) % 0.51/0.74 (define @t51 () (tptp.leq @t1 @t2)) % 0.51/0.74 (define @t52 () (tptp.leq @t2 @t1)) % 0.51/0.74 (define @t53 () (tptp.geq @t2 @t1)) % 0.51/0.74 (define @t54 () (tptp.lt @t1 @t2)) % 0.51/0.74 (define @t55 () (tptp.lt @t2 @t1)) % 0.51/0.74 (define @t56 () (tptp.lt @t2 @t12)) % 0.51/0.74 (define @t57 () (tptp.gt @t2 @t1)) % 0.51/0.74 (define @t58 () (tptp.memberP @t12 @t2)) % 0.51/0.74 (define @t59 () (tptp.app @t12 @t2)) % 0.51/0.74 (define @t60 () (tptp.cons @t2 tptp.nil)) % 0.51/0.74 (define @t61 () (tptp.hd @t1)) % 0.51/0.74 (define @t62 () (= tptp.nil @t1)) % 0.51/0.74 (define @t63 () (not @t62)) % 0.51/0.74 (define @t64 () (tptp.cons @t2 @t1)) % 0.51/0.74 (define @t65 () (= @t12 @t2)) % 0.51/0.74 (define @t66 () (not (= tptp.nil @t10))) % 0.51/0.74 (define @t67 () (and @t66 (= tptp.nil @t12))) % 0.51/0.74 (define @t68 () (tptp.neq @t2 tptp.nil)) % 0.51/0.74 (define @t69 () (@var "X4" $$unsorted)) % 0.51/0.74 (define @t70 () (tptp.cons @t69 tptp.nil)) % 0.51/0.74 (define @t71 () (@var "X6" $$unsorted)) % 0.51/0.74 (define @t72 () (tptp.app @t71 @t70)) % 0.51/0.74 (define @t73 () (tptp.ssList @t71)) % 0.51/0.74 (define @t74 () (and @t73 (= @t72 @t12))) % 0.51/0.74 (define @t75 () (@list @t71)) % 0.51/0.74 (define @t76 () (exists @t75 @t74)) % 0.51/0.74 (define @t77 () (@var "X5" $$unsorted)) % 0.51/0.74 (define @t78 () (tptp.app @t70 @t77)) % 0.51/0.74 (define @t79 () (tptp.ssList @t77)) % 0.51/0.74 (define @t80 () (and @t79 (= @t78 @t27) @t76)) % 0.51/0.74 (define @t81 () (@list @t77)) % 0.51/0.74 (define @t82 () (exists @t81 @t80)) % 0.51/0.74 (define @t83 () (tptp.ssItem @t69)) % 0.51/0.74 (define @t84 () (and @t83 @t82)) % 0.51/0.74 (define @t85 () (@list @t69)) % 0.51/0.74 (define @t86 () (exists @t85 @t84)) % 0.51/0.74 (define @t87 () (@var "X3" $$unsorted)) % 0.51/0.74 (define @t88 () (@var "X1" $$unsorted)) % 0.51/0.74 (define @t89 () (tptp.cons @t88 tptp.nil)) % 0.51/0.74 (define @t90 () (tptp.app @t89 @t87)) % 0.51/0.74 (define @t91 () (tptp.ssList @t87)) % 0.51/0.74 (define @t92 () (and @t91 (= @t90 @t12))) % 0.51/0.74 (define @t93 () (@list @t87)) % 0.51/0.74 (define @t94 () (exists @t93 @t92)) % 0.51/0.74 (define @t95 () (@var "X2" $$unsorted)) % 0.51/0.74 (define @t96 () (tptp.app @t95 @t89)) % 0.51/0.74 (define @t97 () (tptp.ssList @t95)) % 0.51/0.74 (define @t98 () (and @t97 (= @t96 @t28) @t94)) % 0.51/0.74 (define @t99 () (@list @t95)) % 0.51/0.74 (define @t100 () (exists @t99 @t98)) % 0.51/0.74 (define @t101 () (tptp.ssItem @t88)) % 0.51/0.74 (define @t102 () (and @t101 @t100)) % 0.51/0.74 (define @t103 () (@list @t88)) % 0.51/0.74 (define @t104 () (exists @t103 @t102)) % 0.51/0.74 (define @t105 () (not (tptp.equalelemsP @t12))) % 0.51/0.74 (define @t106 () (tptp.app @t28 @t12)) % 0.51/0.74 (define @t107 () (tptp.app @t106 @t27)) % 0.51/0.74 (define @t108 () (not (= @t107 @t10))) % 0.51/0.74 (define @t109 () (or @t108 @t105 @t104 @t86)) % 0.51/0.74 (define @t110 () (=> @t30 @t109)) % 0.51/0.74 (define @t111 () (forall @t31 @t110)) % 0.51/0.74 (define @t112 () (=> @t32 @t111)) % 0.51/0.74 (define @t113 () (forall @t33 @t112)) % 0.51/0.74 (define @t114 () (not (tptp.neq @t1 tptp.nil))) % 0.51/0.74 (define @t115 () (not (= @t2 @t12))) % 0.51/0.74 (define @t116 () (not (= @t1 @t10))) % 0.51/0.74 (define @t117 () (or @t116 @t115 @t114 @t113 @t68 @t67)) % 0.51/0.74 (define @t118 () (=> @t13 @t117)) % 0.51/0.74 (define @t119 () (forall @t14 @t118)) % 0.51/0.74 (define @t120 () (=> @t15 @t119)) % 0.51/0.74 (define @t121 () (forall @t16 @t120)) % 0.51/0.74 (define @t122 () (=> @t21 @t121)) % 0.51/0.74 (define @t123 () (forall @t7 @t122)) % 0.51/0.74 (define @t124 () (=> @t17 @t123)) % 0.51/0.74 (define @t125 () (forall @t9 @t124)) % 0.51/0.74 (define @t126 () (not @t125)) % 0.51/0.74 (define @t127 () (@var "BOUND_VARIABLE_11305" $$unsorted)) % 0.51/0.74 (define @t128 () (@var "BOUND_VARIABLE_11066" $$unsorted)) % 0.51/0.74 (define @t129 () (tptp.app @t70 @t128)) % 0.51/0.74 (define @t130 () (not (tptp.ssList @t128))) % 0.51/0.74 (define @t131 () (@var "BOUND_VARIABLE_11058" $$unsorted)) % 0.51/0.74 (define @t132 () (tptp.app @t131 @t70)) % 0.51/0.74 (define @t133 () (not (= @t2 @t132))) % 0.51/0.74 (define @t134 () (not (tptp.ssList @t131))) % 0.51/0.74 (define @t135 () (not @t83)) % 0.51/0.74 (define @t136 () (@list @t69 @t131 @t128)) % 0.51/0.74 (define @t137 () (not (forall @t136 (or @t135 @t134 @t133 @t130 (not (= @t129 @t127)))))) % 0.51/0.74 (define @t138 () (not (tptp.ssList @t127))) % 0.51/0.74 (define @t139 () (@var "BOUND_VARIABLE_11303" $$unsorted)) % 0.51/0.74 (define @t140 () (@var "BOUND_VARIABLE_11011" $$unsorted)) % 0.51/0.74 (define @t141 () (tptp.app @t140 @t89)) % 0.51/0.74 (define @t142 () (not (tptp.ssList @t140))) % 0.51/0.74 (define @t143 () (@var "BOUND_VARIABLE_11003" $$unsorted)) % 0.51/0.74 (define @t144 () (tptp.app @t89 @t143)) % 0.51/0.74 (define @t145 () (not (= @t2 @t144))) % 0.51/0.74 (define @t146 () (not (tptp.ssList @t143))) % 0.51/0.74 (define @t147 () (not @t101)) % 0.51/0.74 (define @t148 () (@list @t88 @t143 @t140)) % 0.51/0.74 (define @t149 () (not (forall @t148 (or @t147 @t146 @t145 @t142 (not (= @t141 @t139)))))) % 0.51/0.74 (define @t150 () (not (tptp.ssList @t139))) % 0.51/0.74 (define @t151 () (= @t2 tptp.nil)) % 0.51/0.74 (define @t152 () (tptp.app (tptp.app @t139 @t2) @t127)) % 0.51/0.74 (define @t153 () (and (not (= tptp.nil @t152)) @t151)) % 0.51/0.74 (define @t154 () (not (tptp.neq @t152 tptp.nil))) % 0.51/0.74 (define @t155 () (not (tptp.ssList @t152))) % 0.51/0.74 (define @t156 () (not @t37)) % 0.51/0.74 (define @t157 () (not @t17)) % 0.51/0.74 (define @t158 () (or @t157 @t68 @t156 @t155 @t154 @t153 @t150 @t149 @t138 @t137)) % 0.51/0.74 (define @t159 () (or @t155 @t154 @t153 @t150 @t149 @t138 @t137)) % 0.51/0.74 (define @t160 () (or @t157 @t68 @t156 @t159)) % 0.51/0.74 (define @t161 () (@list @t2 @t139 @t127)) % 0.51/0.74 (define @t162 () (forall @t161 @t160)) % 0.51/0.74 (define @t163 () (@list @t139 @t127)) % 0.51/0.74 (define @t164 () (forall @t163 @t160)) % 0.51/0.74 (define @t165 () (forall @t163 @t159)) % 0.51/0.74 (define @t166 () (@var "BOUND_VARIABLE_11254" $$unsorted)) % 0.51/0.74 (define @t167 () (@var "BOUND_VARIABLE_11252" $$unsorted)) % 0.51/0.74 (define @t168 () (@list @t167 @t166)) % 0.51/0.74 (define @t169 () (or @t157 @t68 @t156 @t165)) % 0.51/0.74 (define @t170 () (not (forall @t136 (or @t135 @t134 @t133 @t130 (not (= @t129 @t166)))))) % 0.51/0.74 (define @t171 () (not (tptp.ssList @t166))) % 0.51/0.74 (define @t172 () (not (forall @t148 (or @t147 @t146 @t145 @t142 (not (= @t141 @t167)))))) % 0.51/0.74 (define @t173 () (not (tptp.ssList @t167))) % 0.51/0.74 (define @t174 () (tptp.app (tptp.app @t167 @t2) @t166)) % 0.51/0.74 (define @t175 () (and (not (= tptp.nil @t174)) @t151)) % 0.51/0.74 (define @t176 () (not (tptp.neq @t174 tptp.nil))) % 0.51/0.74 (define @t177 () (not (tptp.ssList @t174))) % 0.51/0.74 (define @t178 () (or @t177 @t176 @t175 @t173 @t172 @t171 @t170)) % 0.51/0.74 (define @t179 () (@list @t167 @t166)) % 0.51/0.74 (define @t180 () (forall @t179 @t178)) % 0.51/0.74 (define @t181 () (or @t157 @t68 @t156 @t180)) % 0.51/0.74 (define @t182 () (or @t68 @t157 @t156 @t180)) % 0.51/0.74 (define @t183 () (not (= @t174 @t174))) % 0.51/0.74 (define @t184 () (not (= @t174 tptp.nil))) % 0.51/0.74 (define @t185 () (and @t184 @t151)) % 0.51/0.74 (define @t186 () (or @t177 @t176 @t185 @t173 @t172 @t171 @t183 @t170)) % 0.51/0.74 (define @t187 () (not (= @t1 @t174))) % 0.51/0.74 (define @t188 () (not (= @t1 tptp.nil))) % 0.51/0.74 (define @t189 () (and @t188 @t151)) % 0.51/0.74 (define @t190 () (not @t21)) % 0.51/0.74 (define @t191 () (or @t187 @t190 @t114 @t189 @t173 @t172 @t171 @t187 @t170)) % 0.51/0.74 (define @t192 () (or @t190 @t114 @t189 @t173 @t172 @t171 @t187 @t170)) % 0.51/0.74 (define @t193 () (forall @t7 @t192)) % 0.51/0.74 (define @t194 () (forall @t179 @t193)) % 0.51/0.74 (define @t195 () (forall (@list @t167 @t166 @t1) @t192)) % 0.51/0.74 (define @t196 () (@list @t1 @t167 @t166)) % 0.51/0.74 (define @t197 () (or @t173 @t172 @t171 @t187 @t170)) % 0.51/0.74 (define @t198 () (or @t190 @t114 @t189 @t197)) % 0.51/0.74 (define @t199 () (forall @t196 @t198)) % 0.51/0.74 (define @t200 () (forall @t179 @t198)) % 0.51/0.74 (define @t201 () (forall @t179 @t197)) % 0.51/0.74 (define @t202 () (@var "BOUND_VARIABLE_11190" $$unsorted)) % 0.51/0.74 (define @t203 () (@var "BOUND_VARIABLE_11188" $$unsorted)) % 0.51/0.74 (define @t204 () (@list @t203 @t202)) % 0.51/0.74 (define @t205 () (or @t190 @t114 @t189 @t201)) % 0.51/0.74 (define @t206 () (not (= @t129 @t202))) % 0.51/0.74 (define @t207 () (not (forall @t136 (or @t135 @t134 @t133 @t130 @t206)))) % 0.51/0.74 (define @t208 () (not (= @t1 (tptp.app (tptp.app @t203 @t2) @t202)))) % 0.51/0.74 (define @t209 () (not (tptp.ssList @t202))) % 0.51/0.74 (define @t210 () (not (= @t141 @t203))) % 0.51/0.74 (define @t211 () (not (forall @t148 (or @t147 @t146 @t145 @t142 @t210)))) % 0.51/0.74 (define @t212 () (not (tptp.ssList @t203))) % 0.51/0.74 (define @t213 () (or @t212 @t211 @t209 @t208 @t207)) % 0.51/0.74 (define @t214 () (@list @t203 @t202)) % 0.51/0.74 (define @t215 () (forall @t214 @t213)) % 0.51/0.74 (define @t216 () (or @t190 @t114 @t189 @t215)) % 0.51/0.74 (define @t217 () (forall @t7 @t216)) % 0.51/0.74 (define @t218 () (or @t68 @t157 @t156 @t217)) % 0.51/0.74 (define @t219 () (or @t68 @t157 @t156 @t216)) % 0.51/0.74 (define @t220 () (or @t190 @t114 @t68 @t157 @t156 @t189 @t215)) % 0.51/0.74 (define @t221 () (or @t114 @t68 @t190 @t157 @t156 @t189 @t215)) % 0.51/0.74 (define @t222 () (or @t157 @t156 @t189 @t215)) % 0.51/0.74 (define @t223 () (or @t157 @t156 @t189 @t213)) % 0.51/0.74 (define @t224 () (or @t157 @t156 @t189 @t212 @t211 @t209 @t208 @t207)) % 0.51/0.74 (define @t225 () (not (= @t2 @t2))) % 0.51/0.74 (define @t226 () (or @t157 @t225 @t156 @t189 @t212 @t211 @t209 @t208 @t207)) % 0.51/0.74 (define @t227 () (not (= @t12 @t132))) % 0.51/0.74 (define @t228 () (not (forall @t136 (or @t135 @t134 @t227 @t130 @t206)))) % 0.51/0.74 (define @t229 () (not (= @t1 (tptp.app (tptp.app @t203 @t12) @t202)))) % 0.51/0.74 (define @t230 () (not (= @t12 @t144))) % 0.51/0.74 (define @t231 () (not (forall @t148 (or @t147 @t146 @t230 @t142 @t210)))) % 0.51/0.74 (define @t232 () (= @t12 tptp.nil)) % 0.51/0.74 (define @t233 () (and @t188 @t232)) % 0.51/0.74 (define @t234 () (not @t15)) % 0.51/0.74 (define @t235 () (or @t115 @t234 @t115 @t105 @t233 @t212 @t231 @t209 @t229 @t228)) % 0.51/0.74 (define @t236 () (or @t234 @t115 @t105 @t233 @t212 @t231 @t209 @t229 @t228)) % 0.51/0.74 (define @t237 () (forall @t16 @t236)) % 0.51/0.74 (define @t238 () (forall @t214 @t237)) % 0.51/0.74 (define @t239 () (forall (@list @t203 @t202 @t12) @t236)) % 0.51/0.74 (define @t240 () (@list @t12 @t203 @t202)) % 0.51/0.74 (define @t241 () (or @t212 @t231 @t209 @t229 @t228)) % 0.51/0.74 (define @t242 () (or @t234 @t115 @t105 @t233 @t241)) % 0.51/0.74 (define @t243 () (forall @t240 @t242)) % 0.51/0.74 (define @t244 () (forall @t214 @t242)) % 0.51/0.74 (define @t245 () (forall @t214 @t241)) % 0.51/0.74 (define @t246 () (@var "BOUND_VARIABLE_11135" $$unsorted)) % 0.51/0.74 (define @t247 () (@var "BOUND_VARIABLE_11133" $$unsorted)) % 0.51/0.74 (define @t248 () (@list @t247 @t246)) % 0.51/0.74 (define @t249 () (or @t234 @t115 @t105 @t233 @t245)) % 0.51/0.74 (define @t250 () (not (forall @t136 (or @t135 @t134 @t227 @t130 (not (= @t129 @t246)))))) % 0.51/0.74 (define @t251 () (tptp.app (tptp.app @t247 @t12) @t246)) % 0.51/0.74 (define @t252 () (not (= @t1 @t251))) % 0.51/0.74 (define @t253 () (not (tptp.ssList @t246))) % 0.51/0.74 (define @t254 () (not (forall @t148 (or @t147 @t146 @t230 @t142 (not (= @t141 @t247)))))) % 0.51/0.74 (define @t255 () (not (tptp.ssList @t247))) % 0.51/0.74 (define @t256 () (or @t255 @t254 @t253 @t252 @t250)) % 0.51/0.74 (define @t257 () (@list @t247 @t246)) % 0.51/0.74 (define @t258 () (forall @t257 @t256)) % 0.51/0.74 (define @t259 () (or @t234 @t115 @t105 @t233 @t258)) % 0.51/0.74 (define @t260 () (forall @t16 @t259)) % 0.51/0.74 (define @t261 () (or @t114 @t68 @t190 @t260)) % 0.51/0.74 (define @t262 () (or @t114 @t68 @t190 @t259)) % 0.51/0.74 (define @t263 () (or @t234 @t115 @t114 @t68 @t105 @t190 @t233 @t258)) % 0.51/0.74 (define @t264 () (or @t115 @t114 @t68 @t105 @t190 @t233 @t258)) % 0.51/0.74 (define @t265 () (or @t190 @t233 @t258)) % 0.51/0.74 (define @t266 () (or @t190 @t233 @t256)) % 0.51/0.74 (define @t267 () (or @t190 @t233 @t255 @t254 @t253 @t252 @t250)) % 0.51/0.74 (define @t268 () (not (= @t1 @t1))) % 0.51/0.74 (define @t269 () (or @t190 @t268 @t233 @t255 @t254 @t253 @t252 @t250)) % 0.51/0.74 (define @t270 () (not (= @t10 @t251))) % 0.51/0.74 (define @t271 () (and (not (= @t10 tptp.nil)) @t232)) % 0.51/0.74 (define @t272 () (not @t13)) % 0.51/0.74 (define @t273 () (or @t116 @t272 @t116 @t271 @t255 @t254 @t253 @t270 @t250)) % 0.51/0.74 (define @t274 () (or @t272 @t116 @t271 @t255 @t254 @t253 @t270 @t250)) % 0.51/0.74 (define @t275 () (forall @t14 @t274)) % 0.51/0.74 (define @t276 () (forall @t257 @t275)) % 0.51/0.74 (define @t277 () (forall (@list @t247 @t246 @t10) @t274)) % 0.51/0.74 (define @t278 () (@list @t10 @t247 @t246)) % 0.51/0.74 (define @t279 () (not (= @t247 @t141))) % 0.51/0.74 (define @t280 () (or @t147 @t146 @t230 @t142 @t279)) % 0.51/0.74 (define @t281 () (forall @t148 @t280)) % 0.51/0.74 (define @t282 () (not @t281)) % 0.51/0.74 (define @t283 () (or @t272 @t116 @t271 @t255 @t282 @t253 @t270 @t250)) % 0.51/0.74 (define @t284 () (or @t255 @t282 @t253 @t270 @t250)) % 0.51/0.74 (define @t285 () (or @t272 @t116 @t271 @t284)) % 0.51/0.74 (define @t286 () (forall @t278 @t285)) % 0.51/0.74 (define @t287 () (forall @t257 @t285)) % 0.51/0.74 (define @t288 () (forall @t257 @t284)) % 0.51/0.74 (define @t289 () (@var "BOUND_VARIABLE_11095" $$unsorted)) % 0.51/0.74 (define @t290 () (or @t272 @t116 @t271 @t288)) % 0.51/0.74 (define @t291 () (not (= @t10 (tptp.app @t106 @t289)))) % 0.51/0.74 (define @t292 () (not (tptp.ssList @t289))) % 0.51/0.74 (define @t293 () (not (= @t28 @t141))) % 0.51/0.74 (define @t294 () (or @t147 @t146 @t230 @t142 @t293)) % 0.51/0.74 (define @t295 () (not (forall @t148 @t294))) % 0.51/0.74 (define @t296 () (not @t32)) % 0.51/0.74 (define @t297 () (@list @t28 @t289)) % 0.51/0.74 (define @t298 () (forall @t297 (or @t296 @t295 @t292 @t291 (not (forall @t136 (or @t135 @t134 @t227 @t130 (not (= @t129 @t289)))))))) % 0.51/0.74 (define @t299 () (or @t272 @t116 @t271 @t298)) % 0.51/0.74 (define @t300 () (forall @t14 @t299)) % 0.51/0.74 (define @t301 () (or @t115 @t114 @t68 @t105 @t300)) % 0.51/0.74 (define @t302 () (or @t115 @t114 @t68 @t105 @t299)) % 0.51/0.74 (define @t303 () (or @t272 @t116 @t115 @t114 @t68 @t271 @t105 @t298)) % 0.51/0.74 (define @t304 () (or @t116 @t115 @t114 @t68 @t271 @t105 @t298)) % 0.51/0.74 (define @t305 () (not (= @t289 @t129))) % 0.51/0.74 (define @t306 () (or @t135 @t134 @t227 @t130 @t305)) % 0.51/0.74 (define @t307 () (forall @t136 @t306)) % 0.51/0.74 (define @t308 () (not @t307)) % 0.51/0.74 (define @t309 () (or @t296 @t295 @t292 @t291 @t308)) % 0.51/0.74 (define @t310 () (or @t292 @t291 @t308)) % 0.51/0.74 (define @t311 () (or @t296 @t295 @t310)) % 0.51/0.74 (define @t312 () (forall @t297 @t311)) % 0.51/0.74 (define @t313 () (@list @t289)) % 0.51/0.74 (define @t314 () (forall @t313 @t311)) % 0.51/0.74 (define @t315 () (forall @t313 @t310)) % 0.51/0.74 (define @t316 () (or @t296 @t295 @t315)) % 0.51/0.74 (define @t317 () (not (= @t27 @t129))) % 0.51/0.74 (define @t318 () (or @t135 @t134 @t227 @t130 @t317)) % 0.51/0.74 (define @t319 () (not (forall @t136 @t318))) % 0.51/0.74 (define @t320 () (not (= @t10 @t107))) % 0.51/0.74 (define @t321 () (not @t30)) % 0.51/0.74 (define @t322 () (or @t321 @t320 @t319)) % 0.51/0.74 (define @t323 () (forall @t31 @t322)) % 0.51/0.74 (define @t324 () (or @t296 @t295 @t323)) % 0.51/0.74 (define @t325 () (forall @t33 @t324)) % 0.51/0.74 (define @t326 () (or @t105 @t325)) % 0.51/0.74 (define @t327 () (or @t105 @t324)) % 0.51/0.74 (define @t328 () (or @t296 @t105 @t295 @t323)) % 0.51/0.74 (define @t329 () (or @t105 @t295 @t323)) % 0.51/0.74 (define @t330 () (or @t105 @t295 @t322)) % 0.51/0.74 (define @t331 () (or @t321 @t320 @t105 @t295 @t319)) % 0.51/0.74 (define @t332 () (or @t320 @t105 @t295 @t319)) % 0.51/0.74 (define @t333 () (or @t130 @t317)) % 0.51/0.74 (define @t334 () (or @t134 @t227)) % 0.51/0.74 (define @t335 () (or @t135 @t334 @t333)) % 0.51/0.74 (define @t336 () (forall @t136 @t335)) % 0.51/0.74 (define @t337 () (forall (@list @t131 @t128) @t335)) % 0.51/0.74 (define @t338 () (forall (@list @t128) @t333)) % 0.51/0.74 (define @t339 () (forall (@list @t131) @t334)) % 0.51/0.74 (define @t340 () (or @t135 @t339 @t338)) % 0.51/0.74 (define @t341 () (= @t27 @t78)) % 0.51/0.74 (define @t342 () (not @t341)) % 0.51/0.74 (define @t343 () (not @t79)) % 0.51/0.74 (define @t344 () (or @t343 @t342)) % 0.51/0.74 (define @t345 () (forall @t81 @t344)) % 0.51/0.74 (define @t346 () (= @t12 @t72)) % 0.51/0.74 (define @t347 () (forall @t75 (or (not @t73) (not @t346)))) % 0.51/0.74 (define @t348 () (or @t135 @t347 @t345)) % 0.51/0.74 (define @t349 () (or @t347 @t345)) % 0.51/0.74 (define @t350 () (not @t349)) % 0.51/0.74 (define @t351 () (and @t83 @t350)) % 0.51/0.74 (define @t352 () (forall @t85 (not @t351))) % 0.51/0.74 (define @t353 () (not @t352)) % 0.51/0.74 (define @t354 () (or @t347 @t344)) % 0.51/0.74 (define @t355 () (or @t343 @t342 @t347)) % 0.51/0.74 (define @t356 () (not @t347)) % 0.51/0.74 (define @t357 () (not @t356)) % 0.51/0.74 (define @t358 () (or @t343 @t342 @t357)) % 0.51/0.74 (define @t359 () (and @t79 @t341 @t356)) % 0.51/0.74 (define @t360 () (forall @t81 (not @t359))) % 0.51/0.74 (define @t361 () (not @t360)) % 0.51/0.74 (define @t362 () (and @t73 @t346)) % 0.51/0.74 (define @t363 () (forall @t75 (not @t362))) % 0.51/0.74 (define @t364 () (not @t363)) % 0.51/0.74 (define @t365 () (or @t142 @t293)) % 0.51/0.74 (define @t366 () (or @t146 @t230)) % 0.51/0.74 (define @t367 () (or @t147 @t366 @t365)) % 0.51/0.74 (define @t368 () (forall @t148 @t367)) % 0.51/0.74 (define @t369 () (forall (@list @t143 @t140) @t367)) % 0.51/0.74 (define @t370 () (forall (@list @t140) @t365)) % 0.51/0.74 (define @t371 () (forall (@list @t143) @t366)) % 0.51/0.74 (define @t372 () (or @t147 @t371 @t370)) % 0.51/0.74 (define @t373 () (= @t28 @t96)) % 0.51/0.74 (define @t374 () (not @t373)) % 0.51/0.74 (define @t375 () (not @t97)) % 0.51/0.74 (define @t376 () (or @t375 @t374)) % 0.51/0.74 (define @t377 () (forall @t99 @t376)) % 0.51/0.74 (define @t378 () (= @t12 @t90)) % 0.51/0.74 (define @t379 () (forall @t93 (or (not @t91) (not @t378)))) % 0.51/0.74 (define @t380 () (or @t147 @t379 @t377)) % 0.51/0.74 (define @t381 () (or @t379 @t377)) % 0.51/0.74 (define @t382 () (not @t381)) % 0.51/0.74 (define @t383 () (and @t101 @t382)) % 0.51/0.74 (define @t384 () (forall @t103 (not @t383))) % 0.51/0.74 (define @t385 () (not @t384)) % 0.51/0.74 (define @t386 () (or @t379 @t376)) % 0.51/0.74 (define @t387 () (or @t375 @t374 @t379)) % 0.51/0.74 (define @t388 () (not @t379)) % 0.51/0.74 (define @t389 () (not @t388)) % 0.51/0.74 (define @t390 () (or @t375 @t374 @t389)) % 0.51/0.74 (define @t391 () (and @t97 @t373 @t388)) % 0.51/0.74 (define @t392 () (forall @t99 (not @t391))) % 0.51/0.74 (define @t393 () (not @t392)) % 0.51/0.74 (define @t394 () (and @t91 @t378)) % 0.51/0.74 (define @t395 () (forall @t93 (not @t394))) % 0.51/0.74 (define @t396 () (not @t395)) % 0.51/0.74 (define @t397 () (forall @t161 @t158)) % 0.51/0.74 (define @t398 () (@quantifiers_skolemize @t397 2)) % 0.51/0.74 (define @t399 () (not (= @t129 @t398))) % 0.51/0.74 (define @t400 () (@quantifiers_skolemize @t397 0)) % 0.51/0.74 (define @t401 () (not (tptp.ssList @t398))) % 0.51/0.74 (define @t402 () (@quantifiers_skolemize @t397 1)) % 0.51/0.74 (define @t403 () (not (= @t141 @t402))) % 0.51/0.74 (define @t404 () (not (tptp.ssList @t402))) % 0.51/0.74 (define @t405 () (= tptp.nil @t400)) % 0.51/0.74 (define @t406 () (tptp.app (tptp.app @t402 @t400) @t398)) % 0.51/0.74 (define @t407 () (= tptp.nil @t406)) % 0.51/0.74 (define @t408 () (not @t407)) % 0.51/0.74 (define @t409 () (and @t408 @t405)) % 0.51/0.74 (define @t410 () (tptp.neq @t406 tptp.nil)) % 0.51/0.74 (define @t411 () (not @t410)) % 0.51/0.74 (define @t412 () (not (tptp.ssList @t406))) % 0.51/0.74 (define @t413 () (not (tptp.equalelemsP @t400))) % 0.51/0.74 (define @t414 () (tptp.neq @t400 tptp.nil)) % 0.51/0.74 (define @t415 () (tptp.ssList @t400)) % 0.51/0.74 (define @t416 () (not @t415)) % 0.51/0.74 (define @t417 () (or @t416 @t414 @t413 @t412 @t411 @t409 @t404 (not (forall @t148 (or @t147 @t146 (not (= @t144 @t400)) @t142 @t403))) @t401 (not (forall @t136 (or @t135 @t134 (not (= @t132 @t400)) @t130 @t399))))) % 0.51/0.74 (define @t418 () (not @t417)) % 0.51/0.74 (define @t419 () (not @t397)) % 0.51/0.74 (define @t420 () (not (= @t400 @t132))) % 0.51/0.74 (define @t421 () (or @t135 @t134 @t420 @t130 @t399)) % 0.51/0.74 (define @t422 () (forall @t136 @t421)) % 0.51/0.74 (define @t423 () (not @t422)) % 0.51/0.74 (define @t424 () (not (= @t400 @t144))) % 0.51/0.74 (define @t425 () (or @t147 @t146 @t424 @t142 @t403)) % 0.51/0.74 (define @t426 () (forall @t148 @t425)) % 0.51/0.74 (define @t427 () (not @t426)) % 0.51/0.74 (define @t428 () (= @t400 tptp.nil)) % 0.51/0.74 (define @t429 () (and @t408 @t428)) % 0.51/0.74 (define @t430 () (or @t416 @t414 @t413 @t412 @t411 @t429 @t404 @t427 @t401 @t423)) % 0.51/0.74 (define @t431 () (not @t430)) % 0.51/0.74 (define @t432 () (@list true)) % 0.51/0.74 (define @t433 () (@list @t417)) % 0.51/0.74 (define @t434 () (@var "BOUND_VARIABLE_9145" $$unsorted)) % 0.51/0.74 (define @t435 () (= (tptp.neq @t2 @t434) (not (= @t2 @t434)))) % 0.51/0.74 (define @t436 () (not (tptp.ssList @t434))) % 0.51/0.74 (define @t437 () (or @t157 @t436 @t435)) % 0.51/0.74 (define @t438 () (or @t436 @t435)) % 0.51/0.74 (define @t439 () (or @t157 @t438)) % 0.51/0.74 (define @t440 () (@list @t2 @t434)) % 0.51/0.74 (define @t441 () (forall @t440 @t439)) % 0.51/0.74 (define @t442 () (@list @t434)) % 0.51/0.74 (define @t443 () (forall @t442 @t439)) % 0.51/0.74 (define @t444 () (forall @t442 @t438)) % 0.51/0.74 (define @t445 () (or @t157 @t444)) % 0.51/0.74 (define @t446 () (forall @t7 (or @t190 @t5))) % 0.51/0.74 (define @t447 () (not @t428)) % 0.51/0.74 (define @t448 () (= @t414 @t447)) % 0.51/0.74 (define @t449 () (not @t42)) % 0.51/0.74 (define @t450 () (or @t416 @t449 @t448)) % 0.51/0.74 (define @t451 () (forall @t440 @t437)) % 0.51/0.74 (define @t452 () (not @t405)) % 0.51/0.74 (define @t453 () (= @t414 @t452)) % 0.51/0.74 (define @t454 () (or @t416 @t449 @t453)) % 0.51/0.74 (define @t455 () (not @t453)) % 0.51/0.74 (define @t456 () (@list true false)) % 0.51/0.74 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.51/0.74 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.51/0.74 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 0.51/0.74 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.51/0.74 