%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC024+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 : n018.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 08:57:44 AM UTC 2026 % Result : Theorem 1.13s 1.31s % Output : Proof 1.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC024+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 % 0.16/0.34 % Computer : n018.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:10:05 EDT 2026 % 0.16/0.34 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 1.13/1.31 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.13/1.31 % SZS status Theorem % 1.13/1.31 % SZS output start Proof % 1.13/1.31 ( % 1.13/1.31 (declare-sort $$unsorted 0) % 1.13/1.31 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.nil $$unsorted) % 1.13/1.31 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.ssList (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 1.13/1.31 (define @t1 () (@var "V" $$unsorted)) % 1.13/1.31 (define @t2 () (@var "U" $$unsorted)) % 1.13/1.31 (define @t3 () (= @t2 @t1)) % 1.13/1.31 (define @t4 () (not @t3)) % 1.13/1.31 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 1.13/1.31 (define @t6 () (tptp.ssItem @t1)) % 1.13/1.31 (define @t7 () (@list @t1)) % 1.13/1.31 (define @t8 () (tptp.ssItem @t2)) % 1.13/1.31 (define @t9 () (@list @t2)) % 1.13/1.31 (define @t10 () (@var "X" $$unsorted)) % 1.13/1.31 (define @t11 () (tptp.cons @t1 @t10)) % 1.13/1.31 (define @t12 () (@var "W" $$unsorted)) % 1.13/1.31 (define @t13 () (tptp.ssList @t10)) % 1.13/1.31 (define @t14 () (@list @t10)) % 1.13/1.31 (define @t15 () (tptp.ssList @t12)) % 1.13/1.31 (define @t16 () (@list @t12)) % 1.13/1.31 (define @t17 () (tptp.ssList @t2)) % 1.13/1.31 (define @t18 () (tptp.cons @t1 tptp.nil)) % 1.13/1.31 (define @t19 () (tptp.app @t1 @t12)) % 1.13/1.31 (define @t20 () (tptp.frontsegP @t2 @t1)) % 1.13/1.31 (define @t21 () (tptp.ssList @t1)) % 1.13/1.31 (define @t22 () (tptp.app @t12 @t1)) % 1.13/1.31 (define @t23 () (tptp.rearsegP @t2 @t1)) % 1.13/1.31 (define @t24 () (tptp.segmentP @t2 @t1)) % 1.13/1.31 (define @t25 () (tptp.leq @t12 @t1)) % 1.13/1.31 (define @t26 () (tptp.leq @t1 @t12)) % 1.13/1.31 (define @t27 () (@var "Z" $$unsorted)) % 1.13/1.31 (define @t28 () (@var "Y" $$unsorted)) % 1.13/1.31 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 1.13/1.31 (define @t30 () (tptp.ssList @t27)) % 1.13/1.31 (define @t31 () (@list @t27)) % 1.13/1.31 (define @t32 () (tptp.ssList @t28)) % 1.13/1.31 (define @t33 () (@list @t28)) % 1.13/1.31 (define @t34 () (tptp.ssItem @t12)) % 1.13/1.31 (define @t35 () (tptp.lt @t1 @t12)) % 1.13/1.31 (define @t36 () (= @t1 @t12)) % 1.13/1.31 (define @t37 () (tptp.equalelemsP @t2)) % 1.13/1.31 (define @t38 () (forall @t7 (=> @t21 @t5))) % 1.13/1.31 (define @t39 () (=> @t17 @t38)) % 1.13/1.31 (define @t40 () (forall @t9 @t39)) % 1.13/1.31 (define @t41 () (tptp.cons @t1 @t2)) % 1.13/1.31 (define @t42 () (tptp.ssList tptp.nil)) % 1.13/1.31 (define @t43 () (= @t1 @t2)) % 1.13/1.31 (define @t44 () (tptp.cons @t12 @t1)) % 1.13/1.31 (define @t45 () (= tptp.nil @t2)) % 1.13/1.31 (define @t46 () (tptp.hd @t2)) % 1.13/1.31 (define @t47 () (not @t45)) % 1.13/1.31 (define @t48 () (tptp.tl @t2)) % 1.13/1.31 (define @t49 () (tptp.app @t2 @t1)) % 1.13/1.31 (define @t50 () (tptp.app @t1 @t2)) % 1.13/1.31 (define @t51 () (tptp.leq @t1 @t2)) % 1.13/1.31 (define @t52 () (tptp.leq @t2 @t1)) % 1.13/1.31 (define @t53 () (tptp.geq @t2 @t1)) % 1.13/1.31 (define @t54 () (tptp.lt @t1 @t2)) % 1.13/1.31 (define @t55 () (tptp.lt @t2 @t1)) % 1.13/1.31 (define @t56 () (tptp.lt @t2 @t12)) % 1.13/1.31 (define @t57 () (tptp.gt @t2 @t1)) % 1.13/1.31 (define @t58 () (tptp.memberP @t12 @t2)) % 1.13/1.31 (define @t59 () (tptp.frontsegP @t2 @t2)) % 1.13/1.31 (define @t60 () (forall @t9 (=> @t17 @t59))) % 1.13/1.31 (define @t61 () (tptp.frontsegP (tptp.app @t2 @t12) @t1)) % 1.13/1.31 (define @t62 () (=> @t20 @t61)) % 1.13/1.31 (define @t63 () (forall @t16 (=> @t15 @t62))) % 1.13/1.31 (define @t64 () (=> @t21 @t63)) % 1.13/1.31 (define @t65 () (forall @t7 @t64)) % 1.13/1.31 (define @t66 () (=> @t17 @t65)) % 1.13/1.31 (define @t67 () (forall @t9 @t66)) % 1.13/1.31 (define @t68 () (tptp.frontsegP tptp.nil @t2)) % 1.13/1.31 (define @t69 () (=> @t17 (= @t68 @t45))) % 1.13/1.31 (define @t70 () (forall @t9 @t69)) % 1.13/1.31 (define @t71 () (tptp.app @t12 @t2)) % 1.13/1.31 (define @t72 () (tptp.cons @t2 tptp.nil)) % 1.13/1.31 (define @t73 () (tptp.hd @t1)) % 1.13/1.31 (define @t74 () (= tptp.nil @t1)) % 1.13/1.31 (define @t75 () (not @t74)) % 1.13/1.31 (define @t76 () (tptp.cons @t2 @t1)) % 1.13/1.31 (define @t77 () (= @t12 @t2)) % 1.13/1.31 (define @t78 () (not (= tptp.nil @t10))) % 1.13/1.31 (define @t79 () (and @t78 (= tptp.nil @t12))) % 1.13/1.31 (define @t80 () (@var "X1" $$unsorted)) % 1.13/1.31 (define @t81 () (tptp.cons @t80 tptp.nil)) % 1.13/1.31 (define @t82 () (@var "X3" $$unsorted)) % 1.13/1.31 (define @t83 () (tptp.app @t82 @t81)) % 1.13/1.31 (define @t84 () (tptp.ssList @t82)) % 1.13/1.31 (define @t85 () (and @t84 (= @t83 @t12))) % 1.13/1.31 (define @t86 () (@list @t82)) % 1.13/1.31 (define @t87 () (exists @t86 @t85)) % 1.13/1.31 (define @t88 () (@var "X2" $$unsorted)) % 1.13/1.31 (define @t89 () (tptp.app @t81 @t88)) % 1.13/1.31 (define @t90 () (tptp.ssList @t88)) % 1.13/1.31 (define @t91 () (and @t90 (= @t89 @t27) @t87)) % 1.13/1.31 (define @t92 () (@list @t88)) % 1.13/1.31 (define @t93 () (exists @t92 @t91)) % 1.13/1.31 (define @t94 () (tptp.ssItem @t80)) % 1.13/1.31 (define @t95 () (and @t94 @t93)) % 1.13/1.31 (define @t96 () (@list @t80)) % 1.13/1.31 (define @t97 () (exists @t96 @t95)) % 1.13/1.31 (define @t98 () (not (tptp.equalelemsP @t12))) % 1.13/1.31 (define @t99 () (tptp.app @t12 @t27)) % 1.13/1.31 (define @t100 () (not (= @t99 @t10))) % 1.13/1.31 (define @t101 () (or @t100 @t98 @t97)) % 1.13/1.31 (define @t102 () (=> @t30 @t101)) % 1.13/1.31 (define @t103 () (forall @t31 @t102)) % 1.13/1.31 (define @t104 () (tptp.frontsegP @t2 @t28)) % 1.13/1.31 (define @t105 () (tptp.frontsegP @t1 @t28)) % 1.13/1.31 (define @t106 () (tptp.neq @t28 tptp.nil)) % 1.13/1.31 (define @t107 () (and @t32 @t106 @t105 @t104)) % 1.13/1.31 (define @t108 () (exists @t33 @t107)) % 1.13/1.31 (define @t109 () (not (tptp.neq @t1 tptp.nil))) % 1.13/1.31 (define @t110 () (not (= @t2 @t12))) % 1.13/1.31 (define @t111 () (not (= @t1 @t10))) % 1.13/1.31 (define @t112 () (or @t111 @t110 @t109 @t108 @t103 @t79)) % 1.13/1.31 (define @t113 () (=> @t13 @t112)) % 1.13/1.31 (define @t114 () (forall @t14 @t113)) % 1.13/1.31 (define @t115 () (=> @t15 @t114)) % 1.13/1.31 (define @t116 () (forall @t16 @t115)) % 1.13/1.31 (define @t117 () (=> @t21 @t116)) % 1.13/1.31 (define @t118 () (forall @t7 @t117)) % 1.13/1.31 (define @t119 () (=> @t17 @t118)) % 1.13/1.31 (define @t120 () (forall @t9 @t119)) % 