%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC090+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 : n002.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 08:58:00 AM UTC 2026 % Result : Theorem 16.33s 16.59s % Output : Proof 16.33s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC090+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 : n002.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 19:14:03 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.51 %----Proving TF0_NAR, FOF, or CNF % 16.33/16.59 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 16.33/16.59 --- Run --no-e-matching --full-saturate-quant at 6... % 16.33/16.59 % SZS status Theorem % 16.33/16.59 % SZS output start Proof % 16.33/16.59 ( % 16.33/16.59 (declare-sort $$unsorted 0) % 16.33/16.59 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 16.33/16.59 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 16.33/16.59 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 16.33/16.59 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 16.33/16.59 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 16.33/16.59 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 16.33/16.59 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 16.33/16.59 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 16.33/16.59 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 16.33/16.59 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 16.33/16.59 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 16.33/16.59 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 16.33/16.59 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 16.33/16.59 (declare-const tptp.nil $$unsorted) % 16.33/16.59 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 16.33/16.59 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 16.33/16.59 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 16.33/16.59 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 16.33/16.59 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 16.33/16.59 (declare-const tptp.ssList (-> $$unsorted Bool)) % 16.33/16.59 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 16.33/16.59 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 16.33/16.59 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 16.33/16.59 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 16.33/16.59 (define @t1 () (@var "V" $$unsorted)) % 16.33/16.59 (define @t2 () (@var "U" $$unsorted)) % 16.33/16.59 (define @t3 () (= @t2 @t1)) % 16.33/16.59 (define @t4 () (not @t3)) % 16.33/16.59 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 16.33/16.59 (define @t6 () (tptp.ssItem @t1)) % 16.33/16.59 (define @t7 () (@list @t1)) % 16.33/16.59 (define @t8 () (tptp.ssItem @t2)) % 16.33/16.59 (define @t9 () (@list @t2)) % 16.33/16.59 (define @t10 () (@var "X" $$unsorted)) % 16.33/16.59 (define @t11 () (tptp.cons @t1 @t10)) % 16.33/16.59 (define @t12 () (@var "W" $$unsorted)) % 16.33/16.59 (define @t13 () (tptp.ssList @t10)) % 16.33/16.59 (define @t14 () (@list @t10)) % 16.33/16.59 (define @t15 () (tptp.ssList @t12)) % 16.33/16.59 (define @t16 () (@list @t12)) % 16.33/16.59 (define @t17 () (tptp.ssList @t2)) % 16.33/16.59 (define @t18 () (tptp.cons @t1 tptp.nil)) % 16.33/16.59 (define @t19 () (tptp.app @t1 @t12)) % 16.33/16.59 (define @t20 () (tptp.frontsegP @t2 @t1)) % 16.33/16.59 (define @t21 () (tptp.ssList @t1)) % 16.33/16.59 (define @t22 () (tptp.app @t12 @t1)) % 16.33/16.59 (define @t23 () (tptp.rearsegP @t2 @t1)) % 16.33/16.59 (define @t24 () (tptp.segmentP @t2 @t1)) % 16.33/16.59 (define @t25 () (tptp.leq @t12 @t1)) % 16.33/16.59 (define @t26 () (tptp.leq @t1 @t12)) % 16.33/16.59 (define @t27 () (@var "Z" $$unsorted)) % 16.33/16.59 (define @t28 () (@var "Y" $$unsorted)) % 16.33/16.59 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 16.33/16.59 (define @t30 () (tptp.ssList @t27)) % 16.33/16.59 (define @t31 () (@list @t27)) % 16.33/16.59 (define @t32 () (tptp.ssList @t28)) % 16.33/16.59 (define @t33 () (@list @t28)) % 16.33/16.59 (define @t34 () (tptp.ssItem @t12)) % 16.33/16.59 (define @t35 () (tptp.lt @t1 @t12)) % 16.33/16.59 (define @t36 () (= @t1 @t12)) % 16.33/16.59 (define @t37 () (forall @t7 (=> @t21 @t5))) % 16.33/16.59 (define @t38 () (=> @t17 @t37)) % 16.33/16.59 (define @t39 () (forall @t9 @t38)) % 16.33/16.59 (define @t40 () (tptp.cons @t1 @t2)) % 16.33/16.59 (define @t41 () (tptp.ssList tptp.nil)) % 16.33/16.59 (define @t42 () (= @t1 @t2)) % 16.33/16.59 (define @t43 () (tptp.cons @t12 @t1)) % 16.33/16.59 (define @t44 () (= tptp.nil @t2)) % 16.33/16.59 (define @t45 () (tptp.hd @t2)) % 16.33/16.59 (define @t46 () (not @t44)) % 16.33/16.59 (define @t47 () (tptp.tl @t2)) % 16.33/16.59 (define @t48 () (tptp.app @t2 @t1)) % 16.33/16.59 (define @t49 () (tptp.app @t1 @t2)) % 16.33/16.59 (define @t50 () (tptp.app tptp.nil @t2)) % 16.33/16.59 (define @t51 () (=> @t17 (= @t50 @t2))) % 16.33/16.59 (define @t52 () (forall @t9 @t51)) % 16.33/16.59 (define @t53 () (tptp.leq @t1 @t2)) % 16.33/16.59 (define @t54 () (tptp.leq @t2 @t1)) % 16.33/16.59 (define @t55 () (tptp.geq @t2 @t1)) % 16.33/16.59 (define @t56 () (tptp.lt @t1 @t2)) % 16.33/16.59 (define @t57 () (tptp.lt @t2 @t1)) % 16.33/16.59 (define @t58 () (tptp.lt @t2 @t12)) % 16.33/16.59 (define @t59 () (tptp.gt @t2 @t1)) % 16.33/16.59 (define @t60 () (tptp.memberP @t12 @t2)) % 16.33/16.59 (define @t61 () (tptp.app @t12 @t2)) % 16.33/16.59 (define @t62 () (tptp.segmentP @t2 @t2)) % 16.33/16.59 (define @t63 () (forall @t9 (=> @t17 @t62))) % 16.33/16.59 (define @t64 () (tptp.segmentP (tptp.app @t61 @t10) @t1)) % 16.33/16.59 (define @t65 () (=> @t24 @t64)) % 16.33/16.59 (define @t66 () (forall @t14 (=> @t13 @t65))) % 16.33/16.59 (define @t67 () (=> @t15 @t66)) % 16.33/16.59 (define @t68 () (forall @t16 @t67)) % 16.33/16.59 (define @t69 () (=> @t21 @t68)) % 16.33/16.59 (define @t70 () (forall @t7 @t69)) % 16.33/16.59 (define @t71 () (=> @t17 @t70)) % 16.33/16.59 (define @t72 () (forall @t9 @t71)) % 16.33/16.59 (define @t73 () (tptp.cons @t2 tptp.nil)) % 16.33/16.59 (define @t74 () (tptp.hd @t1)) % 16.33/16.59 (define @t75 () (= tptp.nil @t1)) % 16.33/16.59 (define @t76 () (not @t75)) % 16.33/16.59 (define @t77 () (tptp.cons @t2 @t1)) % 16.33/16.59 (define @t78 () (= @t12 @t2)) % 16.33/16.59 (define @t79 () (= (tptp.app @t48 @t12) (tptp.app @t2 @t19))) % 16.33/16.59 (define @t80 () (forall @t16 (=> @t15 @t79))) % 16.33/16.59 (define @t81 () (=> @t21 @t80)) % 16.33/16.59 (define @t82 () (forall @t7 @t81)) % 16.33/16.59 (define @t83 () (=> @t17 @t82)) % 16.33/16.59 (define @t84 () (forall @t9 @t83)) % 16.33/16.59 (define @t85 () (and @t75 @t44)) % 16.33/16.59 (define @t86 () (= tptp.nil @t48)) % 16.33/16.59 (define @t87 () (= @t86 @t85)) % 16.33/16.59 (define @t88 () (=> @t21 @t87)) % 16.33/16.59 (define @t89 () (forall @t7 @t88)) % 16.33/16.59 (define @t90 () (=> @t17 @t89)) % 16.33/16.59 (define @t91 () (forall @t9 @t90)) % 16.33/16.59 (define @t92 () (tptp.app @t2 tptp.nil)) % 16.33/16.59 (define @t93 () (=> @t17 (= @t92 @t2))) % 16.33/16.59 (define @t94 () (forall @t9 @t93)) % 16.33/16.59 (define @t95 () (@var "X1" $$unsorted)) % 