%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC078+1 : TPTP v9.2.1. Released v2.4.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.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 08:57:57 AM UTC 2026 % Result : Theorem 47.75s 47.93s % Output : Proof 47.75s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC078+1 : TPTP v9.2.1. Released v2.4.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n003.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 19:12:59 EDT 2026 % 0.16/0.35 % CPUTime : % 0.28/0.52 %----Proving TF0_NAR, FOF, or CNF % 47.75/47.93 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 47.75/47.93 --- Run --no-e-matching --full-saturate-quant at 6... % 47.75/47.93 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 47.75/47.93 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 47.75/47.93 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 47.75/47.93 % SZS status Theorem % 47.75/47.93 % SZS output start Proof % 47.75/47.93 ( % 47.75/47.93 (declare-sort $$unsorted 0) % 47.75/47.93 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 47.75/47.93 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 47.75/47.93 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 47.75/47.93 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 47.75/47.93 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 47.75/47.93 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 47.75/47.93 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 47.75/47.93 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 47.75/47.93 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 47.75/47.93 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 47.75/47.93 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 47.75/47.93 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 47.75/47.93 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 47.75/47.93 (declare-const tptp.nil $$unsorted) % 47.75/47.93 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 47.75/47.93 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 47.75/47.93 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 47.75/47.93 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 47.75/47.93 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 47.75/47.93 (declare-const tptp.ssList (-> $$unsorted Bool)) % 47.75/47.93 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 47.75/47.93 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 47.75/47.93 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 47.75/47.93 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 47.75/47.93 (define @t1 () (@var "V" $$unsorted)) % 47.75/47.93 (define @t2 () (@var "U" $$unsorted)) % 47.75/47.93 (define @t3 () (= @t2 @t1)) % 47.75/47.93 (define @t4 () (not @t3)) % 47.75/47.93 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 47.75/47.93 (define @t6 () (tptp.ssItem @t1)) % 47.75/47.93 (define @t7 () (@list @t1)) % 47.75/47.93 (define @t8 () (tptp.ssItem @t2)) % 47.75/47.93 (define @t9 () (@list @t2)) % 47.75/47.93 (define @t10 () (@var "X" $$unsorted)) % 47.75/47.93 (define @t11 () (tptp.cons @t1 @t10)) % 47.75/47.93 (define @t12 () (@var "W" $$unsorted)) % 47.75/47.93 (define @t13 () (tptp.app @t12 @t11)) % 47.75/47.93 (define @t14 () (tptp.ssList @t10)) % 47.75/47.93 (define @t15 () (and @t14 (= @t13 @t2))) % 47.75/47.93 (define @t16 () (@list @t10)) % 47.75/47.93 (define @t17 () (exists @t16 @t15)) % 47.75/47.93 (define @t18 () (tptp.ssList @t12)) % 47.75/47.93 (define @t19 () (and @t18 @t17)) % 47.75/47.93 (define @t20 () (@list @t12)) % 47.75/47.93 (define @t21 () (exists @t20 @t19)) % 47.75/47.93 (define @t22 () (tptp.memberP @t2 @t1)) % 47.75/47.93 (define @t23 () (= @t22 @t21)) % 47.75/47.93 (define @t24 () (=> @t6 @t23)) % 47.75/47.93 (define @t25 () (forall @t7 @t24)) % 47.75/47.93 (define @t26 () (tptp.ssList @t2)) % 47.75/47.93 (define @t27 () (=> @t26 @t25)) % 47.75/47.93 (define @t28 () (forall @t9 @t27)) % 47.75/47.93 (define @t29 () (tptp.cons @t1 