1.13/1.31 (define @t121 () (not @t120)) % 1.13/1.31 (define @t122 () (@var "BOUND_VARIABLE_11174" $$unsorted)) % 1.13/1.31 (define @t123 () (@var "BOUND_VARIABLE_11001" $$unsorted)) % 1.13/1.31 (define @t124 () (tptp.app @t81 @t123)) % 1.13/1.31 (define @t125 () (not (tptp.ssList @t123))) % 1.13/1.31 (define @t126 () (@var "BOUND_VARIABLE_10993" $$unsorted)) % 1.13/1.31 (define @t127 () (tptp.app @t126 @t81)) % 1.13/1.31 (define @t128 () (not (= @t2 @t127))) % 1.13/1.31 (define @t129 () (not (tptp.ssList @t126))) % 1.13/1.31 (define @t130 () (not @t94)) % 1.13/1.31 (define @t131 () (@list @t80 @t126 @t123)) % 1.13/1.31 (define @t132 () (not (forall @t131 (or @t130 @t129 @t128 @t125 (not (= @t124 @t122)))))) % 1.13/1.31 (define @t133 () (not (tptp.ssList @t122))) % 1.13/1.31 (define @t134 () (= @t2 tptp.nil)) % 1.13/1.31 (define @t135 () (tptp.app @t2 @t122)) % 1.13/1.31 (define @t136 () (and (not (= tptp.nil @t135)) @t134)) % 1.13/1.31 (define @t137 () (not @t104)) % 1.13/1.31 (define @t138 () (not @t106)) % 1.13/1.31 (define @t139 () (not @t32)) % 1.13/1.31 (define @t140 () (not (forall @t33 (or @t139 @t138 (not (tptp.frontsegP @t135 @t28)) @t137)))) % 1.13/1.31 (define @t141 () (not (tptp.neq @t135 tptp.nil))) % 1.13/1.31 (define @t142 () (not (tptp.ssList @t135))) % 1.13/1.31 (define @t143 () (not @t37)) % 1.13/1.31 (define @t144 () (not @t17)) % 1.13/1.31 (define @t145 () (or @t144 @t143 @t142 @t141 @t140 @t136 @t133 @t132)) % 1.13/1.31 (define @t146 () (or @t142 @t141 @t140 @t136 @t133 @t132)) % 1.13/1.31 (define @t147 () (or @t144 @t143 @t146)) % 1.13/1.31 (define @t148 () (@list @t2 @t122)) % 1.13/1.31 (define @t149 () (forall @t148 @t147)) % 1.13/1.31 (define @t150 () (@list @t122)) % 1.13/1.31 (define @t151 () (forall @t150 @t147)) % 1.13/1.31 (define @t152 () (forall @t150 @t146)) % 1.13/1.31 (define @t153 () (@var "BOUND_VARIABLE_11129" $$unsorted)) % 1.13/1.31 (define @t154 () (@list @t153)) % 1.13/1.31 (define @t155 () (or @t144 @t143 @t152)) % 1.13/1.31 (define @t156 () (not (forall @t131 (or @t130 @t129 @t128 @t125 (not (= @t124 @t153)))))) % 1.13/1.31 (define @t157 () (not (tptp.ssList @t153))) % 1.13/1.31 (define @t158 () (tptp.app @t2 @t153)) % 1.13/1.31 (define @t159 () (and (not (= tptp.nil @t158)) @t134)) % 1.13/1.31 (define @t160 () (not (forall @t33 (or @t139 @t138 (not (tptp.frontsegP @t158 @t28)) @t137)))) % 1.13/1.31 (define @t161 () (not (tptp.neq @t158 tptp.nil))) % 1.13/1.31 (define @t162 () (not (tptp.ssList @t158))) % 1.13/1.31 (define @t163 () (or @t162 @t161 @t160 @t159 @t157 @t156)) % 1.13/1.31 (define @t164 () (@list @t153)) % 1.13/1.31 (define @t165 () (or @t144 @t143 (forall @t164 @t163))) % 1.13/1.31 (define @t166 () (not (= @t158 @t158))) % 1.13/1.31 (define @t167 () (not (= @t158 tptp.nil))) % 1.13/1.31 (define @t168 () (and @t167 @t134)) % 1.13/1.31 (define @t169 () (or @t162 @t161 @t160 @t168 @t157 @t166 @t156)) % 1.13/1.31 (define @t170 () (not (= @t1 @t158))) % 1.13/1.31 (define @t171 () (not (= @t1 tptp.nil))) % 1.13/1.31 (define @t172 () (and @t171 @t134)) % 1.13/1.31 (define @t173 () (not @t105)) % 1.13/1.31 (define @t174 () (or @t139 @t138 @t173 @t137)) % 1.13/1.31 (define @t175 () (not (forall @t33 @t174))) % 1.13/1.31 (define @t176 () (not @t21)) % 1.13/1.31 (define @t177 () (or @t170 @t176 @t109 @t175 @t172 @t157 @t170 @t156)) % 1.13/1.31 (define @t178 () (or @t176 @t109 @t175 @t172 @t157 @t170 @t156)) % 1.13/1.31 (define @t179 () (forall @t7 @t178)) % 1.13/1.31 (define @t180 () (forall @t164 @t179)) % 1.13/1.31 (define @t181 () (forall (@list @t153 @t1) @t178)) % 1.13/1.31 (define @t182 () (@list @t1 @t153)) % 1.13/1.31 (define @t183 () (or @t157 @t170 @t156)) % 1.13/1.31 (define @t184 () (or @t176 @t109 @t175 @t172 @t183)) % 1.13/1.31 (define @t185 () (forall @t182 @t184)) % 1.13/1.31 (define @t186 () (forall @t164 @t184)) % 1.13/1.31 (define @t187 () (forall @t164 @t183)) % 1.13/1.31 (define @t188 () (@var "BOUND_VARIABLE_11081" $$unsorted)) % 1.13/1.31 (define @t189 () (@list @t188)) % 1.13/1.31 (define @t190 () (or @t176 @t109 @t175 @t172 @t187)) % 1.13/1.31 (define @t191 () (not (= @t124 @t188))) % 1.13/1.31 (define @t192 () (not (forall @t131 (or @t130 @t129 @t128 @t125 @t191)))) % 1.13/1.31 (define @t193 () (not (= @t1 (tptp.app @t2 @t188)))) % 1.13/1.31 (define @t194 () (not (tptp.ssList @t188))) % 1.13/1.31 (define @t195 () (or @t194 @t193 @t192)) % 1.13/1.31 (define @t196 () (@list @t188)) % 1.13/1.31 (define @t197 () (forall @t196 @t195)) % 1.13/1.31 (define @t198 () (or @t176 @t109 @t175 @t172 @t197)) % 1.13/1.31 (define @t199 () (forall @t7 @t198)) % 1.13/1.31 (define @t200 () (or @t144 @t143 @t199)) % 1.13/1.31 (define @t201 () (or @t144 @t143 @t198)) % 1.13/1.31 (define @t202 () (or @t176 @t109 @t175 @t144 @t143 @t172 @t197)) % 1.13/1.31 (define @t203 () (or @t109 @t175 @t176 @t144 @t143 @t172 @t197)) % 1.13/1.31 (define @t204 () (or @t144 @t143 @t172 @t197)) % 1.13/1.31 (define @t205 () (or @t144 @t143 @t172 @t195)) % 1.13/1.31 (define @t206 () (or @t144 @t143 @t172 @t194 @t193 @t192)) % 1.13/1.31 (define @t207 () (not (= @t2 @t2))) % 1.13/1.31 (define @t208 () (or @t144 @t207 @t143 @t172 @t194 @t193 @t192)) % 1.13/1.31 (define @t209 () (not (= @t12 @t127))) % 1.13/1.31 (define @t210 () (not (forall @t131 (or @t130 @t129 @t209 @t125 @t191)))) % 1.13/1.31 (define @t211 () (not (= @t1 (tptp.app @t12 @t188)))) % 1.13/1.31 (define @t212 () (= @t12 tptp.nil)) % 1.13/1.31 (define @t213 () (and @t171 @t212)) % 1.13/1.31 (define @t214 () (not @t15)) % 1.13/1.31 (define @t215 () (or @t110 @t214 @t110 @t98 @t213 @t194 @t211 @t210)) % 1.13/1.31 (define @t216 () (or @t214 @t110 @t98 @t213 @t194 @t211 @t210)) % 1.13/1.31 (define @t217 () (forall @t16 @t216)) % 1.13/1.31 (define @t218 () (forall @t196 @t217)) % 1.13/1.31 (define @t219 () (forall (@list @t188 @t12) @t216)) % 1.13/1.31 (define @t220 () (@list @t12 @t188)) % 1.13/1.31 (define @t221 () (or @t194 @t211 @t210)) % 1.13/1.31 (define @t222 () (or @t214 @t110 @t98 @t213 @t221)) % 1.13/1.31 (define @t223 () (forall @t220 @t222)) % 1.13/1.31 (define @t224 () (forall @t196 @t222)) % 1.13/1.31 (define @t225 () (forall @t196 @t221)) % 1.13/1.31 (define @t226 () (@var "BOUND_VARIABLE_11036" $$unsorted)) % 1.13/1.31 (define @t227 () (@list @t226)) % 1.13/1.31 (define @t228 () (or @t214 @t110 @t98 @t213 @t225)) % 1.13/1.31 (define @t229 () (not (forall @t131 (or @t130 @t129 @t209 @t125 (not (= @t124 @t226)))))) % 1.13/1.31 (define @t230 () (tptp.app @t12 @t226)) % 1.13/1.31 (define @t231 () (not (= @t1 @t230))) % 1.13/1.31 (define @t232 () (not (tptp.ssList @t226))) % 1.13/1.31 (define @t233 () (or @t232 @t231 @t229)) % 1.13/1.31 (define @t234 () (@list @t226)) % 1.13/1.31 (define @t235 () (forall @t234 @t233)) % 1.13/1.31 (define @t236 () (or @t214 @t110 @t98 @t213 @t235)) % 1.13/1.31 (define @t237 () (forall @t16 @t236)) % 1.13/1.31 (define @t238 () (or @t109 @t175 @t176 @t237)) % 1.13/1.31 (define @t239 () (or @t109 @t175 @t176 @t236)) % 1.13/1.31 (define @t240 () (or @t214 @t110 @t109 @t175 @t98 @t176 @t213 @t235)) % 1.13/1.31 (define @t241 () (or @t110 @t109 @t175 @t98 @t176 @t213 @t235)) % 1.13/1.31 (define @t242 () (or @t176 @t213 @t235)) % 1.13/1.31 (define @t243 () (or @t176 @t213 @t233)) % 1.13/1.31 (define @t244 () (or @t176 @t213 @t232 @t231 @t229)) % 1.13/1.31 (define @t245 () (not (= @t1 @t1))) % 1.13/1.31 (define @t246 () (or @t176 @t245 @t213 @t232 @t231 @t229)) % 1.13/1.31 (define @t247 () (not (= @t10 @t230))) % 1.13/1.31 (define @t248 () (and (not (= @t10 tptp.nil)) @t212)) % 1.13/1.31 (define @t249 () (not @t13)) % 1.13/1.31 (define @t250 () (or @t111 @t249 @t111 @t248 @t232 @t247 @t229)) % 1.13/1.31 (define @t251 () (or @t249 @t111 @t248 @t232 @t247 @t229)) % 1.13/1.31 (define @t252 () (forall @t14 @t251)) % 1.13/1.31 (define @t253 () (forall @t234 @t252)) % 1.13/1.31 (define @t254 () (forall (@list @t226 @t10) @t251)) % 1.13/1.31 (define @t255 () (@list @t10 @t226)) % 1.13/1.31 (define @t256 () (not (= @t226 @t124))) % 1.13/1.31 (define @t257 () (or @t130 @t129 @t209 @t125 @t256)) % 1.13/1.31 (define @t258 () (forall @t131 @t257)) % 1.13/1.31 (define @t259 () (not @t258)) % 1.13/1.31 (define @t260 () (or @t249 @t111 @t248 @t232 @t247 @t259)) % 1.13/1.31 (define @t261 () (or @t232 @t247 @t259)) % 1.13/1.31 (define @t262 () (or @t249 @t111 @t248 @t261)) % 1.13/1.31 (define @t263 () (forall @t255 @t262)) % 1.13/1.31 (define @t264 () (forall @t234 @t262)) % 1.13/1.31 (define @t265 () (forall @t234 @t261)) % 1.13/1.31 (define @t266 () (or @t249 @t111 @t248 @t265)) % 1.13/1.31 (define @t267 () (not (= @t27 @t124))) % 1.13/1.31 (define @t268 () (or @t130 @t129 @t209 @t125 @t267)) % 1.13/1.31 (define @t269 () (not (forall @t131 @t268))) % 1.13/1.31 (define @t270 () (not (= @t10 @t99))) % 1.13/1.31 (define @t271 () (not @t30)) % 1.13/1.31 (define @t272 () (or @t271 @t270 @t269)) % 1.13/1.31 (define @t273 () (forall @t31 @t272)) % 1.13/1.31 (define @t274 () (or @t249 @t111 @t248 @t273)) % 1.13/1.31 (define @t275 () (forall @t14 @t274)) % 1.13/1.31 (define @t276 () (or @t110 @t109 @t175 @t98 @t275)) % 1.13/1.31 (define @t277 () (or @t110 @t109 @t175 @t98 @t274)) % 1.13/1.31 (define @t278 () (or @t249 @t111 @t110 @t109 @t175 @t248 @t98 @t273)) % 1.13/1.31 (define @t279 () (or @t111 @t110 @t109 @t175 @t248 @t98 @t273)) % 1.13/1.31 (define @t280 () (or @t98 @t273)) % 1.13/1.31 (define @t281 () (or @t98 @t272)) % 1.13/1.31 (define @t282 () (or @t271 @t270 @t98 @t269)) % 1.13/1.31 (define @t283 () (or @t270 @t98 @t269)) % 1.13/1.31 (define @t284 () (or @t125 @t267)) % 1.13/1.31 (define @t285 () (or @t129 @t209)) % 1.13/1.31 (define @t286 () (or @t130 @t285 @t284)) % 1.13/1.31 (define @t287 () (forall @t131 @t286)) % 1.13/1.31 (define @t288 () (forall (@list @t126 @t123) @t286)) % 1.13/1.31 (define @t289 () (forall (@list @t123) @t284)) % 1.13/1.31 (define @t290 () (forall (@list @t126) @t285)) % 1.13/1.31 (define @t291 () (or @t130 @t290 @t289)) % 1.13/1.31 (define @t292 () (= @t27 @t89)) % 1.13/1.31 (define @t293 () (not @t292)) % 1.13/1.31 (define @t294 () (not @t90)) % 1.13/1.31 (define @t295 () (or @t294 @t293)) % 1.13/1.31 (define @t296 () (forall @t92 @t295)) % 1.13/1.31 (define @t297 () (= @t12 @t83)) % 1.13/1.31 (define @t298 () (forall @t86 (or (not @t84) (not @t297)))) % 1.13/1.31 (define @t299 () (or @t130 @t298 @t296)) % 1.13/1.31 (define @t300 () (or @t298 @t296)) % 1.13/1.31 (define @t301 () (not @t300)) % 1.13/1.31 (define @t302 () (and @t94 @t301)) % 1.13/1.31 (define @t303 () (forall @t96 (not @t302))) % 1.13/1.31 (define @t304 () (not @t303)) % 1.13/1.31 (define @t305 () (or @t298 @t295)) % 1.13/1.31 (define @t306 () (or @t294 @t293 @t298)) % 1.13/1.31 (define @t307 () (not @t298)) % 1.13/1.31 (define @t308 () (not @t307)) % 1.13/1.31 (define @t309 () (or @t294 @t293 @t308)) % 1.13/1.31 (define @t310 () (and @t90 @t292 @t307)) % 1.13/1.31 (define @t311 () (forall @t92 (not @t310))) % 1.13/1.31 (define @t312 () (not @t311)) % 1.13/1.31 (define @t313 () (and @t84 @t297)) % 1.13/1.31 (define @t314 () (forall @t86 (not @t313))) % 1.13/1.31 (define @t315 () (not @t314)) % 1.13/1.31 (define @t316 () (forall @t33 (not @t107))) % 1.13/1.31 (define @t317 () (not @t316)) % 1.13/1.31 (define @t318 () (forall @t148 @t145)) % 1.13/1.31 (define @t319 () (@quantifiers_skolemize @t318 1)) % 1.13/1.31 (define @t320 () (not (= @t124 @t319))) % 1.13/1.31 (define @t321 () (@quantifiers_skolemize @t318 0)) % 1.13/1.31 (define @t322 () (tptp.ssList @t319)) % 1.13/1.31 (define @t323 () (not @t322)) % 1.13/1.31 (define @t324 () (= tptp.nil @t321)) % 1.13/1.31 (define @t325 () (tptp.app @t321 @t319)) % 1.13/1.31 (define @t326 () (= tptp.nil @t325)) % 1.13/1.31 (define @t327 () (not @t326)) % 1.13/1.31 (define @t328 () (and @t327 @t324)) % 1.13/1.31 (define @t329 () (forall @t33 (or @t139 @t138 (not (tptp.frontsegP @t325 @t28)) (not (tptp.frontsegP @t321 @t28))))) % 1.13/1.31 (define @t330 () (not @t329)) % 1.13/1.31 (define @t331 () (tptp.neq @t325 tptp.nil)) % 1.13/1.31 (define @t332 () (not @t331)) % 1.13/1.31 (define @t333 () (tptp.ssList @t325)) % 1.13/1.31 (define @t334 () (not @t333)) % 1.13/1.31 (define @t335 () (not (tptp.equalelemsP @t321))) % 1.13/1.31 (define @t336 () (tptp.ssList @t321)) % 1.13/1.31 (define @t337 () (not @t336)) % 1.13/1.31 (define @t338 () (or @t337 @t335 @t334 @t332 @t330 @t328 @t323 (not (forall @t131 (or @t130 @t129 (not (= @t127 @t321)) @t125 @t320))))) % 1.13/1.31 (define @t339 () (not @t338)) % 1.13/1.31 (define @t340 () (not @t318)) % 1.13/1.31 (define @t341 () (not (= @t321 @t127))) % 1.13/1.31 (define @t342 () (or @t130 @t129 @t341 @t125 @t320)) % 1.13/1.31 (define @t343 () (forall @t131 @t342)) % 1.13/1.31 (define @t344 () (not @t343)) % 1.13/1.31 (define @t345 () (= @t321 tptp.nil)) % 1.13/1.31 (define @t346 () (and @t327 @t345)) % 1.13/1.31 (define @t347 () (or @t337 @t335 @t334 @t332 @t330 @t346 @t323 @t344)) % 1.13/1.31 (define @t348 () (not @t347)) % 1.13/1.31 (define @t349 () (@list true)) % 1.13/1.31 (define @t350 () (@list @t338)) % 1.13/1.31 (define @t351 () (@list @t325)) % 1.13/1.31 (define @t352 () (tptp.frontsegP @t325 @t325)) % 1.13/1.31 (define @t353 () (or @t334 @t352)) % 1.13/1.31 (define @t354 () (@list false false)) % 1.13/1.31 (define @t355 () (tptp.frontsegP @t321 @t325)) % 1.13/1.31 (define @t356 () (not @t355)) % 1.13/1.31 (define @t357 () (not @t352)) % 1.13/1.31 (define @t358 () (or @t334 @t332 @t357 @t356)) % 1.13/1.31 (define @t359 () (@list false false false false)) % 1.13/1.31 (define @t360 () (@var "BOUND_VARIABLE_9126" $$unsorted)) % 1.13/1.31 (define @t361 () (= (tptp.neq @t2 @t360) (not (= @t2 @t360)))) % 