16.33/16.59 (define @t96 () (tptp.app @t95 @t27)) % 16.33/16.59 (define @t97 () (not (= @t96 @t12))) % 16.33/16.59 (define @t98 () (tptp.app @t27 @t95)) % 16.33/16.59 (define @t99 () (not (= @t98 @t10))) % 16.33/16.59 (define @t100 () (or @t99 @t97)) % 16.33/16.59 (define @t101 () (tptp.ssList @t95)) % 16.33/16.59 (define @t102 () (=> @t101 @t100)) % 16.33/16.59 (define @t103 () (@list @t95)) % 16.33/16.59 (define @t104 () (forall @t103 @t102)) % 16.33/16.59 (define @t105 () (=> @t30 @t104)) % 16.33/16.59 (define @t106 () (forall @t31 @t105)) % 16.33/16.59 (define @t107 () (tptp.segmentP @t2 @t28)) % 16.33/16.59 (define @t108 () (tptp.segmentP @t1 @t28)) % 16.33/16.59 (define @t109 () (tptp.neq @t28 tptp.nil)) % 16.33/16.59 (define @t110 () (and @t32 @t109 @t108 @t107)) % 16.33/16.59 (define @t111 () (exists @t33 @t110)) % 16.33/16.59 (define @t112 () (not (tptp.neq @t1 tptp.nil))) % 16.33/16.59 (define @t113 () (not (= @t2 @t12))) % 16.33/16.59 (define @t114 () (not (= @t1 @t10))) % 16.33/16.59 (define @t115 () (or @t114 @t113 @t112 @t111 @t106)) % 16.33/16.59 (define @t116 () (=> @t13 @t115)) % 16.33/16.59 (define @t117 () (forall @t14 @t116)) % 16.33/16.59 (define @t118 () (=> @t15 @t117)) % 16.33/16.59 (define @t119 () (forall @t16 @t118)) % 16.33/16.59 (define @t120 () (=> @t21 @t119)) % 16.33/16.59 (define @t121 () (forall @t7 @t120)) % 16.33/16.59 (define @t122 () (=> @t17 @t121)) % 16.33/16.59 (define @t123 () (forall @t9 @t122)) % 16.33/16.59 (define @t124 () (not @t123)) % 16.33/16.59 (define @t125 () (@var "BOUND_VARIABLE_11103" $$unsorted)) % 16.33/16.59 (define @t126 () (not (tptp.ssList @t125))) % 16.33/16.59 (define @t127 () (@var "BOUND_VARIABLE_11101" $$unsorted)) % 16.33/16.59 (define @t128 () (not (tptp.ssList @t127))) % 16.33/16.59 (define @t129 () (tptp.app @t125 @t127)) % 16.33/16.59 (define @t130 () (tptp.app @t127 @t125)) % 16.33/16.59 (define @t131 () (not (tptp.segmentP @t130 @t28))) % 16.33/16.59 (define @t132 () (not @t109)) % 16.33/16.59 (define @t133 () (not @t32)) % 16.33/16.59 (define @t134 () (not (forall @t33 (or @t133 @t132 @t131 (not (tptp.segmentP @t129 @t28)))))) % 16.33/16.59 (define @t135 () (not (tptp.neq @t130 tptp.nil))) % 16.33/16.59 (define @t136 () (not (tptp.ssList @t130))) % 16.33/16.59 (define @t137 () (not (tptp.ssList @t129))) % 16.33/16.59 (define @t138 () (or @t137 @t136 @t135 @t134 @t128 @t126)) % 16.33/16.59 (define @t139 () (not (= @t129 @t129))) % 16.33/16.59 (define @t140 () (or @t137 @t136 @t135 @t134 @t128 @t126 @t139)) % 16.33/16.59 (define @t141 () (@list @t127 @t125)) % 16.33/16.59 (define @t142 () (not (= @t2 @t129))) % 16.33/16.59 (define @t143 () (not @t107)) % 16.33/16.59 (define @t144 () (not (forall @t33 (or @t133 @t132 @t131 @t143)))) % 16.33/16.59 (define @t145 () (not @t17)) % 16.33/16.59 (define @t146 () (or @t142 @t145 @t136 @t135 @t144 @t128 @t126 @t142)) % 16.33/16.59 (define @t147 () (or @t145 @t136 @t135 @t144 @t128 @t126 @t142)) % 16.33/16.59 (define @t148 () (forall @t9 @t147)) % 16.33/16.59 (define @t149 () (forall @t141 @t148)) % 16.33/16.59 (define @t150 () (forall (@list @t127 @t125 @t2) @t147)) % 16.33/16.59 (define @t151 () (@list @t2 @t127 @t125)) % 16.33/16.59 (define @t152 () (or @t136 @t135 @t144 @t128 @t126 @t142)) % 16.33/16.59 (define @t153 () (or @t145 @t152)) % 16.33/16.59 (define @t154 () (forall @t151 @t153)) % 16.33/16.59 (define @t155 () (forall @t141 @t153)) % 16.33/16.59 (define @t156 () (forall @t141 @t152)) % 16.33/16.59 (define @t157 () (@var "BOUND_VARIABLE_11062" $$unsorted)) % 16.33/16.59 (define @t158 () (@var "BOUND_VARIABLE_11060" $$unsorted)) % 16.33/16.59 (define @t159 () (@list @t158 @t157)) % 16.33/16.59 (define @t160 () (or @t145 @t156)) % 16.33/16.59 (define @t161 () (not (= @t2 (tptp.app @t157 @t158)))) % 16.33/16.59 (define @t162 () (not (tptp.ssList @t157))) % 16.33/16.59 (define @t163 () (not (tptp.ssList @t158))) % 16.33/16.59 (define @t164 () (tptp.app @t158 @t157)) % 16.33/16.59 (define @t165 () (not (forall @t33 (or @t133 @t132 (not (tptp.segmentP @t164 @t28)) @t143)))) % 16.33/16.59 (define @t166 () (not (tptp.neq @t164 tptp.nil))) % 16.33/16.59 (define @t167 () (not (tptp.ssList @t164))) % 16.33/16.59 (define @t168 () (or @t167 @t166 @t165 @t163 @t162 @t161)) % 16.33/16.59 (define @t169 () (@list @t158 @t157)) % 16.33/16.59 (define @t170 () (or @t145 (forall @t169 @t168))) % 16.33/16.59 (define @t171 () (not (= @t164 @t164))) % 16.33/16.59 (define @t172 () (or @t167 @t166 @t165 @t163 @t162 @t171 @t161)) % 16.33/16.59 (define @t173 () (not (= @t1 @t164))) % 16.33/16.59 (define @t174 () (not @t108)) % 16.33/16.59 (define @t175 () (or @t133 @t132 @t174 @t143)) % 16.33/16.59 (define @t176 () (not (forall @t33 @t175))) % 16.33/16.59 (define @t177 () (not @t21)) % 16.33/16.59 (define @t178 () (or @t173 @t177 @t112 @t176 @t163 @t162 @t173 @t161)) % 16.33/16.59 (define @t179 () (or @t177 @t112 @t176 @t163 @t162 @t173 @t161)) % 16.33/16.59 (define @t180 () (forall @t7 @t179)) % 16.33/16.59 (define @t181 () (forall @t169 @t180)) % 16.33/16.59 (define @t182 () (forall (@list @t158 @t157 @t1) @t179)) % 16.33/16.59 (define @t183 () (@list @t1 @t158 @t157)) % 16.33/16.59 (define @t184 () (or @t163 @t162 @t173 @t161)) % 16.33/16.59 (define @t185 () (or @t177 @t112 @t176 @t184)) % 16.33/16.59 (define @t186 () (forall @t183 @t185)) % 16.33/16.59 (define @t187 () (forall @t169 @t185)) % 16.33/16.59 (define @t188 () (forall @t169 @t184)) % 16.33/16.59 (define @t189 () (@var "BOUND_VARIABLE_11020" $$unsorted)) % 16.33/16.59 (define @t190 () (@var "BOUND_VARIABLE_11018" $$unsorted)) % 16.33/16.59 (define @t191 () (@list @t190 @t189)) % 16.33/16.59 (define @t192 () (or @t177 @t112 @t176 @t188)) % 16.33/16.59 (define @t193 () (tptp.app @t189 @t190)) % 16.33/16.59 (define @t194 () (not (= @t2 @t193))) % 16.33/16.59 (define @t195 () (not (= @t1 (tptp.app @t190 @t189)))) % 16.33/16.59 (define @t196 () (not (tptp.ssList @t189))) % 16.33/16.59 (define @t197 () (not (tptp.ssList @t190))) % 16.33/16.59 (define @t198 () (or @t197 @t196 @t195 @t194)) % 16.33/16.59 (define @t199 () (@list @t190 @t189)) % 16.33/16.59 (define @t200 () (forall @t199 @t198)) % 16.33/16.59 (define @t201 () (or @t177 @t112 @t176 @t200)) % 16.33/16.59 (define @t202 () (forall @t7 @t201)) % 16.33/16.59 (define @t203 () (or @t145 @t202)) % 16.33/16.59 (define @t204 () (or @t145 @t201)) % 16.33/16.59 (define @t205 () (or @t177 @t112 @t176 @t145 @t200)) % 16.33/16.59 (define @t206 () (or @t112 @t176 @t177 @t145 @t200)) % 16.33/16.59 (define @t207 () (or @t145 @t200)) % 16.33/16.59 (define @t208 () (or @t145 @t198)) % 16.33/16.59 (define @t209 () (or @t145 @t197 @t196 @t195 @t194)) % 16.33/16.59 (define @t210 () (not (= @t2 @t2))) % 16.33/16.59 (define @t211 () (or @t145 @t210 @t197 @t196 @t195 @t194)) % 16.33/16.59 (define @t212 () (not (= @t12 @t193))) % 16.33/16.59 (define @t213 () (not @t15)) % 16.33/16.59 (define @t214 () (or @t113 @t213 @t113 @t197 @t196 @t195 @t212)) % 16.33/16.59 (define @t215 () (or @t213 @t113 @t197 @t196 @t195 @t212)) % 16.33/16.59 (define @t216 () (forall @t16 @t215)) % 16.33/16.59 (define @t217 () (forall @t199 @t216)) % 