tptp.nil)) % 47.75/47.93 (define @t30 () (tptp.app @t1 @t12)) % 47.75/47.93 (define @t31 () (tptp.frontsegP @t2 @t1)) % 47.75/47.93 (define @t32 () (tptp.ssList @t1)) % 47.75/47.93 (define @t33 () (tptp.app @t12 @t1)) % 47.75/47.93 (define @t34 () (tptp.rearsegP @t2 @t1)) % 47.75/47.93 (define @t35 () (tptp.segmentP @t2 @t1)) % 47.75/47.93 (define @t36 () (tptp.leq @t12 @t1)) % 47.75/47.93 (define @t37 () (tptp.leq @t1 @t12)) % 47.75/47.93 (define @t38 () (@var "Z" $$unsorted)) % 47.75/47.93 (define @t39 () (@var "Y" $$unsorted)) % 47.75/47.93 (define @t40 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t39)) (tptp.cons @t12 @t38)) @t2)) % 47.75/47.93 (define @t41 () (tptp.ssList @t38)) % 47.75/47.93 (define @t42 () (@list @t38)) % 47.75/47.93 (define @t43 () (tptp.ssList @t39)) % 47.75/47.93 (define @t44 () (@list @t39)) % 47.75/47.93 (define @t45 () (tptp.ssItem @t12)) % 47.75/47.93 (define @t46 () (tptp.lt @t1 @t12)) % 47.75/47.93 (define @t47 () (= @t1 @t12)) % 47.75/47.93 (define @t48 () (forall @t7 (=> @t32 @t5))) % 47.75/47.93 (define @t49 () (=> @t26 @t48)) % 47.75/47.93 (define @t50 () (forall @t9 @t49)) % 47.75/47.93 (define @t51 () (tptp.cons @t1 @t2)) % 47.75/47.93 (define @t52 () (tptp.ssList @t51)) % 47.75/47.93 (define @t53 () (forall @t7 (=> @t6 @t52))) % 47.75/47.93 (define @t54 () (=> @t26 @t53)) % 47.75/47.93 (define @t55 () (forall @t9 @t54)) % 47.75/47.93 (define @t56 () (tptp.ssList tptp.nil)) % 47.75/47.93 (define @t57 () (not (= @t51 @t2))) % 47.75/47.93 (define @t58 () (=> @t6 @t57)) % 47.75/47.93 (define @t59 () (forall @t7 @t58)) % 47.75/47.93 (define @t60 () (=> @t26 @t59)) % 47.75/47.93 (define @t61 () (forall @t9 @t60)) % 47.75/47.93 (define @t62 () (= @t1 @t2)) % 47.75/47.93 (define @t63 () (tptp.cons @t12 @t1)) % 47.75/47.93 (define @t64 () (= tptp.nil @t2)) % 47.75/47.93 (define @t65 () (tptp.hd @t2)) % 47.75/47.93 (define @t66 () (not @t64)) % 47.75/47.93 (define @t67 () (tptp.tl @t2)) % 47.75/47.93 (define @t68 () (tptp.app @t2 @t1)) % 47.75/47.93 (define @t69 () (tptp.app @t1 @t2)) % 47.75/47.93 (define @t70 () (tptp.app tptp.nil @t2)) % 47.75/47.93 (define @t71 () (=> @t26 (= @t70 @t2))) % 47.75/47.93 (define @t72 () (forall @t9 @t71)) % 47.75/47.93 (define @t73 () (tptp.leq @t1 @t2)) % 47.75/47.93 (define @t74 () (tptp.leq @t2 @t1)) % 47.75/47.93 (define @t75 () (tptp.geq @t2 @t1)) % 47.75/47.93 (define @t76 () (tptp.lt @t1 @t2)) % 47.75/47.93 (define @t77 () (tptp.lt @t2 @t1)) % 47.75/47.93 (define @t78 () (tptp.lt @t2 @t12)) % 47.75/47.93 (define @t79 () (tptp.gt @t2 @t1)) % 47.75/47.93 (define @t80 () (tptp.memberP @t12 @t2)) % 47.75/47.93 (define @t81 () (tptp.app @t12 @t2)) % 47.75/47.93 (define @t82 () (tptp.segmentP @t2 @t2)) % 47.75/47.93 (define @t83 () (forall @t9 (=> @t26 @t82))) % 47.75/47.93 (define @t84 () (tptp.segmentP (tptp.app @t81 @t10) @t1)) % 47.75/47.93 (define @t85 () (=> @t35 @t84)) % 47.75/47.93 (define @t86 () (forall @t16 (=> @t14 @t85))) % 47.75/47.93 (define @t87 () (=> @t18 @t86)) % 47.75/47.93 (define @t88 () (forall @t20 @t87)) % 47.75/47.93 (define @t89 () (=> @t32 @t88)) % 47.75/47.93 (define @t90 () (forall @t7 @t89)) % 47.75/47.93 (define @t91 () (=> @t26 @t90)) % 47.75/47.93 (define @t92 () (forall @t9 @t91)) % 47.75/47.93 (define @t93 () (tptp.cons @t2 tptp.nil)) % 47.75/47.93 (define @t94 () (tptp.hd @t1)) % 47.75/47.93 (define @t95 () (= tptp.nil @t1)) % 47.75/47.93 (define @t96 () (not @t95)) % 47.75/47.93 (define @t97 () (tptp.cons @t2 @t1)) % 47.75/47.93 (define @t98 () (= @t12 @t2)) % 47.75/47.93 (define @t99 () (= @t51 (tptp.app @t29 @t2))) % 47.75/47.93 (define @t100 () (forall @t7 (=> @t6 @t99))) % 47.75/47.93 (define @t101 () (=> @t26 @t100)) % 47.75/47.93 (define @t102 () (forall @t9 @t101)) % 47.75/47.93 (define @t103 () (and @t95 @t64)) % 47.75/47.93 (define @t104 () (tptp.app @t2 tptp.nil)) % 47.75/47.93 (define @t105 () (=> @t26 (= @t104 @t2))) % 47.75/47.93 (define @t106 () (forall @t9 @t105)) % 47.75/47.93 (define @t107 () (not (= tptp.nil @t12))) % 47.75/47.93 (define @t108 () (not (= tptp.nil @t10))) % 47.75/47.93 (define @t109 () (or @t108 @t107)) % 47.75/47.93 (define @t110 () (not (tptp.memberP @t10 @t38))) % 47.75/47.93 (define @t111 () (tptp.cons @t38 tptp.nil)) % 47.75/47.93 (define @t112 () (not (= @t111 @t12))) % 47.75/47.93 (define @t113 () (or @t112 @t110)) % 47.75/47.93 (define @t114 () (tptp.ssItem @t38)) % 47.75/47.93 (define @t115 () (=> @t114 @t113)) % 47.75/47.93 (define @t116 () (forall @t42 @t115)) % 47.75/47.93 (define @t117 () (and @t116 @t109)) % 47.75/47.93 (define @t118 () (tptp.segmentP @t2 @t39)) % 47.75/47.93 (define @t119 () (tptp.segmentP @t1 @t39)) % 47.75/47.93 (define @t120 () (tptp.neq @t39 tptp.nil)) % 47.75/47.93 (define @t121 () (and @t43 @t120 @t119 @t118)) % 47.75/47.93 (define @t122 () (exists @t44 @t121)) % 47.75/47.93 (define @t123 () (not (= @t2 @t12))) % 47.75/47.93 (define @t124 () (not (= @t1 @t10))) % 47.75/47.93 (define @t125 () (or @t124 @t123 @t122 @t103 @t117)) % 47.75/47.93 (define @t126 () (=> @t14 @t125)) % 47.75/47.93 (define @t127 () (forall @t16 @t126)) % 47.75/47.93 (define @t128 () (=> @t18 @t127)) % 47.75/47.93 (define @t129 () (forall @t20 @t128)) % 47.75/47.93 (define @t130 () (=> @t32 @t129)) % 47.75/47.93 (define @t131 () (forall @t7 @t130)) % 47.75/47.93 (define @t132 () (=> @t26 @t131)) % 47.75/47.93 (define @t133 () (forall @t9 @t132)) % 47.75/47.93 (define @t134 () (not @t133)) % 47.75/47.93 (define @t135 () (= @t2 tptp.nil)) % 47.75/47.93 (define @t136 () (not @t135)) % 47.75/47.93 (define @t137 () (@var "BOUND_VARIABLE_11085" $$unsorted)) % 47.75/47.93 (define @t138 () (= @t137 tptp.nil)) % 47.75/47.93 (define @t139 () (not @t138)) % 47.75/47.93 (define @t140 () (or @t139 @t136)) % 47.75/47.93 (define @t141 () (@var "BOUND_VARIABLE_11087" $$unsorted)) % 47.75/47.93 (define @t142 () (or (not (tptp.ssItem @t141)) (not (= @t2 (tptp.cons @t141 tptp.nil))) (not (tptp.memberP @t137 @t141)))) % 47.75/47.93 (define @t143 () (and @t142 @t140)) % 47.75/47.93 (define @t144 () (and @t138 @t135)) % 47.75/47.93 (define @t145 () (not @t118)) % 47.75/47.93 (define @t146 () (not @t120)) % 47.75/47.93 (define @t147 () (not @t43)) % 47.75/47.93 (define @t148 () (not (forall @t44 (or @t147 @t146 (not (tptp.segmentP @t137 @t39)) @t145)))) % 47.75/47.93 (define @t149 () (not (tptp.ssList @t137))) % 47.75/47.93 (define @t150 () (not @t26)) % 47.75/47.93 (define @t151 () (or @t150 @t149 @t148 @t144 @t143)) % 47.75/47.93 (define @t152 () (or @t149 @t148 @t144 @t143)) % 47.75/47.93 (define @t153 () (or @t150 @t152)) % 47.75/47.93 (define @t154 () (@list @t2 @t137 @t141)) % 47.75/47.93 (define @t155 () (forall @t154 @t153)) % 47.75/47.93 (define @t156 () (@list @t137 @t141)) % 47.75/47.93 (define @t157 () (forall @t156 @t153)) % 47.75/47.93 (define @t158 () (forall @t156 @t152)) % 47.75/47.93 (define @t159 () (@var "BOUND_VARIABLE_11067" $$unsorted)) % 47.75/47.93 (define @t160 () (or @t150 @t158)) % 47.75/47.93 (define @t161 () (= @t1 tptp.nil)) % 47.75/47.93 (define @t162 () (not @t161)) % 47.75/47.93 (define @t163 () (or @t162 @t136)) % 47.75/47.93 (define @t164 () (or (not (tptp.ssItem @t159)) (not (= @t2 (tptp.cons @t159 tptp.nil))) (not (tptp.memberP @t1 @t159)))) % 47.75/47.93 (define @t165 () (and @t164 @t163)) % 47.75/47.93 (define @t166 () (and @t161 @t135)) % 47.75/47.93 (define @t167 () (not @t119)) % 47.75/47.93 (define @t168 () (or @t147 @t146 @t167 @t145)) % 47.75/47.93 (define @t169 () (not (forall @t44 @t168))) % 47.75/47.93 (define @t170 () (not @t32)) % 47.75/47.93 (define @t171 () (or @t170 @t169 @t166 @t165)) % 47.75/47.93 (define @t172 () (forall (@list @t1 @t159) @t171)) % 47.75/47.93 (define @t173 () (or @t150 @t172)) % 47.75/47.93 (define @t174 () (@list @t159)) % 47.75/47.93 (define @t175 () (forall @t174 @t171)) % 47.75/47.93 (define @t176 () (forall @t174 @t163)) % 47.75/47.93 (define @t177 () (forall @t174 @t164)) % 47.75/47.93 (define @t178 () (@var "BOUND_VARIABLE_11042" $$unsorted)) % 47.75/47.93 (define @t179 () (@list @t178)) % 47.75/47.93 (define @t180 () (and @t177 @t176)) % 47.75/47.93 (define @t181 () (forall @t174 @t165)) % 47.75/47.93 (define @t182 () (or @t170 @t169 @t166 @t181)) % 47.75/47.93 (define @t183 () (and (forall (@list @t178) (or (not (tptp.ssItem @t178)) (not (= @t2 (tptp.cons @t178 tptp.nil))) (not (tptp.memberP @t1 @t178)))) @t163)) % 47.75/47.93 (define @t184 () (or @t170 @t169 @t166 @t183)) % 47.75/47.93 (define @t185 () (forall @t7 @t184)) % 47.75/47.93 (define @t186 () (or @t150 @t185)) % 47.75/47.93 (define @t187 () (or @t150 @t184)) % 47.75/47.93 (define @t188 () (or @t170 @t169 @t166 @t150 @t183)) % 47.75/47.93 (define @t189 () (or @t169 @t166 @t170 @t150 @t183)) % 47.75/47.93 (define @t190 () (@var "BOUND_VARIABLE_11013" $$unsorted)) % 47.75/47.93 (define @t191 () (@list @t190)) % 47.75/47.93 (define @t192 () (forall @t191 @t163)) % 47.75/47.93 (define @t193 () (not (tptp.memberP @t1 @t190))) % 47.75/47.93 (define @t194 () (tptp.cons @t190 tptp.nil)) % 47.75/47.93 (define @t195 () (not (tptp.ssItem @t190))) % 47.75/47.93 (define @t196 () (or @t195 (not (= @t2 @t194)) @t193)) % 47.75/47.93 (define @t197 () (forall @t191 @t196)) % 47.75/47.93 (define @t198 () (@list @t190)) % 47.75/47.93 (define @t199 () (and @t197 @t192)) % 47.75/47.93 (define @t200 () (and @t196 @t163)) % 47.75/47.93 (define @t201 () (forall @t191 @t200)) % 47.75/47.93 (define @t202 () (or @t150 @t201)) % 47.75/47.93 (define @t203 () (or @t150 @t200)) % 47.75/47.93 (define @t204 () (not (= @t2 @t2))) % 47.75/47.93 (define @t205 () (or @t150 @t204 @t200)) % 47.75/47.93 (define @t206 () (not (= @t12 tptp.nil))) % 47.75/47.93 (define @t207 () (or @t162 @t206)) % 47.75/47.93 (define @t208 () (or @t195 (not (= @t12 @t194)) @t193)) % 47.75/47.93 (define @t209 () (and @t208 @t207)) % 47.75/47.93 (define @t210 () (not @t18)) % 47.75/47.93 (define @t211 () (or @t123 @t210 @t123 @t209)) % 47.75/47.93 (define @t212 () (or @t210 @t123 @t209)) % 47.75/47.93 (define @t213 () (forall @t20 @t212)) % 47.75/47.93 (define @t214 () (forall @t191 @t213)) % 47.75/47.93 (define @t215 () (forall (@list @t190 @t12) @t212)) % 47.75/47.93 (define @t216 () (forall (@list @t12 @t190) @t212)) % 47.75/47.93 (define @t217 () (forall @t191 @t212)) % 47.75/47.93 (define @t218 () (forall @t191 @t207)) % 47.75/47.93 (define @t219 () (forall @t191 @t208)) % 47.75/47.93 (define @t220 () (@var "BOUND_VARIABLE_10988" $$unsorted)) % 47.75/47.93 (define @t221 () (@list @t220)) % 47.75/47.93 (define @t222 () (and @t219 @t218)) % 47.75/47.93 (define @t223 () (forall @t191 @t209)) % 47.75/47.93 (define @t224 () (or @t210 @t123 @t223)) % 47.75/47.93 (define @t225 () (and (forall (@list @t220) (or (not (tptp.ssItem @t220)) (not (= @t12 (tptp.cons @t220 tptp.nil))) (not (tptp.memberP @t1 @t220)))) @t207)) % 47.75/47.93 (define @t226 () (or @t210 @t123 @t225)) % 47.75/47.93 (define @t227 () (forall @t20 @t226)) % 47.75/47.93 (define @t228 () (or @t169 @t166 @t170 @t227)) % 47.75/47.93 (define @t229 () (or @t169 @t166 @t170 @t226)) % 47.75/47.93 (define @t230 () (or @t210 @t123 @t169 @t166 @t170 @t225)) % 47.75/47.93 (define @t231 () (or @t123 @t169 @t166 @t170 @t225)) % 47.75/47.93 (define @t232 () (@var "BOUND_VARIABLE_10961" $$unsorted)) % 47.75/47.93 (define @t233 () (@list @t232)) % 47.75/47.93 (define @t234 () (forall @t233 @t207)) % 47.75/47.93 (define @t235 () (not (= @t12 (tptp.cons @t232 tptp.nil)))) % 47.75/47.93 (define @t236 () (not (tptp.ssItem @t232))) % 47.75/47.93 (define @t237 () (or @t236 @t235 (not (tptp.memberP @t1 @t232)))) % 47.75/47.93 (define @t238 () (forall @t233 @t237)) % 47.75/47.93 (define @t239 () (@list @t232)) % 47.75/47.93 (define @t240 () (and @t238 @t234)) % 47.75/47.93 (define @t241 () (and @t237 @t207)) % 47.75/47.93 (define @t242 () (forall @t233 @t241)) % 47.75/47.93 (define @t243 () (or @t170 @t242)) % 47.75/47.93 (define @t244 () (or @t170 @t241)) % 47.75/47.93 (define @t245 () (not (= @t1 @t1))) % 47.75/47.93 (define @t246 () (or @t170 @t245 @t241)) % 47.75/47.93 (define @t247 () (or (not (= @t10 tptp.nil)) @t206)) % 47.75/47.93 (define @t248 () (or @t236 @t235 (not (tptp.memberP @t10 @t232)))) % 47.75/47.93 (define @t249 () (and @t248 @t247)) % 47.75/47.93 (define @t250 () (not @t14)) % 47.75/47.93 (define @t251 () (or @t124 @t250 @t124 @t249)) % 47.75/47.93 (define @t252 () (or @t250 @t124 @t249)) % 47.75/47.93 (define @t253 () (forall @t16 @t252)) % 47.75/47.93 (define @t254 () (forall @t233 @t253)) % 47.75/47.93 (define @t255 () (forall (@list @t232 @t10) @t252)) % 47.75/47.93 (define @t256 () (forall (@list @t10 @t232) @t252)) % 47.75/47.93 (define @t257 () (forall @t233 @t252)) % 47.75/47.93 (define @t258 () (forall @t233 @t247)) % 47.75/47.93 (define @t259 () (forall @t233 @t248)) % 47.75/47.93 (define @t260 () (and @t259 @t258)) % 47.75/47.93 (define @t261 () (forall @t233 @t249)) % 47.75/47.93 (define @t262 () (or @t250 @t124 @t261)) % 47.75/47.93 (define @t263 () (not (= @t12 @t111))) % 47.75/47.93 (define @t264 () (not @t114)) % 47.75/47.93 (define @t265 () (or @t264 @t263 @t110)) % 47.75/47.93 (define @t266 () (and (forall @t42 @t265) @t247)) % 47.75/47.93 (define @t267 () (or @t250 @t124 @t266)) % 47.75/47.93 (define @t268 () (forall @t16 @t267)) % 47.75/47.93 (define @t269 () (or @t123 @t169 @t166 @t268)) % 47.75/47.93 (define @t270 () (or @t123 @t169 @t166 @t267)) % 47.75/47.93 (define @t271 () (or @t250 @t124 @t123 @t169 @t166 @t266)) % 47.75/47.93 (define @t272 () (or @t124 @t123 @t169 @t166 @t266)) % 47.75/47.93 (define @t273 () (or @t263 @t110)) % 47.75/47.93 (define @t274 () (forall @t44 (not @t121))) % 47.75/47.93 (define @t275 () (not @t274)) % 47.75/47.93 (define @t276 () (= tptp.nil @t137)) % 47.75/47.93 (define @t277 () (forall @t154 (or @t150 @t149 @t148 (and @t276 @t135) (and @t142 (or (not @t276) @t136))))) % 47.75/47.93 (define @t278 () (@quantifiers_skolemize @t277 0)) % 47.75/47.93 (define @t279 () (= tptp.nil @t278)) % 47.75/47.93 (define @t280 () (not @t279)) % 47.75/47.93 (define @t281 () (@quantifiers_skolemize @t277 1)) % 47.75/47.93 (define @t282 () (= tptp.nil @t281)) % 47.75/47.93 (define @t283 () (not @t282)) % 47.75/47.93 (define @t284 () (or @t283 @t280)) % 47.75/47.93 (define @t285 () (@quantifiers_skolemize @t277 2)) % 47.75/47.93 (define @t286 () (tptp.memberP @t281 @t285)) % 47.75/47.93 (define @t287 () (not @t286)) % 47.75/47.93 (define @t288 () (tptp.cons @t285 tptp.nil)) % 47.75/47.93 (define @t289 () (= @t278 @t288)) % 47.75/47.93 (define @t290 () (not @t289)) % 47.75/47.93 (define @t291 () (tptp.ssItem @t285)) % 47.75/47.93 (define @t292 () (not @t291)) % 47.75/47.93 (define @t293 () (or @t292 @t290 @t287)) % 47.75/47.93 (define @t294 () (and @t293 @t284)) % 47.75/47.93 (define @t295 () (and @t282 @t279)) % 47.75/47.93 (define @t296 () (forall @t44 (or @t147 @t146 (not (tptp.segmentP @t281 @t39)) (not (tptp.segmentP @t278 @t39))))) % 47.75/47.93 (define @t297 () (not @t296)) % 47.75/47.93 (define @t298 () (tptp.ssList @t281)) % 47.75/47.93 (define @t299 () (not @t298)) % 47.75/47.93 (define @t300 () (tptp.ssList @t278)) % 47.75/47.93 (define @t301 () (not @t300)) % 47.75/47.93 (define @t302 () (or @t301 @t299 @t297 @t295 @t294)) % 47.75/47.93 (define @t303 () (not @t302)) % 47.75/47.93 (define @t304 () (not @t277)) % 47.75/47.93 (define @t305 () (= @t278 tptp.nil)) % 47.75/47.93 (define @t306 () (not @t305)) % 47.75/47.93 (define @t307 () (or @t283 @t306)) % 47.75/47.93 (define @t308 () (and @t293 @t307)) % 47.75/47.93 (define @t309 () (and @t282 @t305)) % 47.75/47.93 (define @t310 () (or @t301 @t299 @t297 @t309 @t308)) % 47.75/47.93 (define @t311 () (not @t310)) % 47.75/47.93 (define @t312 () (@list true)) % 47.75/47.93 (define @t313 () (@list @t302)) % 47.75/47.93 (define @t314 () (@var "BOUND_VARIABLE_9151" $$unsorted)) % 47.75/47.93 (define @t315 () (not (= @t2 (tptp.cons @t314 @t2)))) % 47.75/47.93 (define @t316 () (not (tptp.ssItem @t314))) % 47.75/47.93 (define @t317 () (or @t316 @t315)) % 47.75/47.93 (define @t318 () (or @t150 @t317)) % 47.75/47.93 (define @t319 () (forall (@list @t2 @t314) @t318)) % 47.75/47.93 (define @t320 () (@list @t314)) % 47.75/47.93 (define @t321 () (forall @t320 @t318)) % 47.75/47.93 (define @t322 () (forall @t320 @t317)) % 47.75/47.93 (define @t323 () (@list @t1)) % 47.75/47.93 (define @t324 () (or @t150 @t322)) % 47.75/47.93 (define @t325 () (not (= @t2 @t51))) % 47.75/47.93 (define @t326 () (not @t6)) % 47.75/47.93 (define @t327 () (forall @t7 (or @t326 @t325))) % 47.75/47.93 (define @t328 () (= tptp.nil @t288)) % 47.75/47.93 (define @t329 () (not @t328)) % 47.75/47.93 (define @t330 () (not @t56)) % 47.75/47.93 (define @t331 () (or @t330 @t292 @t329)) % 47.75/47.93 (define @t332 () (@var "BOUND_VARIABLE_8234" $$unsorted)) % 47.75/47.93 (define @t333 () (@var "BOUND_VARIABLE_8259" $$unsorted)) % 47.75/47.93 (define @t334 () (not (tptp.ssList @t332))) % 47.75/47.93 (define @t335 () (@list @t12 @t332)) % 47.75/47.93 (define @t336 () (= (tptp.memberP @t2 @t333) (not (forall @t335 (or @t210 @t334 (not (= @t2 (tptp.app @t12 (tptp.cons @t333 @t332))))))))) % 47.75/47.93 (define @t337 () (not (tptp.ssItem @t333))) % 47.75/47.93 (define @t338 () (or @t337 @t336)) % 47.75/47.93 (define @t339 () (or @t150 @t338)) % 47.75/47.93 (define @t340 () (forall (@list @t2 @t333) @t339)) % 47.75/47.93 (define @t341 () (@list @t333)) % 47.75/47.93 (define @t342 () (forall @t341 @t339)) % 47.75/47.93 (define @t343 () (forall @t341 @t338)) % 47.75/47.93 (define @t344 () (or @t150 @t343)) % 47.75/47.93 (define @t345 () (not (= @t2 (tptp.app @t12 (tptp.cons @t1 @t332))))) % 47.75/47.93 (define @t346 () (or @t210 @t334 @t345)) % 47.75/47.93 (define @t347 () (= @t22 (not (forall @t335 @t346)))) % 47.75/47.93 (define @t348 () (forall @t7 (or @t326 @t347))) % 47.75/47.93 (define @t349 () (or @t334 @t345)) % 47.75/47.93 (define @t350 () (or @t210 @t349)) % 47.75/47.93 (define @t351 () (forall @t335 @t350)) % 47.75/47.93 (define @t352 () (@list @t332)) % 47.75/47.93 (define @t353 () (forall @t352 @t350)) % 47.75/47.93 (define @t354 () (forall @t352 @t349)) % 47.75/47.93 (define @t355 () (@list @t10)) % 47.75/47.93 (define @t356 () (or @t210 @t354)) % 47.75/47.93 (define @t357 () (= @t2 @t13)) % 47.75/47.93 (define @t358 () (forall @t16 (or @t250 (not @t357)))) % 47.75/47.93 (define @t359 () (not @t358)) % 47.75/47.93 (define @t360 () (and @t18 @t359)) % 47.75/47.93 (define @t361 () (forall @t20 (not @t360))) % 47.75/47.93 (define @t362 () (not @t361)) % 47.75/47.93 (define @t363 () (and @t14 @t357)) % 47.75/47.93 (define @t364 () (forall @t16 (not @t363))) % 47.75/47.93 (define @t365 () (not @t364)) % 47.75/47.93 (define @t366 () (forall @t335 (or @t210 @t334 (not (= @t281 (tptp.app @t12 (tptp.cons @t285 @t332))))))) % 47.75/47.93 (define @t367 () (not @t366)) % 47.75/47.93 (define @t368 () (= @t286 @t367)) % 47.75/47.93 (define @t369 () (or @t299 @t292 @t368)) % 47.75/47.93 (define @t370 () (and @t289 @t329)) % 47.75/47.93 (define @t371 () (@var "BOUND_VARIABLE_9107" $$unsorted)) % 47.75/47.93 (define @t372 () (= (tptp.neq @t2 @t371) (not (= @t2 @t371)))) % 47.75/47.93 (define @t373 () (not (tptp.ssList @t371))) % 47.75/47.93 (define @t374 () (or @t150 @t373 @t372)) % 47.75/47.93 (define @t375 () (or @t373 @t372)) % 47.75/47.93 (define @t376 () (or @t150 @t375)) % 47.75/47.93 (define @t377 () (@list @t2 @t371)) % 47.75/47.93 (define @t378 () (forall @t377 @t376)) % 47.75/47.93 (define @t379 () (@list @t371)) % 47.75/47.93 (define @t380 () (forall @t379 @t376)) % 47.75/47.93 (define @t381 () (forall @t379 @t375)) % 47.75/47.93 (define @t382 () (or @t150 @t381)) % 47.75/47.93 (define @t383 () (forall @t7 (or @t170 @t5))) % 47.75/47.93 (define @t384 () (tptp.neq @t278 tptp.nil)) % 47.75/47.93 (define @t385 () (or @t301 @t330 (= @t384 @t306))) % 47.75/47.93 (define @t386 () (forall @t377 @t374)) % 47.75/47.93 (define @t387 () (= @t280 @t384)) % 47.75/47.93 (define @t388 () (or @t301 @t330 @t387)) % 47.75/47.93 (define @t389 () (not @t387)) % 47.75/47.93 (define @t390 () (not @t280)) % 47.75/47.93 (define @t391 () (@quantifiers_skolemize @t366 1)) % 47.75/47.93 (define @t392 () (tptp.cons @t285 @t391)) % 47.75/47.93 (define @t393 () (@quantifiers_skolemize @t366 0)) % 47.75/47.93 (define @t394 () (tptp.app @t393 @t392)) % 47.75/47.93 (define @t395 () (= @t281 @t394)) % 47.75/47.93 (define @t396 () (not @t395)) % 47.75/47.93 (define @t397 () (tptp.ssList @t391)) % 47.75/47.93 (define @t398 () (not @t397)) % 47.75/47.93 (define @t399 () (tptp.ssList @t393)) % 47.75/47.93 (define @t400 () (not @t399)) % 47.75/47.93 (define @t401 () (or @t400 @t398 @t396)) % 47.75/47.93 (define @t402 () (not @t401)) % 47.75/47.93 (define @t403 () (@list @t278)) % 47.75/47.93 (define @t404 () (tptp.segmentP @t278 @t278)) % 47.75/47.93 (define @t405 () (or @t301 @t404)) % 47.75/47.93 (define @t406 () (@list false false)) % 47.75/47.93 (define @t407 () (not @t404)) % 47.75/47.93 (define @t408 () (tptp.segmentP @t281 @t278)) % 47.75/47.93 (define @t409 () (not @t408)) % 47.75/47.93 (define @t410 () (not @t384)) % 47.75/47.93 (define @t411 () (or @t301 @t410 @t409 @t407)) % 47.75/47.93 (define @t412 () (@var "BOUND_VARIABLE_9128" $$unsorted)) % 47.75/47.93 (define @t413 () (tptp.ssList (tptp.cons @t412 @t2))) % 47.75/47.93 (define @t414 () (not (tptp.ssItem @t412))) % 47.75/47.93 (define @t415 () (or @t414 @t413)) % 47.75/47.93 (define @t416 () (or @t150 @t415)) % 47.75/47.93 (define @t417 () (forall (@list @t2 @t412) @t416)) % 47.75/47.93 (define @t418 () (@list @t412)) % 47.75/47.93 (define @t419 () (forall @t418 @t416)) % 47.75/47.93 (define @t420 () (forall @t418 @t415)) % 47.75/47.93 (define @t421 () (or @t150 @t420)) % 47.75/47.93 (define @t422 () (forall @t7 (or @t326 @t52))) % 47.75/47.93 (define @t423 () (@list @t391 @t285)) % 47.75/47.93 (define @t424 () (tptp.ssList @t392)) % 47.75/47.93 (define @t425 () (or @t398 @t292 @t424)) % 47.75/47.93 (define @t426 () (@var "BOUND_VARIABLE_10531" $$unsorted)) % 47.75/47.93 (define @t427 () (= (tptp.cons @t426 @t2) (tptp.app (tptp.cons @t426 tptp.nil) @t2))) % 47.75/47.93 (define @t428 () (not (tptp.ssItem @t426))) % 47.75/47.93 (define @t429 () (or @t428 @t427)) % 47.75/47.93 (define @t430 () (or @t150 @t429)) % 47.75/47.93 (define @t431 () (forall (@list @t2 @t426) @t430)) % 47.75/47.93 (define @t432 () (@list @t426)) % 47.75/47.93 (define @t433 () (forall @t432 @t430)) % 47.75/47.93 (define @t434 () (forall @t432 @t429)) % 47.75/47.93 (define @t435 () (or @t150 @t434)) % 47.75/47.93 (define @t436 () (forall @t7 (or @t326 @t99))) % 47.75/47.93 (define @t437 () (tptp.app @t288 @t391)) % 47.75/47.93 (define @t438 () (= @t392 @t437)) % 47.75/47.93 (define @t439 () (or @t398 @t292 @t438)) % 47.75/47.93 (define @t440 () (@var "BOUND_VARIABLE_10206" $$unsorted)) % 47.75/47.93 (define @t441 () (@var "BOUND_VARIABLE_10210" $$unsorted)) % 47.75/47.93 (define @t442 () (@var "BOUND_VARIABLE_10208" $$unsorted)) % 47.75/47.93 (define @t443 () (tptp.segmentP (tptp.app (tptp.app @t442 @t2) @t441) @t440)) % 47.75/47.93 (define @t444 () (not (tptp.ssList @t441))) % 47.75/47.93 (define @t445 () (not (tptp.ssList @t442))) % 47.75/47.93 (define @t446 () (not (tptp.segmentP @t2 @t440))) % 47.75/47.93 (define @t447 () (not (tptp.ssList @t440))) % 47.75/47.93 (define @t448 () (or @t447 @t446 @t445 @t444 @t443)) % 47.75/47.93 (define @t449 () (or @t150 @t448)) % 47.75/47.93 (define @t450 () (forall (@list @t2 @t440 @t442 @t441) @t449)) % 47.75/47.93 (define @t451 () (@list @t440 @t442 @t441)) % 47.75/47.93 (define @t452 () (forall @t451 @t449)) % 47.75/47.93 (define @t453 () (forall @t451 @t448)) % 47.75/47.93 (define @t454 () (@var "BOUND_VARIABLE_10187" $$unsorted)) % 47.75/47.93 (define @t455 () (@var "BOUND_VARIABLE_10185" $$unsorted)) % 47.75/47.93 (define @t456 () (or @t150 @t453)) % 47.75/47.93 (define @t457 () (tptp.segmentP (tptp.app (tptp.app @t455 @t2) @t454) @t1)) % 47.75/47.93 (define @t458 () (not (tptp.ssList @t454))) % 47.75/47.93 (define @t459 () (not (tptp.ssList @t455))) % 