1.13/1.31 (define @t362 () (not (tptp.ssList @t360))) % 1.13/1.31 (define @t363 () (or @t144 @t362 @t361)) % 1.13/1.31 (define @t364 () (or @t362 @t361)) % 1.13/1.31 (define @t365 () (or @t144 @t364)) % 1.13/1.31 (define @t366 () (@list @t2 @t360)) % 1.13/1.31 (define @t367 () (forall @t366 @t365)) % 1.13/1.31 (define @t368 () (@list @t360)) % 1.13/1.31 (define @t369 () (forall @t368 @t365)) % 1.13/1.31 (define @t370 () (forall @t368 @t364)) % 1.13/1.31 (define @t371 () (or @t144 @t370)) % 1.13/1.31 (define @t372 () (forall @t7 (or @t176 @t5))) % 1.13/1.31 (define @t373 () (tptp.neq @t321 tptp.nil)) % 1.13/1.31 (define @t374 () (not @t324)) % 1.13/1.31 (define @t375 () (not @t345)) % 1.13/1.31 (define @t376 () (= @t373 @t375)) % 1.13/1.31 (define @t377 () (not @t42)) % 1.13/1.31 (define @t378 () (or @t337 @t377 @t376)) % 1.13/1.31 (define @t379 () (forall @t366 @t363)) % 1.13/1.31 (define @t380 () (= @t374 @t373)) % 1.13/1.31 (define @t381 () (or @t337 @t377 @t380)) % 1.13/1.31 (define @t382 () (@list false)) % 1.13/1.31 (define @t383 () (@list @t321)) % 1.13/1.31 (define @t384 () (@var "BOUND_VARIABLE_9853" $$unsorted)) % 1.13/1.31 (define @t385 () (@var "BOUND_VARIABLE_9855" $$unsorted)) % 1.13/1.31 (define @t386 () (tptp.frontsegP (tptp.app @t2 @t385) @t384)) % 1.13/1.31 (define @t387 () (not (tptp.ssList @t385))) % 1.13/1.31 (define @t388 () (not (tptp.frontsegP @t2 @t384))) % 1.13/1.31 (define @t389 () (not (tptp.ssList @t384))) % 1.13/1.31 (define @t390 () (or @t389 @t388 @t387 @t386)) % 1.13/1.31 (define @t391 () (or @t144 @t390)) % 1.13/1.31 (define @t392 () (forall (@list @t2 @t384 @t385) @t391)) % 1.13/1.31 (define @t393 () (@list @t384 @t385)) % 1.13/1.31 (define @t394 () (forall @t393 @t391)) % 1.13/1.31 (define @t395 () (forall @t393 @t390)) % 1.13/1.31 (define @t396 () (@var "BOUND_VARIABLE_9837" $$unsorted)) % 1.13/1.31 (define @t397 () (or @t144 @t395)) % 1.13/1.31 (define @t398 () (tptp.frontsegP (tptp.app @t2 @t396) @t1)) % 1.13/1.31 (define @t399 () (not (tptp.ssList @t396))) % 1.13/1.31 (define @t400 () (not @t20)) % 1.13/1.31 (define @t401 () (or @t176 @t400 @t399 @t398)) % 1.13/1.31 (define @t402 () (@list @t1 @t396)) % 1.13/1.31 (define @t403 () (forall @t402 @t401)) % 1.13/1.31 (define @t404 () (or @t399 @t398)) % 1.13/1.31 (define @t405 () (or @t176 @t400 @t404)) % 1.13/1.31 (define @t406 () (forall @t402 @t405)) % 1.13/1.31 (define @t407 () (@list @t396)) % 1.13/1.31 (define @t408 () (forall @t407 @t405)) % 1.13/1.31 (define @t409 () (forall @t407 @t404)) % 1.13/1.31 (define @t410 () (or @t176 @t400 @t409)) % 1.13/1.31 (define @t411 () (or @t214 @t61)) % 1.13/1.31 (define @t412 () (forall @t16 @t411)) % 1.13/1.31 (define @t413 () (or @t176 @t400 @t412)) % 1.13/1.31 (define @t414 () (or @t400 @t412)) % 1.13/1.31 (define @t415 () (or @t400 @t411)) % 1.13/1.31 (define @t416 () (or @t214 @t400 @t61)) % 1.13/1.31 (define @t417 () (tptp.frontsegP @t321 @t321)) % 1.13/1.31 (define @t418 () (or @t337 @t417)) % 1.13/1.31 (define @t419 () (tptp.frontsegP @t325 @t321)) % 1.13/1.31 (define @t420 () (not @t417)) % 1.13/1.31 (define @t421 () (or @t337 @t337 @t420 @t323 @t419)) % 1.13/1.31 (define @t422 () (not @t419)) % 1.13/1.31 (define @t423 () (not @t373)) % 1.13/1.31 (define @t424 () (or @t337 @t423 @t422 @t420)) % 1.13/1.31 (define @t425 () (not @t380)) % 1.13/1.31 (define @t426 () (@list true false)) % 1.13/1.31 (define @t427 () (= @t68 @t134)) % 1.13/1.31 (define @t428 () (tptp.frontsegP tptp.nil @t325)) % 1.13/1.31 (define @t429 () (= @t325 tptp.nil)) % 1.13/1.31 (define @t430 () (or @t334 (= @t428 @t429))) % 1.13/1.31 (define @t431 () (forall @t9 (or @t144 @t427))) % 1.13/1.31 (define @t432 () (= @t326 @t428)) % 1.13/1.31 (define @t433 () (or @t334 @t432)) % 1.13/1.31 (define @t434 () (not @t428)) % 1.13/1.31 (define @t435 () (and @t324 @t356)) % 1.13/1.31 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 1.13/1.31 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 1.13/1.31 (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))))))))))) % 1.13/1.31 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 1.13/1.31 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 1.13/1.31 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 1.13/1.31 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 1.13/1.31 (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))))))))))))))))) % 1.13/1.31 (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)))))))))))))))) % 1.13/1.31 (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))))))))))))))))) % 1.13/1.31 (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))))))))))))))) % 1.13/1.31 (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))))))))))))))) % 1.13/1.31 (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)))))))))))))))) % 1.13/1.31 (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))))))))))))) % 1.13/1.31 (assume @p15 @t40) % 1.13/1.31 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t41)))))) % 1.13/1.31 (assume @p17 @t42) % 1.13/1.31 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t41 @t2))))))) % 1.13/1.31 (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))))))))))) % 1.13/1.31 (assume @p20 (forall @t9 (=> @t17 (or @t45 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t44 @t2))))))))) % 1.13/1.31 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t41))))))) % 1.13/1.31 (assume @p22 (forall @t9 (=> @t17 (=> @t47 (tptp.ssItem @t46))))) % 1.13/1.31 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t41) @t1)))))) % 1.13/1.31 (assume @p24 (forall @t9 (=> @t17 (=> @t47 (tptp.ssList @t48))))) % 1.13/1.31 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t41) @t2)))))) % 1.13/1.31 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t49)))))) % 1.13/1.31 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t50) (tptp.app @t44 @t2))))))))) % 1.13/1.31 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 1.13/1.31 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t52 @t51) @t3)))))) % 1.13/1.31 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 @t26) (tptp.leq @t2 @t12))))))))) % 1.13/1.31 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 1.13/1.31 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t51)))))) % 1.13/1.31 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t55 (not @t54))))))) % 1.13/1.31 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t55 @t35) @t56)))))))) % 1.13/1.31 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t57 @t54)))))) % 1.13/1.31 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t58))))))))) % 1.13/1.31 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t58))))))))) % 1.13/1.31 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 1.13/1.31 (assume @p39 (not (tptp.singletonP tptp.nil))) % 1.13/1.31 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 