16.33/16.59 (define @t218 () (forall (@list @t190 @t189 @t12) @t215)) % 16.33/16.59 (define @t219 () (@list @t12 @t190 @t189)) % 16.33/16.59 (define @t220 () (or @t197 @t196 @t195 @t212)) % 16.33/16.59 (define @t221 () (or @t213 @t113 @t220)) % 16.33/16.59 (define @t222 () (forall @t219 @t221)) % 16.33/16.59 (define @t223 () (forall @t199 @t221)) % 16.33/16.59 (define @t224 () (forall @t199 @t220)) % 16.33/16.59 (define @t225 () (@var "BOUND_VARIABLE_10980" $$unsorted)) % 16.33/16.59 (define @t226 () (@var "BOUND_VARIABLE_10978" $$unsorted)) % 16.33/16.59 (define @t227 () (@list @t226 @t225)) % 16.33/16.59 (define @t228 () (or @t213 @t113 @t224)) % 16.33/16.59 (define @t229 () (not (= @t12 (tptp.app @t225 @t226)))) % 16.33/16.59 (define @t230 () (tptp.app @t226 @t225)) % 16.33/16.59 (define @t231 () (not (= @t1 @t230))) % 16.33/16.59 (define @t232 () (not (tptp.ssList @t225))) % 16.33/16.59 (define @t233 () (not (tptp.ssList @t226))) % 16.33/16.59 (define @t234 () (or @t233 @t232 @t231 @t229)) % 16.33/16.59 (define @t235 () (@list @t226 @t225)) % 16.33/16.59 (define @t236 () (forall @t235 @t234)) % 16.33/16.59 (define @t237 () (or @t213 @t113 @t236)) % 16.33/16.59 (define @t238 () (forall @t16 @t237)) % 16.33/16.59 (define @t239 () (or @t112 @t176 @t177 @t238)) % 16.33/16.59 (define @t240 () (or @t112 @t176 @t177 @t237)) % 16.33/16.59 (define @t241 () (or @t213 @t113 @t112 @t176 @t177 @t236)) % 16.33/16.59 (define @t242 () (or @t113 @t112 @t176 @t177 @t236)) % 16.33/16.59 (define @t243 () (or @t177 @t236)) % 16.33/16.59 (define @t244 () (or @t177 @t234)) % 16.33/16.59 (define @t245 () (or @t177 @t233 @t232 @t231 @t229)) % 16.33/16.59 (define @t246 () (not (= @t1 @t1))) % 16.33/16.59 (define @t247 () (or @t177 @t246 @t233 @t232 @t231 @t229)) % 16.33/16.59 (define @t248 () (not (= @t10 @t230))) % 16.33/16.59 (define @t249 () (not @t13)) % 16.33/16.59 (define @t250 () (or @t114 @t249 @t114 @t233 @t232 @t248 @t229)) % 16.33/16.59 (define @t251 () (or @t249 @t114 @t233 @t232 @t248 @t229)) % 16.33/16.59 (define @t252 () (forall @t14 @t251)) % 16.33/16.59 (define @t253 () (forall @t235 @t252)) % 16.33/16.59 (define @t254 () (forall (@list @t226 @t225 @t10) @t251)) % 16.33/16.59 (define @t255 () (@list @t10 @t226 @t225)) % 16.33/16.59 (define @t256 () (or @t233 @t232 @t248 @t229)) % 16.33/16.59 (define @t257 () (or @t249 @t114 @t256)) % 16.33/16.59 (define @t258 () (forall @t255 @t257)) % 16.33/16.59 (define @t259 () (forall @t235 @t257)) % 16.33/16.59 (define @t260 () (forall @t235 @t256)) % 16.33/16.59 (define @t261 () (@var "BOUND_VARIABLE_10954" $$unsorted)) % 16.33/16.59 (define @t262 () (or @t249 @t114 @t260)) % 16.33/16.59 (define @t263 () (not (= @t12 (tptp.app @t261 @t27)))) % 16.33/16.59 (define @t264 () (not (= @t10 (tptp.app @t27 @t261)))) % 16.33/16.59 (define @t265 () (not (tptp.ssList @t261))) % 16.33/16.59 (define @t266 () (not @t30)) % 16.33/16.59 (define @t267 () (or @t266 @t265 @t264 @t263)) % 16.33/16.59 (define @t268 () (@list @t27 @t261)) % 16.33/16.59 (define @t269 () (forall @t268 @t267)) % 16.33/16.59 (define @t270 () (or @t249 @t114 @t269)) % 16.33/16.59 (define @t271 () (forall @t14 @t270)) % 16.33/16.59 (define @t272 () (or @t113 @t112 @t176 @t271)) % 16.33/16.59 (define @t273 () (or @t113 @t112 @t176 @t270)) % 16.33/16.59 (define @t274 () (or @t249 @t114 @t113 @t112 @t176 @t269)) % 16.33/16.59 (define @t275 () (or @t114 @t113 @t112 @t176 @t269)) % 16.33/16.59 (define @t276 () (or @t265 @t264 @t263)) % 16.33/16.59 (define @t277 () (or @t266 @t276)) % 16.33/16.59 (define @t278 () (forall @t268 @t277)) % 16.33/16.59 (define @t279 () (@list @t261)) % 16.33/16.59 (define @t280 () (forall @t279 @t277)) % 16.33/16.59 (define @t281 () (forall @t279 @t276)) % 16.33/16.59 (define @t282 () (or @t266 @t281)) % 16.33/16.59 (define @t283 () (not (= @t12 @t96))) % 16.33/16.59 (define @t284 () (not (= @t10 @t98))) % 16.33/16.59 (define @t285 () (not @t101)) % 16.33/16.59 (define @t286 () (or @t285 @t284 @t283)) % 16.33/16.59 (define @t287 () (forall @t103 @t286)) % 16.33/16.59 (define @t288 () (or @t284 @t283)) % 16.33/16.59 (define @t289 () (forall @t33 (not @t110))) % 16.33/16.59 (define @t290 () (not @t289)) % 16.33/16.59 (define @t291 () (forall @t141 @t138)) % 16.33/16.59 (define @t292 () (@quantifiers_skolemize @t291 1)) % 16.33/16.59 (define @t293 () (tptp.ssList @t292)) % 16.33/16.59 (define @t294 () (not @t293)) % 16.33/16.59 (define @t295 () (@quantifiers_skolemize @t291 0)) % 16.33/16.59 (define @t296 () (tptp.ssList @t295)) % 16.33/16.59 (define @t297 () (not @t296)) % 16.33/16.59 (define @t298 () (tptp.app @t292 @t295)) % 16.33/16.59 (define @t299 () (tptp.app @t295 @t292)) % 16.33/16.59 (define @t300 () (forall @t33 (or @t133 @t132 (not (tptp.segmentP @t299 @t28)) (not (tptp.segmentP @t298 @t28))))) % 16.33/16.59 (define @t301 () (not @t300)) % 16.33/16.59 (define @t302 () (tptp.neq @t299 tptp.nil)) % 16.33/16.59 (define @t303 () (not @t302)) % 16.33/16.59 (define @t304 () (tptp.ssList @t299)) % 16.33/16.59 (define @t305 () (not @t304)) % 16.33/16.59 (define @t306 () (or (not (tptp.ssList @t298)) @t305 @t303 @t301 @t297 @t294)) % 16.33/16.59 (define @t307 () (@list true)) % 16.33/16.59 (define @t308 () (@list @t306)) % 16.33/16.59 (define @t309 () (@list @t292)) % 16.33/16.59 (define @t310 () (@var "BOUND_VARIABLE_9108" $$unsorted)) % 16.33/16.59 (define @t311 () (= (tptp.neq @t2 @t310) (not (= @t2 @t310)))) % 16.33/16.59 (define @t312 () (not (tptp.ssList @t310))) % 16.33/16.59 (define @t313 () (or @t145 @t312 @t311)) % 16.33/16.59 (define @t314 () (or @t312 @t311)) % 16.33/16.59 (define @t315 () (or @t145 @t314)) % 16.33/16.59 (define @t316 () (@list @t2 @t310)) % 16.33/16.59 (define @t317 () (forall @t316 @t315)) % 16.33/16.59 (define @t318 () (@list @t310)) % 16.33/16.59 (define @t319 () (forall @t318 @t315)) % 16.33/16.59 (define @t320 () (forall @t318 @t314)) % 16.33/16.59 (define @t321 () (@list @t1)) % 16.33/16.59 (define @t322 () (or @t145 @t320)) % 16.33/16.59 (define @t323 () (forall @t7 (or @t177 @t5))) % 16.33/16.59 (define @t324 () (tptp.neq @t292 tptp.nil)) % 16.33/16.59 (define @t325 () (= tptp.nil @t292)) % 16.33/16.59 (define @t326 () (not @t325)) % 16.33/16.59 (define @t327 () (not (= @t292 tptp.nil))) % 16.33/16.59 (define @t328 () (= @t324 @t327)) % 16.33/16.59 (define @t329 () (not @t41)) % 16.33/16.59 (define @t330 () (or @t294 @t329 @t328)) % 16.33/16.59 (define @t331 () (forall @t316 @t313)) % 16.33/16.59 (define @t332 () (= @t326 @t324)) % 16.33/16.59 (define @t333 () (or @t294 @t329 @t332)) % 16.33/16.59 (define @t334 () (@list false)) % 16.33/16.59 (define @t335 () (@list @t331)) % 16.33/16.59 (define @t336 () (@list false false false)) % 16.33/16.59 (define @t337 () (tptp.neq @t295 tptp.nil)) % 16.33/16.59 (define @t338 () (= tptp.nil @t295)) % 16.33/16.59 (define @t339 () (not @t338)) % 16.33/16.59 (define @t340 () (= @t295 tptp.nil)) % 16.33/16.59 (define @t341 () (not @t340)) % 16.33/16.59 (define @t342 () (= @t337 @t341)) % 16.33/16.59 (define @t343 () (or @t297 @t329 @t342)) % 16.33/16.59 (define @t344 () (= @t339 @t337)) % 16.33/16.59 (define @t345 () (or @t297 @t329 @t344)) % 16.33/16.59 (define @t346 () (@list @t295)) % 16.33/16.59 (define @t347 () (@var "BOUND_VARIABLE_10207" $$unsorted)) % 16.33/16.59 (define @t348 () (@var "BOUND_VARIABLE_10211" $$unsorted)) % 16.33/16.59 (define @t349 () (@var "BOUND_VARIABLE_10209" $$unsorted)) % 16.33/16.59 (define @t350 () (tptp.segmentP (tptp.app (tptp.app @t349 @t2) @t348) @t347)) % 16.33/16.59 (define @t351 () (not (tptp.ssList @t348))) % 16.33/16.59 (define @t352 () (not (tptp.ssList @t349))) % 16.33/16.59 (define @t353 () (not (tptp.segmentP @t2 @t347))) % 16.33/16.59 (define @t354 () (not (tptp.ssList @t347))) % 16.33/16.59 (define @t355 () (or @t354 @t353 @t352 @t351 @t350)) % 16.33/16.59 (define @t356 () (or @t145 @t355)) % 16.33/16.59 (define @t357 () (forall (@list @t2 @t347 @t349 @t348) @t356)) % 16.33/16.59 (define @t358 () (@list @t347 @t349 @t348)) % 16.33/16.59 (define @t359 () (forall @t358 @t356)) % 16.33/16.59 (define @t360 () (forall @t358 @t355)) % 16.33/16.59 (define @t361 () (@var "BOUND_VARIABLE_10188" $$unsorted)) % 16.33/16.59 (define @t362 () (@var "BOUND_VARIABLE_10186" $$unsorted)) % 16.33/16.59 (define @t363 () (or @t145 @t360)) % 16.33/16.59 (define @t364 () (tptp.segmentP (tptp.app (tptp.app @t362 @t2) @t361) @t1)) % 16.33/16.59 (define @t365 () (not (tptp.ssList @t361))) % 16.33/16.59 (define @t366 () (not (tptp.ssList @t362))) % 16.33/16.59 (define @t367 () (not @t24)) % 16.33/16.59 (define @t368 () (or @t177 @t367 @t366 @t365 @t364)) % 16.33/16.59 (define @t369 () (@list @t1 @t362 @t361)) % 16.33/16.59 (define @t370 () (forall @t369 @t368)) % 16.33/16.59 (define @t371 () (or @t366 @t365 @t364)) % 16.33/16.59 (define @t372 () (or @t177 @t367 @t371)) % 16.33/16.59 (define @t373 () (forall @t369 @t372)) % 16.33/16.59 (define @t374 () (@list @t362 @t361)) % 16.33/16.59 (define @t375 () (forall @t374 @t372)) % 16.33/16.59 (define @t376 () (forall @t374 @t371)) % 16.33/16.59 (define @t377 () (@var "BOUND_VARIABLE_10169" $$unsorted)) % 16.33/16.59 (define @t378 () (or @t177 @t367 @t376)) % 16.33/16.59 (define @t379 () (tptp.segmentP (tptp.app @t61 @t377) @t1)) % 16.33/16.59 (define @t380 () (not (tptp.ssList @t377))) % 16.33/16.59 (define @t381 () (or @t213 @t380 @t379)) % 16.33/16.59 (define @t382 () (@list @t12 @t377)) % 16.33/16.59 (define @t383 () (forall @t382 @t381)) % 16.33/16.59 (define @t384 () (or @t177 @t367 @t383)) % 16.33/16.59 (define @t385 () (or @t367 @t383)) % 16.33/16.59 (define @t386 () (or @t380 @t379)) % 16.33/16.59 (define @t387 () (or @t213 @t386)) % 16.33/16.59 (define @t388 () (forall @t382 @t387)) % 16.33/16.59 (define @t389 () (@list @t377)) % 16.33/16.59 (define @t390 () (forall @t389 @t387)) % 16.33/16.59 (define @t391 () (forall @t389 @t386)) % 16.33/16.59 (define @t392 () (or @t213 @t391)) % 16.33/16.59 (define @t393 () (or @t249 @t64)) % 16.33/16.59 (define @t394 () (forall @t14 @t393)) % 16.33/16.59 (define @t395 () (or @t213 @t394)) % 16.33/16.59 (define @t396 () (forall @t16 @t395)) % 16.33/16.59 (define @t397 () (or @t367 @t396)) % 16.33/16.59 (define @t398 () (or @t367 @t395)) % 16.33/16.59 (define @t399 () (or @t213 @t367 @t394)) % 16.33/16.59 (define @t400 () (or @t367 @t394)) % 16.33/16.59 (define @t401 () (or @t367 @t393)) % 16.33/16.59 (define @t402 () (or @t249 @t367 @t64)) % 16.33/16.59 (define @t403 () (tptp.segmentP @t295 @t295)) % 16.33/16.59 (define @t404 () (or @t297 @t403)) % 16.33/16.59 (define @t405 () (@list false false)) % 16.33/16.59 (define @t406 () (tptp.app @t298 tptp.nil)) % 16.33/16.59 (define @t407 () (tptp.segmentP @t406 @t295)) % 16.33/16.59 (define @t408 () (not @t403)) % 16.33/16.59 (define @t409 () (or @t297 @t297 @t408 @t294 @t329 @t407)) % 16.33/16.59 (define @t410 () (@list false false false false false)) % 16.33/16.59 (define @t411 () (@var "BOUND_VARIABLE_10573" $$unsorted)) % 16.33/16.59 (define @t412 () (@var "BOUND_VARIABLE_10571" $$unsorted)) % 16.33/16.59 (define @t413 () (= (tptp.app (tptp.app @t2 @t412) @t411) (tptp.app @t2 (tptp.app @t412 @t411)))) % 16.33/16.59 (define @t414 () (not (tptp.ssList @t411))) % 16.33/16.59 (define @t415 () (not (tptp.ssList @t412))) % 16.33/16.59 (define @t416 () (or @t415 @t414 @t413)) % 16.33/16.59 (define @t417 () (or @t145 @t416)) % 16.33/16.59 (define @t418 () (forall (@list @t2 @t412 @t411) @t417)) % 16.33/16.59 (define @t419 () (@list @t412 @t411)) % 16.33/16.59 (define @t420 () (forall @t419 @t417)) % 16.33/16.59 (define @t421 () (forall @t419 @t416)) % 16.33/16.59 (define @t422 () (@var "BOUND_VARIABLE_10553" $$unsorted)) % 16.33/16.59 (define @t423 () (or @t145 @t421)) % 16.33/16.59 (define @t424 () (= (tptp.app @t48 @t422) (tptp.app @t2 (tptp.app @t1 @t422)))) % 16.33/16.59 (define @t425 () (not (tptp.ssList @t422))) % 16.33/16.59 (define @t426 () (or @t177 @t425 @t424)) % 16.33/16.59 (define @t427 () (@list @t1 @t422)) % 16.33/16.59 (define @t428 () (forall @t427 @t426)) % 16.33/16.59 (define @t429 () (or @t425 @t424)) % 16.33/16.59 (define @t430 () (or @t177 @t429)) % 16.33/16.59 (define @t431 () (forall @t427 @t430)) % 16.33/16.59 (define @t432 () (@list @t422)) % 16.33/16.59 (define @t433 () (forall @t432 @t430)) % 16.33/16.59 (define @t434 () (forall @t432 @t429)) % 16.33/16.59 (define @t435 () (or @t177 @t434)) % 16.33/16.59 (define @t436 () (forall @t16 (or @t213 @t79))) % 16.33/16.59 (define @t437 () (tptp.app @t295 tptp.nil)) % 16.33/16.59 (define @t438 () (tptp.app @t292 @t437)) % 16.33/16.59 (define @t439 () (= @t406 @t438)) % 16.33/16.59 (define @t440 () (or @t294 @t297 @t329 @t439)) % 16.33/16.59 (define @t441 () (@list false false false false)) % 16.33/16.59 (define @t442 () (= @t2 @t92)) % 16.33/16.59 (define @t443 () (= @t295 @t437)) % 16.33/16.59 (define @t444 () (or @t297 @t443)) % 16.33/16.59 (define @t445 () (tptp.segmentP @t298 @t295)) % 16.33/16.59 (define @t446 () (tptp.app tptp.nil @t295)) % 16.33/16.59 (define @t447 () (tptp.app @t446 @t292)) % 16.33/16.59 (define @t448 () (tptp.segmentP @t447 @t295)) % 16.33/16.59 (define @t449 () (or @t297 @t297 @t408 @t329 @t294 @t448)) % 16.33/16.59 (define @t450 () (= @t2 @t50)) % 16.33/16.59 (define @t451 () (= @t295 @t446)) % 16.33/16.59 (define @t452 () (or @t297 @t451)) % 16.33/16.59 (define @t453 () (tptp.segmentP @t299 @t295)) % 16.33/16.59 (define @t454 () (not @t445)) % 16.33/16.59 (define @t455 () (not @t453)) % 16.33/16.59 (define @t456 () (not @t337)) % 16.33/16.59 (define @t457 () (or @t297 @t456 @t455 @t454)) % 16.33/16.59 (define @t458 () (not @t344)) % 16.33/16.59 (define @t459 () (@list true false)) % 16.33/16.59 (define @t460 () (= @t2 tptp.nil)) % 16.33/16.59 (define @t461 () (@var "BOUND_VARIABLE_10601" $$unsorted)) % 16.33/16.59 (define @t462 () (and (= @t461 tptp.nil) @t460)) % 16.33/16.59 (define @t463 () (= tptp.nil (tptp.app @t2 @t461))) % 16.33/16.59 (define @t464 () (= @t463 @t462)) % 16.33/16.59 (define @t465 () (not (tptp.ssList @t461))) % 16.33/16.59 (define @t466 () (or @t145 @t465 @t464)) % 16.33/16.59 (define @t467 () (or @t465 @t464)) % 16.33/16.59 (define @t468 () (or @t145 @t467)) % 16.33/16.59 (define @t469 () (@list @t2 @t461)) % 16.33/16.59 (define @t470 () (forall @t469 @t468)) % 