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.51/0.74 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.51/0.74 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.51/0.74 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 0.51/0.74 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 0.51/0.74 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 0.51/0.74 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 0.51/0.74 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 0.51/0.74 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 0.51/0.74 (assume @p14 (forall @t9 (=> @t17 (= @t37 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 0.51/0.74 (assume @p15 @t40) % 0.51/0.74 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t41)))))) % 0.51/0.74 (assume @p17 @t42) % 0.51/0.74 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t41 @t2))))))) % 0.51/0.74 (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) @t43))))))))))) % 0.51/0.74 (assume @p20 (forall @t9 (=> @t17 (or @t45 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t44 @t2))))))))) % 0.51/0.74 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t41))))))) % 0.51/0.74 (assume @p22 (forall @t9 (=> @t17 (=> @t47 (tptp.ssItem @t46))))) % 0.51/0.74 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t41) @t1)))))) % 0.51/0.74 (assume @p24 (forall @t9 (=> @t17 (=> @t47 (tptp.ssList @t48))))) % 0.51/0.74 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t41) @t2)))))) % 0.51/0.74 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t49)))))) % 0.51/0.74 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t50) (tptp.app @t44 @t2))))))))) % 0.51/0.74 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.51/0.74 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t52 @t51) @t3)))))) % 0.51/0.74 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 @t26) (tptp.leq @t2 @t12))))))))) % 0.51/0.74 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.51/0.74 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t51)))))) % 0.51/0.74 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t55 (not @t54))))))) % 0.51/0.74 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t55 @t35) @t56)))))))) % 0.51/0.74 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t57 @t54)))))) % 0.51/0.74 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t58))))))))) % 0.51/0.74 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t58))))))))) % 0.51/0.74 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.51/0.74 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.51/0.74 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.51/0.74 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.51/0.74 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.51/0.74 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.51/0.74 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 0.51/0.74 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.51/0.74 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t45)))) % 0.51/0.74 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.51/0.74 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.51/0.74 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.51/0.74 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t59 @t1))))))))) % 0.51/0.74 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.51/0.74 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t45)))) % 0.51/0.74 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.51/0.74 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.51/0.74 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.51/0.74 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t59 @t10) @t1))))))))))) % 0.51/0.74 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.51/0.74 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t45)))) % 0.51/0.74 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t60)))) % 0.51/0.74 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.51/0.74 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t60)))) % 0.51/0.74 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.51/0.74 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t60)))) % 0.51/0.74 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.51/0.74 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t60)))) % 0.51/0.74 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.51/0.74 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t64) (or @t62 (and @t63 (tptp.totalorderedP @t1) (tptp.leq @t2 @t61))))))))) % 0.51/0.74 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t60)))) % 0.51/0.74 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.51/0.74 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t64) (or @t62 (and @t63 (tptp.strictorderedP @t1) (tptp.lt @t2 @t61))))))))) % 0.51/0.74 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t60)))) % 0.51/0.74 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.51/0.74 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t60)))) % 0.51/0.74 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.51/0.74 (assume @p75 (forall @t9 (=> @t17 (=> @t47 (exists @t7 (and @t6 (= @t46 @t1))))))) % 0.51/0.74 (assume @p76 (forall @t9 (=> @t17 (=> @t47 (exists @t7 (and @t21 (= @t48 @t1))))))) % 0.51/0.74 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t63 @t47 (= @t61 @t46) (= (tptp.tl @t1) @t48)) @t43)))))) % 0.51/0.74 (assume @p78 (forall @t9 (=> @t17 (=> @t47 (= (tptp.cons @t46 @t48) @t2))))) % 0.51/0.74 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t49) @t65)))))))) % 0.51/0.74 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t50) @t65)))))))) % 0.51/0.74 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t41 (tptp.app @t18 @t2))))))) % 0.51/0.74 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t49 @t12) (tptp.app @t2 @t19))))))))) % 0.51/0.74 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t49) (and @t62 @t45))))))) % 0.51/0.74 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.51/0.74 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t47 (= (tptp.hd @t49) @t46))))))) % 0.51/0.74 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t47 (= (tptp.tl @t49) (tptp.app @t48 @t1)))))))) % 0.51/0.74 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t53 (tptp.geq @t1 @t2)) @t3)))))) % 0.51/0.74 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t53 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.51/0.74 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.51/0.74 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.51/0.74 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 @t35) @t56)))))))) % 0.51/0.74 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (or @t3 @t55))))))) % 0.51/0.74 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t55 (and @t4 @t52))))))) % 0.51/0.74 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t57 (not (tptp.gt @t1 @t2)))))))) % 0.51/0.74 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t57 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.51/0.74 (assume @p96 @t126) % 0.51/0.74 (assume @p97 true) % 0.51/0.74 (step @p98 :rule evaluate :args ((= false true))) % 0.51/0.74 (step @p99 :rule aci_norm :args ((= @t160 @t158))) % 0.51/0.74 (step @p100 :rule cong :premises (@p99) :args (@t162)) % 0.51/0.74 (step @p101 :rule quant-merge-prenex :args ((= (forall @t9 @t164) @t162))) % 0.51/0.74 (step @p102 :rule alpha_equiv :args (@t165 (@list @t139 @t127) @t168)) % 0.51/0.74 (step @p103 :rule refl :args (@t156)) % 0.51/0.74 (step @p104 :rule refl :args (@t68)) % 0.51/0.74 (step @p105 :rule refl :args (@t157)) % 0.51/0.74 (step @p106 :rule nary_cong :premises (@p105 @p104 @p103 @p102) :args (@t169)) % 0.51/0.74 (step @p107 :rule quant-miniscope-or :args ((= @t164 @t169))) % 0.51/0.74 (step @p108 :rule trans :premises (@p107 @p106)) % 0.51/0.74 (step @p109 :rule symm :premises (@p108)) % 0.51/0.74 (step @p110 :rule cong :premises (@p109) :args ((forall @t9 @t181))) % 0.51/0.74 (step @p111 :rule trans :premises (@p110 @p101)) % 0.51/0.74 (step @p112 :rule trans :premises (@p111 @p100)) % 0.51/0.74 (step @p113 :rule aci_norm :args ((= (or @t157 @t182) @t181))) % 0.51/0.74 (step @p114 :rule bool-impl-elim :args (@t17 @t182)) % 0.51/0.74 (step @p115 :rule trans :premises (@p114 @p113)) % 0.51/0.74 (step @p116 :rule cong :premises (@p115) :args ((forall @t9 (=> @t17 @t182)))) % 0.51/0.74 (step @p117 :rule trans :premises (@p116 @p112)) % 0.51/0.74 (step @p118 :rule aci_norm :args ((= (or @t177 @t176 @t175 @t173 @t172 @t171 false @t170) @t178))) % 0.51/0.74 (step @p119 :rule refl :args (@t170)) % 0.51/0.74 (step @p120 :rule evaluate :args ((not true))) % 0.51/0.74 (step @p121 :rule eq-refl :args (@t174)) % 0.51/0.74 (step @p122 :rule cong :premises (@p121) :args (@t183)) % 0.51/0.74 (step @p123 :rule trans :premises (@p122 @p120)) % 0.51/0.74 (step @p124 :rule refl :args (@t171)) % 0.51/0.74 (step @p125 :rule refl :args (@t172)) % 0.51/0.74 (step @p126 :rule refl :args (@t173)) % 0.51/0.74 (step @p127 :rule refl :args (@t151)) % 0.51/0.74 (step @p128 :rule eq-symm :args (@t174 tptp.nil)) % 0.51/0.74 (step @p129 :rule cong :premises (@p128) :args (@t184)) % 0.51/0.74 (step @p130 :rule nary_cong :premises (@p129 @p127) :args (@t185)) % 0.51/0.74 (step @p131 :rule refl :args (@t176)) % 0.51/0.74 (step @p132 :rule refl :args (@t177)) % 0.51/0.74 (step @p133 :rule nary_cong :premises (@p132 @p131 @p130 @p126 @p125 @p124 @p123 @p119) :args (@t186)) % 0.51/0.74 (step @p134 :rule trans :premises (@p133 @p118)) % 0.51/0.74 (step @p135 :rule cong :premises (@p134) :args ((forall @t179 @t186))) % 0.51/0.74 (step @p136 :rule quant-var-elim-eq :args ((= (forall @t7 @t191) @t186))) % 0.51/0.74 (step @p137 :rule aci_norm :args ((= @t192 @t191))) % 0.51/0.74 (step @p138 :rule cong :premises (@p137) :args (@t193)) % 0.51/0.74 (step @p139 :rule trans :premises (@p138 @p136)) % 0.51/0.74 (step @p140 :rule cong :premises (@p139) :args (@t194)) % 0.51/0.74 (step @p141 :rule quant-merge-prenex :args ((= @t194 @t195))) % 0.51/0.74 (step @p142 :rule symm :premises (@p141)) % 0.51/0.74 (step @p143 :rule quant_var_reordering :args ((= (forall @t196 @t192) @t195))) % 0.51/0.74 (step @p144 :rule trans :premises (@p143 @p142 @p140)) % 0.51/0.74 (step @p145 :rule trans :premises (@p144 @p135)) % 0.51/0.74 (step @p146 :rule aci_norm :args ((= @t198 @t192))) % 0.51/0.74 (step @p147 :rule cong :premises (@p146) :args (@t199)) % 0.51/0.74 (step @p148 :rule trans :premises (@p147 @p145)) % 0.51/0.74 (step @p149 :rule quant-merge-prenex :args ((= (forall @t7 @t200) @t199))) % 0.51/0.74 (step @p150 :rule alpha_equiv :args (@t201 @t168 @t204)) % 0.51/0.74 (step @p151 :rule refl :args (@t189)) % 0.51/0.74 (step @p152 :rule refl :args (@t114)) % 0.51/0.74 (step @p153 :rule refl :args (@t190)) % 0.51/0.74 (step @p154 :rule nary_cong :premises (@p153 @p152 @p151 @p150) :args (@t205)) % 0.51/0.74 (step @p155 :rule quant-miniscope-or :args ((= @t200 @t205))) % 0.51/0.74 (step @p156 :rule trans :premises (@p155 @p154)) % 0.51/0.74 (step @p157 :rule symm :premises (@p156)) % 0.51/0.74 (step @p158 :rule cong :premises (@p157) :args (@t217)) % 0.51/0.74 (step @p159 :rule trans :premises (@p158 @p149)) % 0.51/0.74 (step @p160 :rule trans :premises (@p159 @p148)) % 0.51/0.74 (step @p161 :rule refl :args (@t156)) % 0.51/0.74 (step @p162 :rule refl :args (@t157)) % 0.51/0.74 (step @p163 :rule refl :args (@t68)) % 0.51/0.74 (step @p164 :rule nary_cong :premises (@p163 @p162 @p161 @p160) :args (@t218)) % 0.51/0.74 (step @p165 :rule quant-miniscope-or :args ((= (forall @t7 @t219) @t218))) % 0.51/0.74 (step @p166 :rule aci_norm :args ((= @t220 @t219))) % 0.51/0.74 (step @p167 :rule cong :premises (@p166) :args ((forall @t7 @t220))) 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0.51/0.74 (step @p475 :rule bool-and-de-morgan :args (@t373 @t388 true)) % 0.51/0.74 (step @p476 :rule nary_cong :premises (@p471 @p475) :args ((or @t375 (not (and @t373 @t388))))) % 0.51/0.74 (step @p477 :rule bool-and-de-morgan :args (@t97 @t373 (and @t388))) % 0.51/0.74 (step @p478 :rule trans :premises (@p477 @p476)) % 0.51/0.74 (step @p479 :rule trans :premises (@p478 @p474)) % 0.51/0.74 (step @p480 :rule cong :premises (@p479) :args (@t392)) % 0.51/0.74 (step @p481 :rule trans :premises (@p480 @p468)) % 0.51/0.74 (step @p482 :rule cong :premises (@p481) :args (@t393)) % 0.51/0.74 (step @p483 :rule exists-elim :args ((= (exists @t99 @t391) @t393))) % 0.51/0.74 (step @p484 :rule trans :premises (@p483 @p482)) % 0.51/0.74 (step @p485 :rule bool-and-de-morgan :args (@t91 @t378 true)) % 0.51/0.74 (step @p486 :rule cong :premises (@p485) :args (@t395)) % 0.51/0.74 (step @p487 :rule cong :premises (@p486) :args (@t396)) % 0.51/0.74 (step @p488 :rule exists-elim :args ((= (exists @t93 @t394) @t396))) % 0.51/0.74 (step @p489 :rule trans :premises (@p488 @p487)) % 0.51/0.74 (step @p490 :rule eq-symm :args (@t90 @t12)) % 0.51/0.74 (step @p491 :rule refl :args (@t91)) % 0.51/0.74 (step @p492 :rule nary_cong :premises (@p491 @p490) :args (@t92)) % 0.51/0.74 (step @p493 :rule cong :premises (@p492) :args (@t94)) % 0.51/0.74 (step @p494 :rule trans :premises (@p493 @p489)) % 0.51/0.74 (step @p495 :rule eq-symm :args (@t96 @t28)) % 0.51/0.74 (step @p496 :rule refl :args (@t97)) % 0.51/0.74 (step @p497 :rule nary_cong :premises (@p496 @p495 @p494) :args (@t98)) % 0.51/0.74 (step @p498 :rule cong :premises (@p497) :args (@t100)) % 0.51/0.74 (step @p499 :rule trans :premises (@p498 @p484)) % 0.51/0.74 (step @p500 :rule refl :args (@t101)) % 0.51/0.74 (step @p501 :rule nary_cong :premises (@p500 @p499) :args (@t102)) % 0.51/0.74 (step @p502 :rule cong :premises (@p501) :args (@t104)) % 0.51/0.74 (step @p503 :rule trans :premises (@p502 @p464)) % 0.51/0.74 (step @p504 :rule 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@p519 :rule cong :premises (@p518) :args (@t119)) % 0.51/0.74 (step @p520 :rule trans :premises (@p519 @p324)) % 0.51/0.74 (step @p521 :rule refl :args (@t15)) % 0.51/0.74 (step @p522 :rule cong :premises (@p521 @p520) :args (@t120)) % 0.51/0.74 (step @p523 :rule cong :premises (@p522) :args (@t121)) % 0.51/0.74 (step @p524 :rule trans :premises (@p523 @p242)) % 0.51/0.74 (step @p525 :rule refl :args (@t21)) % 0.51/0.74 (step @p526 :rule cong :premises (@p525 @p524) :args (@t122)) % 0.51/0.74 (step @p527 :rule cong :premises (@p526) :args (@t123)) % 0.51/0.74 (step @p528 :rule trans :premises (@p527 @p174)) % 0.51/0.74 (step @p529 :rule refl :args (@t17)) % 0.51/0.74 (step @p530 :rule cong :premises (@p529 @p528) :args (@t124)) % 0.51/0.74 (step @p531 :rule cong :premises (@p530) :args (@t125)) % 0.51/0.74 (step @p532 :rule trans :premises (@p531 @p117)) % 0.51/0.74 (step @p533 :rule cong :premises (@p532) :args (@t126)) % 0.51/0.74 (step @p534 :rule eq_resolve :premises (@p96 @p533)) % 0.51/0.74 (step @p535 :rule refl :args (@t418)) % 0.51/0.74 (step @p536 :rule bool-double-not-elim :args (@t397)) % 0.51/0.74 (step @p537 :rule nary_cong :premises (@p536 @p535) :args ((or (not @t419) @t418))) % 0.51/0.74 (step @p538 :rule refl :args (@t399)) % 0.51/0.74 (step @p539 :rule eq-symm :args (@t400 @t132)) % 0.51/0.74 (step @p540 :rule cong :premises (@p539) :args (@t420)) % 0.51/0.74 (step @p541 :rule nary_cong :premises (@p335 @p334 @p540 @p332 @p538) :args (@t421)) % 0.51/0.74 (step @p542 :rule cong :premises (@p541) :args (@t422)) % 0.51/0.74 (step @p543 :rule cong :premises (@p542) :args (@t423)) % 0.51/0.74 (step @p544 :rule refl :args (@t401)) % 0.51/0.74 (step @p545 :rule refl :args (@t403)) % 0.51/0.74 (step @p546 :rule eq-symm :args (@t400 @t144)) % 0.51/0.74 (step @p547 :rule cong :premises (@p546) :args (@t424)) % 0.51/0.74 (step @p548 :rule nary_cong :premises (@p290 @p289 @p547 @p287 @p545) :args (@t425)) % 0.51/0.74 (step @p549 :rule cong :premises (@p548) :args (@t426)) % 0.51/0.74 (step @p550 :rule cong :premises (@p549) :args (@t427)) % 0.51/0.74 (step @p551 :rule refl :args (@t404)) % 0.51/0.74 (step @p552 :rule eq-symm :args (@t400 tptp.nil)) % 0.51/0.74 (step @p553 :rule refl :args (@t408)) % 0.51/0.74 (step @p554 :rule nary_cong :premises (@p553 @p552) :args (@t429)) % 0.51/0.74 (step @p555 :rule refl :args (@t411)) % 0.51/0.74 (step @p556 :rule refl :args (@t412)) % 0.51/0.74 (step @p557 :rule refl :args (@t413)) % 0.51/0.74 (step @p558 :rule refl :args (@t414)) % 0.51/0.74 (step @p559 :rule refl :args (@t416)) % 0.51/0.74 (step @p560 :rule nary_cong :premises (@p559 @p558 @p557 @p556 @p555 @p554 @p551 @p550 @p544 @p543) :args (@t430)) % 0.51/0.74 (step @p561 :rule cong :premises (@p560) :args (@t431)) % 0.51/0.74 (step @p562 :rule refl :args (@t419)) % 0.51/0.74 (step @p563 :rule cong :premises (@p562 @p561) :args ((=> @t419 @t431))) % 0.51/0.74 (assume-push @p649 @t419) % 0.51/0.74 (step @p565 :rule skolemize :premises (@p534)) % 0.51/0.74 (step-pop @p650 :rule scope :premises (@p565)) % 0.51/0.74 (step @p566 :rule process_scope :premises (@p650) :args (@t431)) % 0.51/0.74 (step @p568 :rule eq_resolve :premises (@p566 @p563)) % 0.51/0.74 (step @p569 :rule implies_elim :premises (@p568)) % 0.51/0.74 (step @p570 :rule eq_resolve :premises (@p569 @p537)) % 0.51/0.74 (step @p571 :rule chain_m_resolution :premises (@p570 @p534) :args (@t418 @t432 (@list @t397))) % 0.51/0.74 (step @p572 :rule bool-double-not-elim :args (@t410)) % 0.51/0.74 (step @p573 :rule refl :args (@t417)) % 0.51/0.74 (step @p574 :rule nary_cong :premises (@p573 @p572) :args ((or @t417 (not @t411)))) % 0.51/0.74 (step @p575 :rule cnf_or_neg :args (@t417 4)) % 0.51/0.74 (step @p576 :rule eq_resolve :premises (@p575 @p574)) % 0.51/0.74 (step @p577 :rule reordering :premises (@p576) :args ((or @t410 @t417))) % 0.51/0.74 (step @p578 :rule chain_m_resolution :premises (@p577 @p571) :args (@t410 @t432 @t433)) % 0.51/0.74 (step @p579 :rule true_intro :premises (@p578)) % 0.51/0.74 (step @p580 :rule refl :args (tptp.nil)) % 0.51/0.74 (step @p581 :rule aci_norm :args ((= @t439 @t437))) % 0.51/0.74 (step @p582 :rule cong :premises (@p581) :args (@t441)) % 0.51/0.74 (step @p583 :rule quant-merge-prenex :args ((= (forall @t9 @t443) @t441))) % 0.51/0.74 (step @p584 :rule alpha_equiv :args (@t444 (@list @t434) (@list @t1))) % 0.51/0.74 (step @p585 :rule nary_cong :premises (@p105 @p584) :args (@t445)) % 0.51/0.74 (step @p586 :rule quant-miniscope-or :args ((= @t443 @t445))) % 0.51/0.74 (step @p587 :rule trans :premises (@p586 @p585)) % 0.51/0.74 (step @p588 :rule symm :premises (@p587)) % 0.51/0.74 (step @p589 :rule cong :premises (@p588) :args ((forall @t9 (or @t157 @t446)))) % 0.51/0.74 (step @p590 :rule trans :premises (@p589 @p583)) % 0.51/0.74 (step @p591 :rule trans :premises (@p590 @p582)) % 0.51/0.74 (step @p592 :rule bool-impl-elim :args (@t17 @t446)) % 0.51/0.74 (step @p593 :rule cong :premises (@p592) :args ((forall @t9 (=> @t17 @t446)))) % 0.51/0.74 (step @p594 :rule trans :premises (@p593 @p591)) % 0.51/0.75 (step @p595 :rule bool-impl-elim :args (@t21 @t5)) % 0.51/0.75 (step @p596 :rule cong :premises (@p595) :args (@t38)) % 0.51/0.75 (step @p597 :rule cong :premises (@p529 @p596) :args (@t39)) % 0.51/0.75 (step @p598 :rule cong :premises (@p597) :args (@t40)) % 0.51/0.75 (step @p599 :rule trans :premises (@p598 @p594)) % 0.51/0.75 (step @p600 :rule eq_resolve :premises (@p15 @p599)) % 0.51/0.75 (step @p601 :rule cong :premises (@p552) :args (@t447)) % 0.51/0.75 (step @p602 :rule cong :premises (@p558 @p601) :args (@t448)) % 0.51/0.75 (step @p603 :rule refl :args (@t449)) % 0.51/0.75 (step @p604 :rule nary_cong :premises (@p559 @p603 @p602) :args (@t450)) % 0.51/0.75 (step @p605 :rule refl :args (@t451)) % 0.51/0.75 (step @p606 :rule cong :premises (@p605 @p604) :args ((=> @t451 @t450))) % 0.51/0.75 (assume-push @p651 @t451) % 0.51/0.75 (step @p608 :rule instantiate :premises (@p600) :args ((@list @t400 tptp.nil))) % 0.51/0.75 (step-pop @p652 :rule scope :premises (@p608)) % 0.51/0.75 (step @p609 :rule process_scope :premises (@p652) :args (@t450)) % 0.51/0.75 (step @p611 :rule eq_resolve :premises (@p609 @p606)) % 0.51/0.75 (step @p612 :rule implies_elim :premises (@p611)) % 0.51/0.75 (step @p613 :rule chain_m_resolution :premises (@p612 @p600) :args (@t454 (@list false) (@list @t451))) % 0.51/0.75 (step @p614 :rule bool-double-not-elim :args (@t415)) % 0.51/0.75 (step @p615 :rule nary_cong :premises (@p573 @p614) :args ((or @t417 (not @t416)))) % 0.51/0.75 (step @p616 :rule cnf_or_neg :args (@t417 0)) % 0.51/0.75 (step @p617 :rule eq_resolve :premises (@p616 @p615)) % 0.51/0.75 (step @p618 :rule reordering :premises (@p617) :args ((or @t415 @t417))) % 0.51/0.75 (step @p619 :rule chain_m_resolution :premises (@p618 @p571) :args (@t415 @t432 @t433)) % 0.51/0.75 (step @p620 :rule cnf_or_pos :args (@t454)) % 0.51/0.75 (step @p621 :rule reordering :premises (@p620) :args ((or @t449 @t416 @t453 (not @t454)))) % 0.51/0.75 (step @p622 :rule chain_m_resolution :premises (@p621 @p17 @p619 @p613) :args (@t453 (@list false false false) (@list @t42 @t415 @t454))) % 0.51/0.75 (step @p623 :rule cnf_or_neg :args (@t417 1)) % 0.51/0.75 (step @p624 :rule chain_m_resolution :premises (@p623 @p571) :args ((not @t414) @t432 @t433)) % 0.51/0.75 (step @p625 :rule bool-double-not-elim :args (@t405)) % 0.51/0.75 (step @p626 :rule refl :args (@t455)) % 0.51/0.75 (step @p627 :rule nary_cong :premises (@p626 @p558 @p625) :args ((or @t455 @t414 (not @t452)))) % 0.51/0.75 (step @p628 :rule cnf_equiv_pos2 :args (@t453)) % 0.51/0.75 (step @p629 :rule eq_resolve :premises (@p628 @p627)) % 0.51/0.75 (step @p630 :rule reordering :premises (@p629) :args ((or @t414 @t405 @t455))) % 0.51/0.75 (step @p631 :rule chain_m_resolution :premises (@p630 @p624 @p622) :args (@t405 @t456 (@list @t414 @t453))) % 0.51/0.75 (step @p632 :rule cnf_or_neg :args (@t417 5)) % 0.51/0.75 (step @p633 :rule chain_m_resolution :premises (@p632 @p571) :args ((not @t409) @t432 @t433)) % 0.51/0.75 (step @p634 :rule refl :args (@t452)) % 0.51/0.75 (step @p635 :rule bool-double-not-elim :args (@t407)) % 0.51/0.75 (step @p636 :rule refl :args (@t409)) % 0.51/0.75 (step @p637 :rule nary_cong :premises (@p636 @p635 @p634) :args ((or @t409 (not @t408) @t452))) % 0.51/0.75 (step @p638 :rule cnf_and_neg :args (@t409)) % 0.51/0.75 (step @p639 :rule eq_resolve :premises (@p638 @p637)) % 0.51/0.75 (step @p640 :rule reordering :premises (@p639) :args ((or @t407 @t409 @t452))) % 0.51/0.75 (step @p641 :rule chain_m_resolution :premises (@p640 @p633 @p631) :args (@t407 @t456 (@list @t409 @t405))) % 0.51/0.75 (step @p642 :rule symm :premises (@p631)) % 0.51/0.75 (step @p643 :rule trans :premises (@p642 @p641)) % 0.51/0.75 (step @p644 :rule cong :premises (@p643 @p580) :args (@t414)) % 0.51/0.75 (step @p645 :rule false_intro :premises (@p624)) % 0.51/0.75 (step @p646 :rule symm :premises (@p645)) % 0.51/0.75 (step @p647 :rule trans :premises (@p646 @p644 @p579)) % 0.51/0.75 (step @p648 false :rule eq_resolve :premises (@p647 @p98)) % 0.51/0.75 ) % 0.51/0.75 % SZS output end Proof % 0.51/0.75 % cvc5 exiting %------------------------------------------------------------------------------