1.13/1.31 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 1.13/1.31 (assume @p42 @t60) % 1.13/1.31 (assume @p43 @t67) % 1.13/1.31 (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)))))))))))) % 1.13/1.31 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 1.13/1.31 (assume @p46 @t70) % 1.13/1.31 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 1.13/1.31 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 1.13/1.31 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 1.13/1.31 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t71 @t1))))))))) % 1.13/1.31 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 1.13/1.31 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t45)))) % 1.13/1.31 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 1.13/1.31 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 1.13/1.31 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 1.13/1.31 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t24 (tptp.segmentP (tptp.app @t71 @t10) @t1))))))))))) % 1.13/1.31 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 1.13/1.31 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t45)))) % 1.13/1.31 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t72)))) % 1.13/1.31 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 1.13/1.31 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t72)))) % 1.13/1.31 (assume @p62 (tptp.totalorderP tptp.nil)) % 1.13/1.31 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t72)))) % 1.13/1.31 (assume @p64 (tptp.strictorderP tptp.nil)) % 1.13/1.31 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t72)))) % 1.13/1.31 (assume @p66 (tptp.totalorderedP tptp.nil)) % 1.13/1.31 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t76) (or @t74 (and @t75 (tptp.totalorderedP @t1) (tptp.leq @t2 @t73))))))))) % 1.13/1.31 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t72)))) % 1.13/1.31 (assume @p69 (tptp.strictorderedP tptp.nil)) % 1.13/1.31 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t76) (or @t74 (and @t75 (tptp.strictorderedP @t1) (tptp.lt @t2 @t73))))))))) % 1.13/1.31 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t72)))) % 1.13/1.31 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 1.13/1.31 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t72)))) % 1.13/1.31 (assume @p74 (tptp.equalelemsP tptp.nil)) % 1.13/1.31 (assume @p75 (forall @t9 (=> @t17 (=> @t47 (exists @t7 (and @t6 (= @t46 @t1))))))) % 1.13/1.31 (assume @p76 (forall @t9 (=> @t17 (=> @t47 (exists @t7 (and @t21 (= @t48 @t1))))))) % 1.13/1.31 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t75 @t47 (= @t73 @t46) (= (tptp.tl @t1) @t48)) @t43)))))) % 1.13/1.31 (assume @p78 (forall @t9 (=> @t17 (=> @t47 (= (tptp.cons @t46 @t48) @t2))))) % 1.13/1.31 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t49) @t77)))))))) % 1.13/1.31 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t50) @t77)))))))) % 1.13/1.31 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t41 (tptp.app @t18 @t2))))))) % 1.13/1.31 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t49 @t12) (tptp.app @t2 @t19))))))))) % 1.13/1.31 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= (= tptp.nil @t49) (and @t74 @t45))))))) % 1.13/1.31 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 1.13/1.31 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t47 (= (tptp.hd @t49) @t46))))))) % 1.13/1.31 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t47 (= (tptp.tl @t49) (tptp.app @t48 @t1)))))))) % 1.13/1.31 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t53 (tptp.geq @t1 @t2)) @t3)))))) % 1.13/1.31 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t53 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 1.13/1.31 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 1.13/1.31 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 1.13/1.31 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 @t35) @t56)))))))) % 1.13/1.31 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t52 (or @t3 @t55))))))) % 1.13/1.31 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t55 (and @t4 @t52))))))) % 1.13/1.31 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t57 (not (tptp.gt @t1 @t2)))))))) % 1.13/1.31 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t57 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 1.13/1.31 (assume @p96 @t121) % 1.13/1.31 (assume @p97 true) % 1.13/1.31 (step @p98 :rule aci_norm :args ((= @t147 @t145))) % 1.13/1.31 (step @p99 :rule cong :premises (@p98) :args (@t149)) % 1.13/1.31 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t151) @t149))) % 1.13/1.31 (step @p101 :rule alpha_equiv :args (@t152 (@list @t122) @t154)) % 1.13/1.31 (step @p102 :rule refl :args (@t143)) % 1.13/1.31 (step @p103 :rule refl :args (@t144)) % 1.13/1.31 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101) :args (@t155)) % 1.13/1.31 (step @p105 :rule quant-miniscope-or :args ((= @t151 @t155))) % 1.13/1.31 (step @p106 :rule trans :premises (@p105 @p104)) % 1.13/1.31 (step @p107 :rule symm :premises (@p106)) % 1.13/1.31 (step @p108 :rule cong :premises (@p107) :args ((forall @t9 @t165))) % 1.13/1.31 (step @p109 :rule trans :premises (@p108 @p100)) % 1.13/1.31 (step @p110 :rule trans :premises (@p109 @p99)) % 1.13/1.31 (step @p111 :rule aci_norm :args ((= (or @t144 @t165) @t165))) % 1.13/1.31 (step @p112 :rule bool-impl-elim :args (@t17 @t165)) % 1.13/1.31 (step @p113 :rule trans :premises (@p112 @p111)) % 1.13/1.31 (step @p114 :rule cong :premises (@p113) :args ((forall @t9 (=> @t17 @t165)))) % 1.13/1.31 (step @p115 :rule trans :premises (@p114 @p110)) % 1.13/1.31 (step @p116 :rule aci_norm :args ((= (or @t162 @t161 @t160 @t159 @t157 false @t156) @t163))) % 1.13/1.31 (step @p117 :rule refl :args (@t156)) % 1.13/1.31 (step @p118 :rule evaluate :args ((not true))) % 1.13/1.31 (step @p119 :rule eq-refl :args (@t158)) % 1.13/1.31 (step @p120 :rule cong :premises (@p119) :args (@t166)) % 1.13/1.31 (step @p121 :rule trans :premises (@p120 @p118)) % 1.13/1.31 (step @p122 :rule refl :args (@t157)) % 1.13/1.31 (step @p123 :rule refl :args (@t134)) % 1.13/1.31 (step @p124 :rule eq-symm :args (@t158 tptp.nil)) % 1.13/1.31 (step @p125 :rule cong :premises (@p124) :args (@t167)) % 1.13/1.31 (step @p126 :rule nary_cong :premises (@p125 @p123) :args (@t168)) % 1.13/1.31 (step @p127 :rule refl :args (@t160)) % 1.13/1.31 (step @p128 :rule refl :args (@t161)) % 1.13/1.31 (step @p129 :rule refl :args (@t162)) % 1.13/1.31 (step @p130 :rule nary_cong :premises (@p129 @p128 @p127 @p126 @p122 @p121 @p117) :args (@t169)) % 1.13/1.31 (step @p131 :rule trans :premises (@p130 @p116)) % 1.13/1.31 (step @p132 :rule cong :premises (@p131) :args ((forall @t164 @t169))) % 1.13/1.31 (step @p133 :rule quant-var-elim-eq :args ((= (forall @t7 @t177) @t169))) % 