16.33/16.59 (define @t471 () (@list @t461)) % 16.33/16.59 (define @t472 () (forall @t471 @t468)) % 16.33/16.59 (define @t473 () (forall @t471 @t467)) % 16.33/16.59 (define @t474 () (or @t145 @t473)) % 16.33/16.59 (define @t475 () (= @t86 (and (= @t1 tptp.nil) @t460))) % 16.33/16.59 (define @t476 () (forall @t7 (or @t177 @t475))) % 16.33/16.59 (define @t477 () (and @t325 @t340)) % 16.33/16.59 (define @t478 () (= tptp.nil @t299)) % 16.33/16.59 (define @t479 () (= @t478 @t477)) % 16.33/16.59 (define @t480 () (or @t297 @t294 @t479)) % 16.33/16.59 (define @t481 () (forall @t469 (or @t145 @t465 (= @t463 (and (= tptp.nil @t461) @t460))))) % 16.33/16.59 (define @t482 () (and @t325 @t338)) % 16.33/16.59 (define @t483 () (= @t478 @t482)) % 16.33/16.59 (define @t484 () (or @t297 @t294 @t483)) % 16.33/16.59 (define @t485 () (@list @t481)) % 16.33/16.59 (define @t486 () (not (= @t299 tptp.nil))) % 16.33/16.59 (define @t487 () (= @t302 @t486)) % 16.33/16.59 (define @t488 () (or @t305 @t329 @t487)) % 16.33/16.59 (define @t489 () (not @t478)) % 16.33/16.59 (define @t490 () (= @t302 @t489)) % 16.33/16.59 (define @t491 () (or @t305 @t329 @t490)) % 16.33/16.59 (define @t492 () (not @t482)) % 16.33/16.59 (define @t493 () (not @t332)) % 16.33/16.59 (define @t494 () (tptp.segmentP @t292 @t292)) % 16.33/16.59 (define @t495 () (or @t294 @t494)) % 16.33/16.59 (define @t496 () (tptp.app tptp.nil @t292)) % 16.33/16.59 (define @t497 () (= @t292 @t496)) % 16.33/16.59 (define @t498 () (or @t294 @t497)) % 16.33/16.59 (define @t499 () (tptp.app tptp.nil tptp.nil)) % 16.33/16.59 (define @t500 () (= tptp.nil @t499)) % 16.33/16.59 (define @t501 () (= tptp.nil tptp.nil)) % 16.33/16.59 (define @t502 () (and @t501 @t501)) % 16.33/16.59 (define @t503 () (= @t500 @t502)) % 16.33/16.59 (define @t504 () (or @t329 @t329 @t503)) % 16.33/16.59 (define @t505 () (or @t329 @t329 @t500)) % 16.33/16.59 (define @t506 () (tptp.app @t499 @t292)) % 16.33/16.59 (define @t507 () (= @t292 (tptp.app @t292 tptp.nil))) % 16.33/16.59 (define @t508 () (or @t294 @t507)) % 16.33/16.59 (define @t509 () (tptp.segmentP @t298 @t292)) % 16.33/16.59 (define @t510 () (= @t506 (tptp.app tptp.nil @t496))) % 16.33/16.59 (define @t511 () (or @t329 @t329 @t294 @t510)) % 16.33/16.59 (define @t512 () (tptp.segmentP @t299 @t292)) % 16.33/16.59 (define @t513 () (not @t509)) % 16.33/16.59 (define @t514 () (not @t512)) % 16.33/16.59 (define @t515 () (not @t324)) % 16.33/16.59 (define @t516 () (or @t294 @t515 @t514 @t513)) % 16.33/16.59 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 16.33/16.59 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 16.33/16.59 (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))))))))))) % 16.33/16.59 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 16.33/16.59 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 16.33/16.59 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 16.33/16.59 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 16.33/16.59 (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))))))))))))))))) % 16.33/16.59 (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)))))))))))))))) % 16.33/16.59 (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))))))))))))))))) % 16.33/16.59 (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))))))))))))))) % 16.33/16.59 (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))))))))))))))) % 16.33/16.59 (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)))))))))))))))) % 16.33/16.59 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 16.33/16.59 (assume @p15 @t39) % 16.33/16.59 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t40)))))) % 16.33/16.59 (assume @p17 @t41) % 16.33/16.59 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t40 @t2))))))) % 16.33/16.59 (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) @t42))))))))))) % 16.33/16.59 (assume @p20 (forall @t9 (=> @t17 (or @t44 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t43 @t2))))))))) % 16.33/16.59 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t40))))))) % 16.33/16.59 (assume @p22 (forall @t9 (=> @t17 (=> @t46 (tptp.ssItem @t45))))) % 16.33/16.59 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t40) @t1)))))) % 16.33/16.59 (assume @p24 (forall @t9 (=> @t17 (=> @t46 (tptp.ssList @t47))))) % 16.33/16.59 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t40) @t2)))))) % 16.33/16.59 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t48)))))) % 16.33/16.59 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t49) (tptp.app @t43 @t2))))))))) % 16.33/16.59 (assume @p28 @t52) % 16.33/16.59 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t54 @t53) @t3)))))) % 16.33/16.59 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t54 @t26) (tptp.leq @t2 @t12))))))))) % 16.33/16.59 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 16.33/16.59 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t55 @t53)))))) % 16.33/16.59 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t57 (not @t56))))))) % 16.33/16.59 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t57 @t35) @t58)))))))) % 16.33/16.59 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t59 @t56)))))) % 16.33/16.59 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t60))))))))) % 16.33/16.59 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t60))))))))) % 16.33/16.59 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 16.33/16.59 (assume @p39 (not (tptp.singletonP tptp.nil))) % 16.33/16.59 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 16.33/16.59 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 16.33/16.59 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 16.33/16.59 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 16.33/16.59 (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)))))))))))) % 16.33/16.59 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 16.33/16.59 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t44)))) % 16.33/16.59 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 16.33/16.59 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 16.33/16.59 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 16.33/16.59 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t61 @t1))))))))) % 16.33/16.59 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 16.33/16.59 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t44)))) % 16.33/16.59 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t24 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 16.33/16.59 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t24 (tptp.segmentP @t1 @t2)) @t3)))))) % 16.33/16.59 (assume @p55 @t63) % 16.33/16.59 (assume @p56 @t72) % 16.33/16.59 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 16.33/16.59 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t44)))) % 16.33/16.59 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t73)))) % 16.33/16.59 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 16.33/16.59 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t73)))) % 16.33/16.59 (assume @p62 (tptp.totalorderP tptp.nil)) % 16.33/16.59 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t73)))) % 16.33/16.59 (assume @p64 (tptp.strictorderP tptp.nil)) % 16.33/16.59 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t73)))) % 16.33/16.59 (assume @p66 (tptp.totalorderedP tptp.nil)) % 16.33/16.59 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t77) (or @t75 (and @t76 (tptp.totalorderedP @t1) (tptp.leq @t2 @t74))))))))) % 16.33/16.59 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t73)))) % 16.33/16.59 (assume @p69 (tptp.strictorderedP tptp.nil)) % 16.33/16.59 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t77) (or @t75 (and @t76 (tptp.strictorderedP @t1) (tptp.lt @t2 @t74))))))))) % 16.33/16.59 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t73)))) % 16.33/16.59 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 16.33/16.59 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t73)))) % 16.33/16.59 (assume @p74 (tptp.equalelemsP tptp.nil)) % 16.33/16.59 (assume @p75 (forall @t9 (=> @t17 (=> @t46 (exists @t7 (and @t6 (= @t45 @t1))))))) % 16.33/16.59 (assume @p76 (forall @t9 (=> @t17 (=> @t46 (exists @t7 (and @t21 (= @t47 @t1))))))) % 16.33/16.59 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t76 @t46 (= @t74 @t45) (= (tptp.tl @t1) @t47)) @t42)))))) % 16.33/16.59 (assume @p78 (forall @t9 (=> @t17 (=> @t46 (= (tptp.cons @t45 @t47) @t2))))) % 16.33/16.59 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t48) @t78)))))))) % 16.33/16.59 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t49) @t78)))))))) % 16.33/16.59 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t40 (tptp.app @t18 @t2))))))) % 16.33/16.59 (assume @p82 @t84) % 16.33/16.59 (assume @p83 @t91) % 16.33/16.59 (assume @p84 @t94) % 16.33/16.59 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t46 (= (tptp.hd @t48) @t45))))))) % 16.33/16.59 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t46 (= (tptp.tl @t48) (tptp.app @t47 @t1)))))))) % 16.33/16.59 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t55 (tptp.geq @t1 @t2)) @t3)))))) % 16.33/16.59 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t55 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 16.33/16.59 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 16.33/16.59 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 16.33/16.59 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t54 @t35) @t58)))))))) % 16.33/16.59 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t54 (or @t3 @t57))))))) % 16.33/16.59 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t57 (and @t4 @t54))))))) % 16.33/16.59 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t59 (not (tptp.gt @t1 @t2)))))))) % 16.33/16.59 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t59 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 16.33/16.59 (assume @p96 @t124) % 16.33/16.59 (assume @p97 true) % 16.33/16.59 (step @p98 :rule aci_norm :args ((= (or @t137 @t136 @t135 @t134 @t128 @t126 false) @t138))) % 16.33/16.59 (step @p99 :rule evaluate :args ((not true))) % 16.33/16.59 (step @p100 :rule eq-refl :args (@t129)) % 16.33/16.59 (step @p101 :rule cong :premises (@p100) :args (@t139)) % 16.33/16.59 (step @p102 :rule trans :premises (@p101 @p99)) % 16.33/16.59 (step @p103 :rule refl :args (@t126)) % 16.33/16.59 (step @p104 :rule refl :args (@t128)) % 16.33/16.59 (step @p105 :rule refl :args (@t134)) % 16.33/16.59 (step @p106 :rule refl :args (@t135)) % 16.33/16.59 (step @p107 :rule refl :args (@t136)) % 16.33/16.59 (step @p108 :rule refl :args (@t137)) % 16.33/16.59 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106 @p105 @p104 @p103 @p102) :args (@t140)) % 16.33/16.59 (step @p110 :rule trans :premises (@p109 @p98)) % 16.33/16.59 (step @p111 :rule cong :premises (@p110) :args ((forall @t141 @t140))) % 16.33/16.59 (step @p112 :rule quant-var-elim-eq :args ((= (forall @t9 @t146) @t140))) % 16.33/16.59 (step @p113 :rule aci_norm :args ((= @t147 @t146))) % 16.33/16.59 (step @p114 :rule cong :premises (@p113) :args (@t148)) % 16.33/16.59 (step @p115 :rule trans :premises (@p114 @p112)) % 16.33/16.59 (step @p116 :rule cong :premises (@p115) :args (@t149)) % 16.33/16.59 (step @p117 :rule quant-merge-prenex :args ((= @t149 @t150))) % 16.33/16.59 (step @p118 :rule symm :premises (@p117)) % 16.33/16.59 (step @p119 :rule quant_var_reordering :args ((= (forall @t151 @t147) @t150))) % 16.33/16.59 (step @p120 :rule trans :premises (@p119 @p118 @p116)) % 16.33/16.59 (step @p121 :rule trans :premises (@p120 @p111)) % 16.33/16.59 (step @p122 :rule aci_norm :args ((= @t153 @t147))) % 16.33/16.59 (step @p123 :rule cong :premises (@p122) :args (@t154)) % 16.33/16.59 (step @p124 :rule trans :premises (@p123 @p121)) % 16.33/16.59 (step @p125 :rule quant-merge-prenex :args ((= (forall @t9 @t155) @t154))) % 16.33/16.59 (step @p126 :rule alpha_equiv :args (@t156 (@list @t127 @t125) @t159)) % 16.33/16.59 (step @p127 :rule refl :args (@t145)) % 16.33/16.59 (step @p128 :rule nary_cong :premises (@p127 @p126) :args (@t160)) % 16.33/16.59 (step @p129 :rule quant-miniscope-or :args ((= @t155 @t160))) % 16.33/16.59 (step @p130 :rule trans :premises (@p129 @p128)) % 16.33/16.59 (step @p131 :rule symm :premises (@p130)) % 16.33/16.59 (step @p132 :rule cong :premises (@p131) :args ((forall @t9 @t170))) % 16.33/16.59 (step @p133 :rule trans :premises (@p132 @p125)) % 16.33/16.59 (step @p134 :rule trans :premises (@p133 @p124)) % 16.33/16.59 (step @p135 :rule aci_norm :args ((= (or @t145 @t170) @t170))) % 16.33/16.59 (step @p136 :rule bool-impl-elim :args (@t17 @t170)) % 16.33/16.59 (step @p137 :rule trans :premises (@p136 @p135)) % 16.33/16.59 (step @p138 :rule cong :premises (@p137) :args ((forall @t9 (=> @t17 @t170)))) % 16.33/16.59 (step @p139 :rule trans :premises (@p138 @p134)) % 16.33/16.59 (step @p140 :rule aci_norm :args ((= (or @t167 @t166 @t165 @t163 @t162 false @t161) @t168))) % 16.33/16.59 (step @p141 :rule refl :args (@t161)) % 16.33/16.59 (step @p142 :rule eq-refl :args (@t164)) % 16.33/16.59 (step @p143 :rule cong :premises (@p142) :args (@t171)) % 16.33/16.59 (step @p144 :rule trans :premises (@p143 @p99)) % 16.33/16.59 (step @p145 :rule refl :args (@t162)) % 16.33/16.59 (step @p146 :rule refl :args (@t163)) % 16.33/16.59 (step @p147 :rule refl :args (@t165)) % 16.33/16.59 (step @p148 :rule refl :args (@t166)) % 16.33/16.59 (step @p149 :rule refl :args (@t167)) % 16.33/16.59 (step @p150 :rule nary_cong :premises (@p149 @p148 @p147 @p146 @p145 @p144 @p141) :args (@t172)) % 16.33/16.59 (step @p151 :rule trans :premises (@p150 @p140)) % 16.33/16.59 (step @p152 :rule cong :premises (@p151) :args ((forall @t169 @t172))) % 16.33/16.59 (step @p153 :rule quant-var-elim-eq :args ((= (forall @t7 @t178) @t172))) % 16.33/16.59 (step @p154 :rule aci_norm :args ((= @t179 @t178))) % 16.33/16.59 (step @p155 :rule cong :premises (@p154) :args (@t180)) % 16.33/16.59 (step @p156 :rule trans :premises (@p155 @p153)) % 16.33/16.59 (step @p157 :rule cong :premises (@p156) :args (@t181)) % 16.33/16.59 (step @p158 :rule quant-merge-prenex :args ((= 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instantiate :premises (@p540) :args ((@list @t295 @t295 tptp.nil @t292))) % 