1.13/1.31 (step @p134 :rule aci_norm :args ((= @t178 @t177))) % 1.13/1.31 (step @p135 :rule cong :premises (@p134) :args (@t179)) % 1.13/1.31 (step @p136 :rule trans :premises (@p135 @p133)) % 1.13/1.31 (step @p137 :rule cong :premises (@p136) :args (@t180)) % 1.13/1.31 (step @p138 :rule quant-merge-prenex :args ((= @t180 @t181))) % 1.13/1.31 (step @p139 :rule symm :premises (@p138)) % 1.13/1.31 (step @p140 :rule quant_var_reordering :args ((= (forall @t182 @t178) @t181))) % 1.13/1.31 (step @p141 :rule trans :premises (@p140 @p139 @p137)) % 1.13/1.31 (step @p142 :rule trans :premises (@p141 @p132)) % 1.13/1.31 (step @p143 :rule aci_norm :args ((= @t184 @t178))) % 1.13/1.31 (step @p144 :rule cong :premises (@p143) :args (@t185)) % 1.13/1.31 (step @p145 :rule trans :premises (@p144 @p142)) % 1.13/1.31 (step @p146 :rule quant-merge-prenex :args ((= (forall @t7 @t186) @t185))) % 1.13/1.31 (step @p147 :rule alpha_equiv :args (@t187 @t154 @t189)) % 1.13/1.31 (step @p148 :rule refl :args (@t172)) % 1.13/1.31 (step @p149 :rule refl :args (@t175)) % 1.13/1.31 (step @p150 :rule refl :args (@t109)) % 1.13/1.31 (step @p151 :rule refl :args (@t176)) % 1.13/1.31 (step @p152 :rule nary_cong :premises (@p151 @p150 @p149 @p148 @p147) :args (@t190)) % 1.13/1.31 (step @p153 :rule quant-miniscope-or :args ((= @t186 @t190))) % 1.13/1.31 (step @p154 :rule trans :premises (@p153 @p152)) % 1.13/1.31 (step @p155 :rule symm :premises (@p154)) % 1.13/1.31 (step @p156 :rule cong :premises (@p155) :args (@t199)) % 1.13/1.31 (step @p157 :rule trans :premises (@p156 @p146)) % 1.13/1.31 (step @p158 :rule trans :premises (@p157 @p145)) % 1.13/1.31 (step @p159 :rule refl :args (@t143)) % 1.13/1.31 (step @p160 :rule refl :args (@t144)) % 1.13/1.31 (step @p161 :rule nary_cong :premises (@p160 @p159 @p158) :args (@t200)) % 1.13/1.31 (step @p162 :rule quant-miniscope-or :args ((= (forall @t7 @t201) @t200))) % 1.13/1.31 (step @p163 :rule aci_norm :args ((= @t202 @t201))) % 1.13/1.31 (step @p164 :rule cong :premises (@p163) :args ((forall @t7 @t202))) % 1.13/1.31 (step @p165 :rule trans :premises (@p164 @p162)) % 1.13/1.31 (step @p166 :rule trans :premises (@p165 @p161)) % 1.13/1.31 (step @p167 :rule aci_norm :args ((= (or @t176 @t203) @t202))) % 1.13/1.31 (step @p168 :rule bool-impl-elim :args (@t21 @t203)) % 1.13/1.31 (step @p169 :rule trans :premises (@p168 @p167)) % 1.13/1.31 (step @p170 :rule cong :premises (@p169) :args ((forall @t7 (=> @t21 @t203)))) % 1.13/1.31 (step @p171 :rule trans :premises (@p170 @p166)) % 1.13/1.31 (step @p172 :rule aci_norm :args ((= (or @t109 @t175 @t176 @t204) @t203))) % 1.13/1.31 (step @p173 :rule quant-miniscope-or :args ((= (forall @t196 @t205) @t204))) % 1.13/1.31 (step @p174 :rule aci_norm :args ((= @t206 @t205))) % 1.13/1.31 (step @p175 :rule cong :premises (@p174) :args ((forall @t196 @t206))) % 1.13/1.31 (step @p176 :rule trans :premises (@p175 @p173)) % 1.13/1.31 (step @p177 :rule aci_norm :args ((= (or @t144 false @t143 @t172 @t194 @t193 @t192) @t206))) % 1.13/1.31 (step @p178 :rule refl :args (@t192)) % 1.13/1.31 (step @p179 :rule refl :args (@t193)) % 1.13/1.31 (step @p180 :rule refl :args (@t194)) % 1.13/1.31 (step @p181 :rule refl :args (@t172)) % 1.13/1.31 (step @p182 :rule eq-refl :args (@t2)) % 1.13/1.31 (step @p183 :rule cong :premises (@p182) :args (@t207)) % 1.13/1.31 (step @p184 :rule trans :premises (@p183 @p118)) % 1.13/1.31 (step @p185 :rule nary_cong :premises (@p160 @p184 @p159 @p181 @p180 @p179 @p178) :args (@t208)) % 1.13/1.31 (step @p186 :rule trans :premises (@p185 @p177)) % 1.13/1.31 (step @p187 :rule cong :premises (@p186) :args ((forall @t196 @t208))) % 1.13/1.31 (step @p188 :rule trans :premises (@p187 @p176)) % 1.13/1.31 (step @p189 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t77) @t214 @t110 @t98 @t213 @t194 @t211 @t210)) @t208))) % 1.13/1.31 (step @p190 :rule refl :args (@t210)) % 1.13/1.31 (step @p191 :rule refl :args (@t211)) % 1.13/1.31 (step @p192 :rule refl :args (@t194)) % 1.13/1.31 (step @p193 :rule refl :args (@t213)) % 1.13/1.31 (step @p194 :rule refl :args (@t98)) % 1.13/1.31 (step @p195 :rule refl :args (@t110)) % 1.13/1.31 (step @p196 :rule refl :args (@t214)) % 1.13/1.31 (step @p197 :rule eq-symm :args (@t2 @t12)) % 1.13/1.31 (step @p198 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@p462 :rule eq_resolve :premises (@p461 @p436)) % 1.13/1.31 (step @p463 :rule chain_m_resolution :premises (@p462 @p433) :args (@t339 @t349 (@list @t318))) % 1.13/1.31 (step @p464 :rule bool-double-not-elim :args (@t329)) % 1.13/1.31 (step @p465 :rule refl :args (@t338)) % 1.13/1.31 (step @p466 :rule nary_cong :premises (@p465 @p464) :args ((or @t338 (not @t330)))) % 1.13/1.31 (step @p467 :rule cnf_or_neg :args (@t338 4)) % 1.13/1.31 (step @p468 :rule eq_resolve :premises (@p467 @p466)) % 1.13/1.31 (step @p469 :rule reordering :premises (@p468) :args ((or @t329 @t338))) % 1.13/1.31 (step @p470 :rule chain_m_resolution :premises (@p469 @p463) :args (@t329 @t349 @t350)) % 1.13/1.31 (step @p471 :rule instantiate :premises (@p470) :args (@t351)) % 1.13/1.31 (step @p472 :rule bool-impl-elim :args (@t17 @t59)) % 1.13/1.31 (step @p473 :rule cong :premises (@p472) :args (@t60)) % 1.13/1.31 (step @p474 :rule eq_resolve :premises (@p42 @p473)) % 1.13/1.31 (step @p475 :rule instantiate :premises (@p474) :args (@t351)) % 1.13/1.31 (step @p476 :rule bool-double-not-elim :args (@t333)) % 1.13/1.31 (step @p477 :rule nary_cong :premises (@p465 @p476) :args ((or @t338 (not @t334)))) % 1.13/1.31 (step @p478 :rule cnf_or_neg :args (@t338 2)) % 1.13/1.31 (step @p479 :rule eq_resolve :premises (@p478 @p477)) % 1.13/1.31 (step @p480 :rule reordering :premises (@p479) :args ((or @t333 @t338))) % 1.13/1.31 (step @p481 :rule chain_m_resolution :premises (@p480 @p463) :args (@t333 @t349 @t350)) % 1.13/1.31 (step @p482 :rule cnf_or_pos :args (@t353)) % 1.13/1.31 (step @p483 :rule reordering :premises (@p482) :args ((or @t334 @t352 (not @t353)))) % 1.13/1.31 (step @p484 :rule chain_m_resolution :premises (@p483 @p481 @p475) :args (@t352 @t354 (@list @t333 @t353))) % 1.13/1.31 (step @p485 :rule bool-double-not-elim :args (@t331)) % 1.13/1.31 (step @p486 :rule nary_cong :premises (@p465 @p485) :args ((or @t338 (not @t332)))) % 1.13/1.31 (step @p487 :rule cnf_or_neg :args (@t338 3)) % 1.13/1.31 (step @p488 :rule eq_resolve :premises (@p487 @p486)) % 1.13/1.31 (step @p489 :rule reordering :premises (@p488) :args ((or @t331 @t338))) % 1.13/1.31 (step @p490 :rule chain_m_resolution :premises (@p489 @p463) :args (@t331 @t349 @t350)) % 1.13/1.31 (step @p491 :rule cnf_or_pos :args (@t358)) % 1.13/1.31 (step @p492 :rule reordering :premises (@p491) :args ((or @t334 @t332 @t357 @t356 (not @t358)))) % 1.13/1.31 (step @p493 :rule chain_m_resolution :premises (@p492 @p481 @p490 @p484 @p471) :args (@t356 @t359 (@list @t333 @t331 @t352 @t358))) % 1.13/1.31 (step @p494 :rule aci_norm :args ((= @t365 @t363))) % 1.13/1.31 (step @p495 :rule cong :premises (@p494) :args (@t367)) % 1.13/1.31 (step @p496 :rule quant-merge-prenex :args ((= (forall @t9 @t369) @t367))) % 1.13/1.31 (step @p497 :rule alpha_equiv :args (@t370 (@list @t360) (@list @t1))) % 1.13/1.31 (step @p498 :rule nary_cong :premises (@p103 @p497) :args (@t371)) % 1.13/1.31 (step @p499 :rule quant-miniscope-or :args ((= @t369 @t371))) % 1.13/1.31 (step @p500 :rule trans :premises (@p499 @p498)) % 1.13/1.31 (step @p501 :rule symm :premises (@p500)) % 1.13/1.31 (step @p502 :rule cong :premises (@p501) :args ((forall @t9 (or @t144 @t372)))) % 1.13/1.31 (step @p503 :rule trans :premises (@p502 @p496)) % 1.13/1.31 (step @p504 :rule trans :premises (@p503 @p495)) % 1.13/1.31 (step @p505 :rule bool-impl-elim :args (@t17 @t372)) % 1.13/1.31 (step @p506 :rule cong :premises (@p505) :args ((forall @t9 (=> @t17 @t372)))) % 1.13/1.31 (step @p507 :rule trans :premises (@p506 @p504)) % 1.13/1.31 (step @p508 :rule bool-impl-elim :args (@t21 @t5)) % 1.13/1.31 (step @p509 :rule cong :premises (@p508) :args (@t38)) % 1.13/1.31 (step @p510 :rule cong :premises (@p428 @p509) :args (@t39)) % 1.13/1.31 (step @p511 :rule cong :premises (@p510) :args (@t40)) % 1.13/1.31 (step @p512 :rule trans :premises (@p511 @p507)) % 1.13/1.31 (step @p513 :rule eq_resolve :premises (@p15 @p512)) % 1.13/1.31 (step @p514 :rule eq-symm :args (@t373 @t374)) % 1.13/1.31 (step @p515 :rule cong :premises (@p444) :args (@t375)) % 1.13/1.31 (step @p516 :rule refl :args (@t373)) % 1.13/1.31 (step @p517 :rule cong :premises (@p516 @p515) :args (@t376)) % 1.13/1.31 (step @p518 :rule trans :premises (@p517 @p514)) % 1.13/1.31 (step @p519 :rule refl :args (@t377)) % 1.13/1.31 (step @p520 :rule nary_cong :premises (@p451 @p519 @p518) :args (@t378)) % 1.13/1.31 (step @p521 :rule refl :args (@t379)) % 1.13/1.31 (step @p522 :rule cong :premises (@p521 @p520) :args ((=> @t379 @t378))) % 1.13/1.31 (assume-push @p679 @t379) % 1.13/1.31 (step @p524 :rule instantiate :premises (@p513) :args ((@list @t321 tptp.nil))) % 1.13/1.31 (step-pop @p680 :rule scope :premises (@p524)) % 1.13/1.31 (step @p525 :rule process_scope :premises (@p680) :args (@t378)) % 1.13/1.31 (step @p527 :rule eq_resolve :premises (@p525 @p522)) % 1.13/1.31 (step @p528 :rule implies_elim :premises (@p527)) % 1.13/1.31 (step @p529 :rule chain_m_resolution :premises (@p528 @p513) :args (@t381 @t382 (@list @t379))) % 1.13/1.31 (step @p530 :rule bool-double-not-elim :args (@t336)) % 1.13/1.31 (step @p531 :rule nary_cong :premises (@p465 @p530) :args ((or @t338 (not @t337)))) % 1.13/1.31 (step @p532 :rule cnf_or_neg :args (@t338 0)) % 1.13/1.31 (step @p533 :rule eq_resolve :premises (@p532 @p531)) % 1.13/1.31 (step @p534 :rule reordering :premises (@p533) :args ((or @t336 @t338))) % 1.13/1.31 (step @p535 :rule chain_m_resolution :premises (@p534 @p463) :args (@t336 @t349 @t350)) % 1.13/1.31 (step @p536 :rule cnf_or_pos :args (@t381)) % 1.13/1.31 (step @p537 :rule reordering :premises (@p536) :args ((or @t377 @t337 @t380 (not @t381)))) % 1.13/1.31 (step @p538 :rule chain_m_resolution :premises (@p537 @p17 @p535 @p529) :args (@t380 (@list false false false) (@list @t42 @t336 @t381))) % 1.13/1.31 (step @p539 :rule instantiate :premises (@p470) :args (@t383)) % 1.13/1.31 (step @p540 :rule aci_norm :args ((= @t391 (or @t144 @t389 @t388 @t387 @t386)))) % 1.13/1.31 (step @p541 :rule cong :premises (@p540) :args (@t392)) % 1.13/1.31 (step @p542 :rule quant-merge-prenex :args ((= (forall @t9 @t394) @t392))) % 1.13/1.31 (step @p543 :rule alpha_equiv :args (@t395 (@list @t384 @t385) (@list @t1 @t396))) % 1.13/1.31 (step @p544 :rule nary_cong :premises (@p103 @p543) :args (@t397)) % 1.13/1.31 (step @p545 :rule quant-miniscope-or :args ((= @t394 @t397))) % 1.13/1.31 (step @p546 :rule trans :premises (@p545 @p544)) % 1.13/1.31 (step @p547 :rule symm :premises (@p546)) % 1.13/1.31 (step @p548 :rule cong :premises (@p547) :args ((forall @t9 (or @t144 @t403)))) % 1.13/1.31 (step @p549 :rule trans :premises (@p548 @p542)) % 1.13/1.31 (step @p550 :rule trans :premises (@p549 @p541)) % 1.13/1.31 (step @p551 :rule bool-impl-elim :args (@t17 @t403)) % 1.13/1.31 (step @p552 :rule cong :premises (@p551) :args ((forall @t9 (=> @t17 @t403)))) % 1.13/1.31 (step @p553 :rule trans :premises (@p552 @p550)) % 1.13/1.31 (step @p554 :rule aci_norm :args ((= @t405 @t401))) % 1.13/1.31 (step @p555 :rule cong :premises (@p554) :args (@t406)) % 1.13/1.31 (step @p556 :rule quant-merge-prenex :args ((= (forall @t7 @t408) @t406))) % 1.13/1.31 (step @p557 :rule alpha_equiv :args (@t409 (@list @t396) (@list @t12))) % 1.13/1.31 (step @p558 :rule refl :args (@t400)) % 1.13/1.31 (step @p559 :rule nary_cong :premises (@p151 @p558 @p557) :args (@t410)) % 1.13/1.31 (step @p560 :rule quant-miniscope-or :args ((= @t408 @t410))) % 1.13/1.31 (step @p561 :rule trans :premises (@p560 @p559)) % 1.13/1.31 (step @p562 :rule symm :premises (@p561)) % 1.13/1.31 (step @p563 :rule cong :premises (@p562) :args ((forall @t7 @t413))) % 1.13/1.31 (step @p564 :rule trans :premises (@p563 @p556)) % 1.13/1.31 (step @p565 :rule trans :premises (@p564 @p555)) % 1.13/1.31 (step @p566 :rule aci_norm :args ((= (or @t176 @t414) @t413))) % 1.13/1.31 (step @p567 :rule bool-impl-elim :args (@t21 @t414)) % 1.13/1.31 (step @p568 :rule trans :premises (@p567 @p566)) % 1.13/1.31 (step @p569 :rule cong :premises (@p568) :args ((forall @t7 (=> @t21 @t414)))) % 1.13/1.31 (step @p570 :rule trans :premises (@p569 @p565)) % 1.13/1.31 (step @p571 :rule quant-miniscope-or :args ((= (forall @t16 @t415) @t414))) % 1.13/1.31 (step @p572 :rule aci_norm :args ((= @t416 @t415))) % 1.13/1.31 (step @p573 :rule cong :premises (@p572) :args ((forall @t16 @t416))) % 1.13/1.31 (step @p574 :rule trans :premises (@p573 @p571)) % 1.13/1.31 (step @p575 :rule aci_norm :args ((= (or @t214 (or @t400 @t61)) @t416))) % 1.13/1.31 (step @p576 :rule bool-impl-elim :args (@t20 @t61)) % 1.13/1.31 (step @p577 :rule nary_cong :premises (@p196 @p576) :args ((or @t214 @t62))) % 1.13/1.31 (step @p578 :rule trans :premises (@p577 @p575)) % 1.13/1.31 (step @p579 :rule bool-impl-elim :args (@t15 @t62)) % 1.13/1.31 (step @p580 :rule trans :premises (@p579 @p578)) % 1.13/1.31 (step @p581 :rule cong :premises (@p580) :args (@t63)) % 1.13/1.31 (step @p582 :rule trans :premises (@p581 @p574)) % 1.13/1.31 (step @p583 :rule cong :premises (@p424 @p582) :args (@t64)) % 1.13/1.31 (step @p584 :rule cong :premises (@p583) :args (@t65)) % 1.13/1.31 (step @p585 :rule trans :premises (@p584 @p570)) % 1.13/1.31 (step @p586 :rule cong :premises (@p428 @p585) :args (@t66)) % 1.13/1.31 (step @p587 :rule cong :premises (@p586) :args (@t67)) % 1.13/1.31 (step @p588 :rule trans :premises (@p587 @p553)) % 1.13/1.31 (step @p589 :rule eq_resolve :premises (@p43 @p588)) % 1.13/1.31 (step @p590 :rule instantiate :premises (@p589) :args ((@list @t321 @t321 @t319))) % 1.13/1.31 (step @p591 :rule instantiate :premises (@p474) :args (@t383)) % 1.13/1.31 (step @p592 :rule cnf_or_pos :args (@t418)) % 1.13/1.31 (step @p593 :rule reordering :premises (@p592) :args ((or @t337 @t417 (not @t418)))) % 1.13/1.31 (step @p594 :rule chain_m_resolution :premises (@p593 @p535 @p591) :args (@t417 @t354 (@list @t336 @t418))) % 1.13/1.31 (step @p595 :rule bool-double-not-elim :args (@t322)) % 1.13/1.31 (step @p596 :rule nary_cong :premises (@p465 @p595) :args ((or @t338 (not @t323)))) % 1.13/1.31 (step @p597 :rule cnf_or_neg :args (@t338 6)) % 1.13/1.31 (step @p598 :rule eq_resolve :premises (@p597 @p596)) % 1.13/1.31 (step @p599 :rule reordering :premises (@p598) :args ((or @t322 @t338))) % 1.13/1.31 (step @p600 :rule chain_m_resolution :premises (@p599 @p463) :args (@t322 @t349 @t350)) % 1.13/1.31 (step @p601 :rule cnf_or_pos :args (@t421)) % 1.13/1.31 (step @p602 :rule factoring :premises (@p601)) % 1.13/1.31 (step @p603 :rule reordering :premises (@p602) :args ((or @t337 @t323 @t420 @t419 (not @t421)))) % 1.13/1.31 (step @p604 :rule chain_m_resolution :premises (@p603 @p535 @p600 @p594 @p590) :args (@t419 @t359 (@list @t336 @t322 @t417 @t421))) % 1.13/1.31 (step @p605 :rule cnf_or_pos :args (@t424)) % 1.13/1.31 (step @p606 :rule reordering :premises (@p605) :args ((or @t337 @t420 @t423 @t422 (not @t424)))) % 1.13/1.31 (step @p607 :rule chain_m_resolution :premises (@p606 @p535 @p594 @p604 @p539) :args (@t423 @t359 (@list @t336 @t417 @t419 @t424))) % 1.13/1.31 (step @p608 :rule bool-double-not-elim :args (@t324)) % 1.13/1.31 (step @p609 :rule refl :args (@t425)) % 1.13/1.31 (step @p610 :rule nary_cong :premises (@p609 @p608 @p516) :args ((or @t425 (not @t374) @t373))) % 1.13/1.31 (step @p611 :rule cnf_equiv_pos1 :args (@t380)) % 1.13/1.31 (step @p612 :rule eq_resolve :premises (@p611 @p610)) % 1.13/1.31 (step @p613 :rule reordering :premises (@p612) :args ((or @t324 @t373 @t425))) % 1.13/1.31 (step @p614 :rule chain_m_resolution :premises (@p613 @p607 @p538) :args (@t324 @t426 (@list @t373 @t380))) % 1.13/1.31 (step @p615 :rule bool-impl-elim :args (@t17 @t427)) % 1.13/1.31 (step @p616 :rule cong :premises (@p615) :args ((forall @t9 (=> @t17 @t427)))) % 1.13/1.31 (step @p617 :rule eq-symm :args (@t134 @t68)) % 1.13/1.31 (step @p618 :rule refl :args (@t68)) % 1.13/1.31 (step @p619 :rule eq-symm :args (tptp.nil @t2)) % 1.13/1.31 (step @p620 :rule cong :premises (@p619 @p618) :args ((= @t45 @t68))) % 1.13/1.31 (step @p621 :rule trans :premises (@p620 @p617)) % 1.13/1.31 (step @p622 :rule eq-symm :args (@t68 @t45)) % 1.13/1.31 (step @p623 :rule trans :premises (@p622 @p621)) % 1.13/1.31 (step @p624 :rule cong :premises (@p428 @p623) :args (@t69)) % 1.13/1.31 (step @p625 :rule cong :premises (@p624) :args (@t70)) % 1.13/1.31 (step @p626 :rule trans :premises (@p625 @p616)) % 1.13/1.31 (step @p627 :rule eq_resolve :premises (@p46 @p626)) % 1.13/1.31 (step @p628 :rule refl :args (@t428)) % 1.13/1.31 (step @p629 :rule eq-symm :args (@t325 tptp.nil)) % 1.13/1.31 (step @p630 :rule cong :premises (@p629 @p628) :args ((= @t429 @t428))) % 1.13/1.31 (step @p631 :rule eq-symm :args (@t428 @t429)) % 1.13/1.31 (step @p632 :rule trans :premises (@p631 @p630)) % 1.13/1.31 (step @p633 :rule nary_cong :premises (@p449 @p632) :args (@t430)) % 1.13/1.31 (step @p634 :rule refl :args (@t431)) % 1.13/1.31 (step @p635 :rule cong :premises (@p634 @p633) :args ((=> @t431 @t430))) % 1.13/1.31 (assume-push @p681 @t431) % 1.13/1.31 (step @p637 :rule instantiate :premises (@p627) :args (@t351)) % 1.13/1.31 (step-pop @p682 :rule scope :premises (@p637)) % 1.13/1.31 (step @p638 :rule process_scope :premises (@p682) :args (@t430)) % 1.13/1.31 (step @p640 :rule eq_resolve :premises (@p638 @p635)) % 1.13/1.31 (step @p641 :rule implies_elim :premises (@p640)) % 1.13/1.31 (step @p642 :rule chain_m_resolution :premises (@p641 @p627) :args (@t433 @t382 (@list @t431))) % 1.13/1.31 (step @p643 :rule cnf_or_pos :args (@t433)) % 1.13/1.31 (step @p644 :rule reordering :premises (@p643) :args ((or @t334 @t432 (not @t433)))) % 1.13/1.31 (step @p645 :rule chain_m_resolution :premises (@p644 @p481 @p642) :args (@t432 @t354 (@list @t333 @t433))) % 1.13/1.31 (step @p646 :rule cnf_or_neg :args (@t338 5)) % 1.13/1.31 (step @p647 :rule chain_m_resolution :premises (@p646 @p463) :args ((not @t328) @t349 @t350)) % 1.13/1.31 (step @p648 :rule refl :args (@t374)) % 1.13/1.31 (step @p649 :rule bool-double-not-elim :args (@t326)) % 1.13/1.31 (step @p650 :rule refl :args (@t328)) % 1.13/1.31 (step @p651 :rule nary_cong :premises (@p650 @p649 @p648) :args ((or @t328 (not @t327) @t374))) % 1.13/1.31 (step @p652 :rule cnf_and_neg :args (@t328)) % 1.13/1.31 (step @p653 :rule eq_resolve :premises (@p652 @p651)) % 1.13/1.31 (step @p654 :rule reordering :premises (@p653) :args ((or @t326 @t328 @t374))) % 1.13/1.31 (step @p655 :rule chain_m_resolution :premises (@p654 @p647 @p614) :args (@t326 @t426 (@list @t328 @t324))) % 1.13/1.31 (step @p656 :rule cnf_equiv_pos1 :args (@t432)) % 1.13/1.31 (step @p657 :rule reordering :premises (@p656) :args ((or @t327 @t428 (not @t432)))) % 1.13/1.32 (step @p658 :rule chain_m_resolution :premises (@p657 @p655 @p645) :args (@t428 @t354 (@list @t326 @t432))) % 1.13/1.32 (step @p659 :rule refl :args (@t434)) % 1.13/1.32 (step @p660 :rule bool-double-not-elim :args (@t355)) % 1.13/1.32 (step @p661 :rule nary_cong :premises (@p648 @p660 @p659) :args ((or @t374 (not @t356) @t434))) % 1.13/1.32 (assume-push @p683 @t324) % 1.13/1.32 (assume-push @p684 @t356) % 1.13/1.32 (step @p664 :rule false_intro :premises (@p493)) % 1.13/1.32 (step @p665 :rule refl :args (@t325)) % 1.13/1.32 (step @p666 :rule cong :premises (@p614 @p665) :args (@t428)) % 1.13/1.32 (step @p667 :rule trans :premises (@p666 @p664)) % 1.13/1.32 (step @p668 :rule false_elim :premises (@p667)) % 1.13/1.32 (step-pop @p685 :rule scope :premises (@p668)) % 1.13/1.32 (step-pop @p686 :rule scope :premises (@p685)) % 1.13/1.32 (step @p669 :rule process_scope :premises (@p686) :args (@t434)) % 1.13/1.32 (step @p672 :rule implies_elim :premises (@p669)) % 1.13/1.32 (step @p673 :rule cnf_and_neg :args (@t435)) % 1.13/1.32 (step @p674 :rule resolution :premises (@p673 @p672) :args (true @t435)) % 1.13/1.32 (step @p675 :rule eq_resolve :premises (@p674 @p661)) % 1.13/1.32 (step @p676 false :rule chain_m_resolution :premises (@p675 @p658 @p614 @p493) :args (false (@list false false true) (@list @t428 @t324 @t355))) % 1.13/1.32 ) % 1.13/1.32 % SZS output end Proof % 1.13/1.32 % cvc5 exiting %------------------------------------------------------------------------------