16.33/16.59 (step @p615 :rule cnf_or_pos :args (@t449)) % 16.33/16.59 (step @p616 :rule factoring :premises (@p615)) % 16.33/16.59 (step @p617 :rule reordering :premises (@p616) :args ((or @t329 @t297 @t294 @t408 @t448 (not @t449)))) % 16.33/16.59 (step @p618 :rule chain_m_resolution :premises (@p617 @p17 @p460 @p390 @p548 @p614) :args (@t448 @t410 (@list @t41 @t296 @t293 @t403 @t449))) % 16.33/16.59 (step @p619 :rule true_intro :premises (@p618)) % 16.33/16.59 (step @p620 :rule bool-impl-elim :args (@t17 @t450)) % 16.33/16.59 (step @p621 :rule cong :premises (@p620) :args ((forall @t9 (=> @t17 @t450)))) % 16.33/16.59 (step @p622 :rule eq-symm :args (@t50 @t2)) % 16.33/16.59 (step @p623 :rule cong :premises (@p377 @p622) :args (@t51)) % 16.33/16.59 (step @p624 :rule cong :premises (@p623) :args (@t52)) % 16.33/16.59 (step @p625 :rule trans :premises (@p624 @p621)) % 16.33/16.59 (step @p626 :rule eq_resolve 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:rule bool-double-not-elim :args (@t338)) % 16.33/16.59 (step @p639 :rule refl :args (@t458)) % 16.33/16.59 (step @p640 :rule nary_cong :premises (@p639 @p638 @p442) :args ((or @t458 (not @t339) @t337))) % 16.33/16.59 (step @p641 :rule cnf_equiv_pos1 :args (@t344)) % 16.33/16.59 (step @p642 :rule eq_resolve :premises (@p641 @p640)) % 16.33/16.59 (step @p643 :rule reordering :premises (@p642) :args ((or @t338 @t337 @t458))) % 16.33/16.59 (step @p644 :rule chain_m_resolution :premises (@p643 @p637 @p463) :args (@t338 @t459 (@list @t337 @t344))) % 16.33/16.59 (step @p645 :rule refl :args (@t460)) % 16.33/16.59 (step @p646 :rule eq-symm :args (@t461 tptp.nil)) % 16.33/16.59 (step @p647 :rule nary_cong :premises (@p646 @p645) :args (@t462)) % 16.33/16.59 (step @p648 :rule refl :args (@t463)) % 16.33/16.59 (step @p649 :rule cong :premises (@p648 @p647) :args (@t464)) % 16.33/16.59 (step @p650 :rule refl :args (@t465)) % 16.33/16.59 (step @p651 :rule nary_cong :premises (@p178 @p650 @p649) :args (@t466)) % 16.33/16.59 (step @p652 :rule aci_norm :args ((= @t468 @t466))) % 16.33/16.59 (step @p653 :rule trans :premises (@p652 @p651)) % 16.33/16.59 (step @p654 :rule cong :premises (@p653) :args (@t470)) % 16.33/16.59 (step @p655 :rule quant-merge-prenex :args ((= (forall @t9 @t472) @t470))) % 16.33/16.59 (step @p656 :rule alpha_equiv :args (@t473 (@list @t461) @t321)) % 16.33/16.59 (step @p657 :rule nary_cong :premises (@p127 @p656) :args (@t474)) % 16.33/16.59 (step @p658 :rule quant-miniscope-or :args ((= @t472 @t474))) % 16.33/16.59 (step @p659 :rule trans :premises (@p658 @p657)) % 16.33/16.59 (step @p660 :rule symm :premises (@p659)) % 16.33/16.59 (step @p661 :rule cong :premises (@p660) :args ((forall @t9 (or @t145 @t476)))) % 16.33/16.59 (step @p662 :rule trans :premises (@p661 @p655)) % 16.33/16.59 (step @p663 :rule trans :premises (@p662 @p654)) % 16.33/16.59 (step @p664 :rule bool-impl-elim :args (@t17 @t476)) % 16.33/16.59 (step @p665 :rule cong :premises (@p664) :args ((forall @t9 (=> @t17 @t476)))) % 16.33/16.59 (step @p666 :rule trans :premises (@p665 @p663)) % 16.33/16.59 (step @p667 :rule bool-impl-elim :args (@t21 @t475)) % 16.33/16.59 (step @p668 :rule cong :premises (@p667) :args ((forall @t7 (=> @t21 @t475)))) % 16.33/16.59 (step @p669 :rule eq-symm :args (tptp.nil @t2)) % 16.33/16.59 (step @p670 :rule eq-symm :args (tptp.nil @t1)) % 16.33/16.59 (step @p671 :rule nary_cong :premises (@p670 @p669) :args (@t85)) % 16.33/16.59 (step @p672 :rule refl :args (@t86)) % 16.33/16.59 (step @p673 :rule cong :premises (@p672 @p671) :args (@t87)) % 16.33/16.59 (step @p674 :rule cong :premises (@p373 @p673) :args (@t88)) % 16.33/16.59 (step @p675 :rule cong :premises (@p674) :args (@t89)) % 16.33/16.59 (step @p676 :rule trans :premises (@p675 @p668)) % 16.33/16.59 (step @p677 :rule cong :premises (@p377 @p676) :args (@t90)) % 16.33/16.59 (step @p678 :rule cong :premises (@p677) :args (@t91)) % 16.33/16.59 (step @p679 :rule trans :premises (@p678 @p666)) % 16.33/16.59 (step @p680 :rule eq_resolve :premises (@p83 @p679)) % 16.33/16.59 (step @p681 :rule refl :args (@t325)) % 16.33/16.59 (step @p682 :rule nary_cong :premises (@p681 @p440) :args (@t477)) % 16.33/16.59 (step @p683 :rule refl :args (@t478)) % 16.33/16.59 (step @p684 :rule cong :premises (@p683 @p682) :args (@t479)) % 16.33/16.59 (step @p685 :rule nary_cong :premises (@p445 @p425 @p684) :args (@t480)) % 16.33/16.59 (step @p686 :rule refl :args (@t481)) % 16.33/16.59 (step @p687 :rule cong :premises (@p686 @p685) :args ((=> @t481 @t480))) % 16.33/16.59 (assume-push @p815 @t481) % 16.33/16.59 (step @p689 :rule instantiate :premises (@p680) :args ((@list @t295 @t292))) % 16.33/16.59 (step-pop @p816 :rule scope :premises (@p689)) % 16.33/16.59 (step @p690 :rule process_scope :premises (@p816) :args (@t480)) % 16.33/16.59 (step @p692 :rule eq_resolve :premises (@p690 @p687)) % 16.33/16.59 (step @p693 :rule implies_elim :premises (@p692)) % 16.33/16.59 (step @p694 :rule chain_m_resolution :premises (@p693 @p680) :args (@t484 @t334 @t485)) % 16.33/16.59 (step @p695 :rule cnf_or_pos :args (@t484)) % 16.33/16.59 (step @p696 :rule reordering :premises (@p695) :args ((or @t297 @t294 @t483 (not @t484)))) % 16.33/16.59 (step @p697 :rule chain_m_resolution :premises (@p696 @p460 @p390 @p694) :args (@t483 @t336 (@list @t296 @t293 @t484))) % 16.33/16.59 (step @p698 :rule eq-symm :args (@t299 tptp.nil)) % 16.33/16.59 (step @p699 :rule cong :premises (@p698) :args (@t486)) % 16.33/16.59 (step @p700 :rule refl :args (@t302)) % 16.33/16.59 (step @p701 :rule cong :premises (@p700 @p699) :args (@t487)) % 16.33/16.59 (step @p702 :rule refl :args (@t305)) % 16.33/16.59 (step @p703 :rule nary_cong :premises (@p702 @p424 @p701) :args (@t488)) % 16.33/16.59 (step @p704 :rule cong :premises (@p427 @p703) :args ((=> @t331 @t488))) % 16.33/16.59 (assume-push @p817 @t331) % 16.33/16.59 (step @p706 :rule instantiate :premises (@p417) :args ((@list @t299 tptp.nil))) % 16.33/16.59 (step-pop @p818 :rule scope :premises (@p706)) % 16.33/16.59 (step @p707 :rule process_scope :premises (@p818) :args (@t488)) % 16.33/16.59 (step @p709 :rule eq_resolve :premises (@p707 @p704)) % 16.33/16.59 (step @p710 :rule implies_elim :premises (@p709)) % 16.33/16.59 (step @p711 :rule chain_m_resolution :premises (@p710 @p417) :args (@t491 @t334 @t335)) % 16.33/16.59 (step @p712 :rule bool-double-not-elim :args (@t304)) % 16.33/16.59 (step @p713 :rule nary_cong :premises (@p385 @p712) :args ((or @t306 (not @t305)))) % 16.33/16.59 (step @p714 :rule cnf_or_neg :args (@t306 1)) % 16.33/16.59 (step @p715 :rule eq_resolve :premises (@p714 @p713)) % 16.33/16.59 (step @p716 :rule reordering :premises (@p715) :args ((or @t304 @t306))) % 16.33/16.59 (step @p717 :rule chain_m_resolution :premises (@p716 @p383) :args (@t304 @t307 @t308)) % 16.33/16.59 (step @p718 :rule cnf_or_pos :args (@t491)) % 16.33/16.59 (step @p719 :rule reordering :premises (@p718) :args ((or @t329 @t305 @t490 (not @t491)))) % 16.33/16.59 (step @p720 :rule chain_m_resolution :premises (@p719 @p17 @p717 @p711) :args (@t490 @t336 (@list @t41 @t304 @t491))) % 16.33/16.59 (step @p721 :rule bool-double-not-elim :args (@t302)) % 16.33/16.59 (step @p722 :rule nary_cong :premises (@p385 @p721) :args ((or @t306 (not @t303)))) % 16.33/16.59 (step @p723 :rule cnf_or_neg :args (@t306 2)) % 16.33/16.59 (step @p724 :rule eq_resolve :premises (@p723 @p722)) % 16.33/16.59 (step @p725 :rule reordering :premises (@p724) :args ((or @t302 @t306))) % 16.33/16.59 (step @p726 :rule chain_m_resolution :premises (@p725 @p383) :args (@t302 @t307 @t308)) % 16.33/16.59 (step @p727 :rule cnf_equiv_pos1 :args (@t490)) % 16.33/16.59 (step @p728 :rule reordering :premises (@p727) :args ((or @t303 @t489 (not @t490)))) % 16.33/16.59 (step @p729 :rule chain_m_resolution :premises (@p728 @p726 @p720) :args (@t489 @t405 (@list @t302 @t490))) % 16.33/16.59 (step @p730 :rule cnf_equiv_pos2 :args (@t483)) % 16.33/16.59 (step @p731 :rule reordering :premises (@p730) :args ((or @t478 @t492 (not @t483)))) % 16.33/16.59 (step @p732 :rule chain_m_resolution :premises (@p731 @p729 @p697) :args (@t492 @t459 (@list @t478 @t483))) % 16.33/16.59 (step @p733 :rule cnf_and_neg :args (@t482)) % 16.33/16.59 (step @p734 :rule chain_m_resolution :premises (@p733 @p732 @p644) :args (@t326 @t459 (@list @t482 @t338))) % 16.33/16.59 (step @p735 :rule bool-double-not-elim :args (@t325)) % 16.33/16.59 (step @p736 :rule refl :args (@t493)) % 16.33/16.59 (step @p737 :rule nary_cong :premises (@p736 @p735 @p421) :args ((or @t493 (not @t326) @t324))) % 16.33/16.59 (step @p738 :rule cnf_equiv_pos1 :args (@t332)) % 16.33/16.59 (step @p739 :rule eq_resolve :premises (@p738 @p737)) % 16.33/16.59 (step @p740 :rule reordering :premises (@p739) :args ((or @t325 @t324 @t493))) % 16.33/16.59 (step @p741 :rule chain_m_resolution :premises (@p740 @p734 @p438) :args (@t324 @t459 (@list @t325 @t332))) % 16.33/16.59 (step @p742 :rule instantiate :premises (@p544) :args (@t309)) % 16.33/16.59 (step @p743 :rule cnf_or_pos :args (@t495)) % 16.33/16.59 (step @p744 :rule reordering :premises (@p743) :args ((or @t294 @t494 (not @t495)))) % 16.33/16.59 (step @p745 :rule chain_m_resolution :premises (@p744 @p390 @p742) :args (@t494 @t405 (@list @t293 @t495))) % 16.33/16.59 (step @p746 :rule true_intro :premises (@p745)) % 16.33/16.59 (step @p747 :rule instantiate :premises (@p626) :args (@t309)) % 16.33/16.59 (step @p748 :rule cnf_or_pos :args (@t498)) % 16.33/16.59 (step @p749 :rule reordering :premises (@p748) :args ((or @t294 @t497 (not @t498)))) % 16.33/16.59 (step @p750 :rule chain_m_resolution :premises (@p749 @p390 @p747) :args (@t497 @t405 (@list @t293 @t498))) % 16.33/16.59 (step @p751 :rule symm :premises (@p750)) % 16.33/16.59 (step @p752 :rule bool-eq-true :args (@t500)) % 16.33/16.59 (step @p753 :rule eq-refl :args (tptp.nil)) % 16.33/16.59 (step @p754 :rule aci_norm :args ((= @t502 @t501))) % 16.33/16.59 (step @p755 :rule trans :premises (@p754 @p753)) % 16.33/16.59 (step @p756 :rule refl :args (@t500)) % 16.33/16.59 (step @p757 :rule cong :premises (@p756 @p755) :args (@t503)) % 16.33/16.59 (step @p758 :rule trans :premises (@p757 @p752)) % 16.33/16.59 (step @p759 :rule nary_cong :premises (@p424 @p424 @p758) :args (@t504)) % 16.33/16.59 (step @p760 :rule cong :premises (@p686 @p759) :args ((=> @t481 @t504))) % 16.33/16.59 (assume-push @p819 @t481) % 16.33/16.59 (step @p762 :rule instantiate :premises (@p680) :args ((@list tptp.nil tptp.nil))) % 16.33/16.59 (step-pop @p820 :rule scope :premises (@p762)) % 16.33/16.59 (step @p763 :rule process_scope :premises (@p820) :args (@t504)) % 16.33/16.59 (step @p765 :rule eq_resolve :premises (@p763 @p760)) % 16.33/16.59 (step @p766 :rule implies_elim :premises (@p765)) % 16.33/16.59 (step @p767 :rule chain_m_resolution :premises (@p766 @p680) :args (@t505 @t334 @t485)) % 16.33/16.59 (step @p768 :rule cnf_or_pos :args (@t505)) % 16.33/16.59 (step @p769 :rule factoring :premises (@p768)) % 16.33/16.59 (step @p770 :rule reordering :premises (@p769) :args ((or @t329 @t500 (not @t505)))) % 16.33/16.59 (step @p771 :rule chain_m_resolution :premises (@p770 @p17 @p767) :args (@t500 @t405 (@list @t41 @t505))) % 16.33/16.59 (step @p772 :rule symm :premises (@p771)) % 16.33/16.59 (step @p773 :rule cong :premises (@p772 @p608) :args (@t506)) % 16.33/16.59 (step @p774 :rule trans :premises (@p773 @p751)) % 16.33/16.59 (step @p775 :rule symm :premises (@p773)) % 16.33/16.59 (step @p776 :rule instantiate :premises (@p603) :args (@t309)) % 16.33/16.59 (step @p777 :rule cnf_or_pos :args (@t508)) % 16.33/16.59 (step @p778 :rule reordering :premises (@p777) :args ((or @t294 @t507 (not @t508)))) % 16.33/16.59 (step @p779 :rule chain_m_resolution :premises (@p778 @p390 @p776) :args (@t507 @t405 (@list @t293 @t508))) % 16.33/16.59 (step @p780 :rule symm :premises (@p779)) % 16.33/16.59 (step @p781 :rule symm :premises (@p644)) % 16.33/16.59 (step @p782 :rule symm :premises (@p607)) % 16.33/16.59 (step @p783 :rule trans :premises (@p782 @p781)) % 16.33/16.59 (step @p784 :rule cong :premises (@p608 @p783) :args (@t438)) % 16.33/16.59 (step @p785 :rule trans :premises (@p595 @p784 @p780 @p750 @p775)) % 16.33/16.59 (step @p786 :rule trans :premises (@p610 @p785 @p774)) % 16.33/16.59 (step @p787 :rule cong :premises (@p786 @p608) :args (@t509)) % 16.33/16.59 (step @p788 :rule trans :premises (@p787 @p746)) % 16.33/16.59 (step @p789 :rule true_elim :premises (@p788)) % 16.33/16.59 (step @p790 :rule symm :premises (@p610)) % 16.33/16.59 (step @p791 :rule symm :premises (@p785)) % 16.33/16.59 (step @p792 :rule instantiate :premises (@p591) :args ((@list tptp.nil tptp.nil @t292))) % 16.33/16.59 (step @p793 :rule cnf_or_pos :args (@t511)) % 16.33/16.59 (step @p794 :rule factoring :premises (@p793)) % 16.33/16.59 (step @p795 :rule reordering :premises (@p794) :args ((or @t329 @t294 @t510 (not @t511)))) % 16.33/16.59 (step @p796 :rule chain_m_resolution :premises (@p795 @p17 @p390 @p792) :args (@t510 @t336 (@list @t41 @t293 @t511))) % 16.33/16.59 (step @p797 :rule symm :premises (@p796)) % 16.33/16.59 (step @p798 :rule trans :premises (@p609 @p784 @p780 @p750)) % 16.33/16.59 (step @p799 :rule cong :premises (@p781 @p798) :args ((tptp.app @t295 @t298))) % 16.33/16.59 (step @p800 :rule symm :premises (@p786)) % 16.33/16.59 (step @p801 :rule symm :premises (@p630)) % 16.33/16.59 (step @p802 :rule cong :premises (@p801 @p800) :args (@t447)) % 16.33/16.59 (step @p803 :rule trans :premises (@p802 @p799 @p797)) % 16.33/16.59 (step @p804 :rule trans :premises (@p631 @p803 @p791 @p790)) % 16.33/16.59 (step @p805 :rule cong :premises (@p804 @p608) :args (@t512)) % 16.33/16.59 (step @p806 :rule trans :premises (@p805 @p787 @p746)) % 16.33/16.59 (step @p807 :rule true_elim :premises (@p806)) % 16.33/16.59 (step @p808 :rule cnf_or_pos :args (@t516)) % 16.33/16.59 (step @p809 :rule reordering :premises (@p808) :args ((or @t294 @t515 @t514 @t513 (not @t516)))) % 16.33/16.59 (step @p810 false :rule chain_m_resolution :premises (@p809 @p807 @p789 @p741 @p397 @p390) :args (false @t410 (@list @t512 @t509 @t324 @t516 @t293))) % 16.33/16.59 ) % 16.33/16.59 % SZS output end Proof % 16.33/16.59 % cvc5 exiting %------------------------------------------------------------------------------