47.75/47.93 (define @t460 () (not @t35)) % 47.75/47.93 (define @t461 () (or @t170 @t460 @t459 @t458 @t457)) % 47.75/47.93 (define @t462 () (@list @t1 @t455 @t454)) % 47.75/47.93 (define @t463 () (forall @t462 @t461)) % 47.75/47.93 (define @t464 () (or @t459 @t458 @t457)) % 47.75/47.93 (define @t465 () (or @t170 @t460 @t464)) % 47.75/47.93 (define @t466 () (forall @t462 @t465)) % 47.75/47.93 (define @t467 () (@list @t455 @t454)) % 47.75/47.93 (define @t468 () (forall @t467 @t465)) % 47.75/47.93 (define @t469 () (forall @t467 @t464)) % 47.75/47.93 (define @t470 () (@var "BOUND_VARIABLE_10168" $$unsorted)) % 47.75/47.93 (define @t471 () (or @t170 @t460 @t469)) % 47.75/47.93 (define @t472 () (tptp.segmentP (tptp.app @t81 @t470) @t1)) % 47.75/47.93 (define @t473 () (not (tptp.ssList @t470))) % 47.75/47.93 (define @t474 () (or @t210 @t473 @t472)) % 47.75/47.93 (define @t475 () (@list @t12 @t470)) % 47.75/47.93 (define @t476 () (forall @t475 @t474)) % 47.75/47.93 (define @t477 () (or @t170 @t460 @t476)) % 47.75/47.93 (define @t478 () (or @t460 @t476)) % 47.75/47.93 (define @t479 () (or @t473 @t472)) % 47.75/47.93 (define @t480 () (or @t210 @t479)) % 47.75/47.93 (define @t481 () (forall @t475 @t480)) % 47.75/47.93 (define @t482 () (@list @t470)) % 47.75/47.93 (define @t483 () (forall @t482 @t480)) % 47.75/47.93 (define @t484 () (forall @t482 @t479)) % 47.75/47.93 (define @t485 () (or @t210 @t484)) % 47.75/47.93 (define @t486 () (or @t250 @t84)) % 47.75/47.93 (define @t487 () (forall @t16 @t486)) % 47.75/47.93 (define @t488 () (or @t210 @t487)) % 47.75/47.93 (define @t489 () (forall @t20 @t488)) % 47.75/47.93 (define @t490 () (or @t460 @t489)) % 47.75/47.93 (define @t491 () (or @t460 @t488)) % 47.75/47.93 (define @t492 () (or @t210 @t460 @t487)) % 47.75/47.93 (define @t493 () (or @t460 @t487)) % 47.75/47.93 (define @t494 () (or @t460 @t486)) % 47.75/47.93 (define @t495 () (or @t250 @t460 @t84)) % 47.75/47.93 (define @t496 () (tptp.app tptp.nil @t278)) % 47.75/47.93 (define @t497 () (tptp.segmentP (tptp.app @t496 @t391) @t278)) % 47.75/47.93 (define @t498 () (or @t301 @t301 @t407 @t330 @t398 @t497)) % 47.75/47.93 (define @t499 () (= @t2 @t104)) % 47.75/47.93 (define @t500 () (= @t281 (tptp.app @t281 tptp.nil))) % 47.75/47.93 (define @t501 () (or @t299 @t500)) % 47.75/47.93 (define @t502 () (tptp.app @t394 tptp.nil)) % 47.75/47.93 (define @t503 () (tptp.segmentP @t502 @t278)) % 47.75/47.93 (define @t504 () (not @t503)) % 47.75/47.93 (define @t505 () (not @t500)) % 47.75/47.93 (define @t506 () (and @t500 @t409 @t395)) % 47.75/47.93 (define @t507 () (= @t2 @t70)) % 47.75/47.93 (define @t508 () (= @t278 @t496)) % 47.75/47.93 (define @t509 () (or @t301 @t508)) % 47.75/47.93 (define @t510 () (tptp.segmentP @t392 @t278)) % 47.75/47.93 (define @t511 () (and @t289 @t508 @t438 @t497)) % 47.75/47.93 (define @t512 () (not @t510)) % 47.75/47.93 (define @t513 () (not @t424)) % 47.75/47.93 (define @t514 () (or @t513 @t301 @t512 @t400 @t330 @t503)) % 47.75/47.93 (define @t515 () (@list @t284)) % 47.75/47.93 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 47.75/47.93 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 47.75/47.93 (assume @p3 @t28) % 47.75/47.93 (assume @p4 (forall @t9 (=> @t26 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t29 @t2))))))) % 47.75/47.93 (assume @p5 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t31 (exists @t20 (and @t18 (= @t30 @t2))))))))) % 47.75/47.93 (assume @p6 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t34 (exists @t20 (and @t18 (= @t33 @t2))))))))) % 47.75/47.93 (assume @p7 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= @t35 (exists @t20 (and @t18 (exists @t16 (and @t14 (= (tptp.app @t33 @t10) @t2))))))))))) % 47.75/47.93 (assume @p8 (forall @t9 (=> @t26 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (not (and @t37 @t36))))))))))))))))) % 47.75/47.93 (assume @p9 (forall @t9 (=> @t26 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (or @t37 @t36)))))))))))))))) % 47.75/47.93 (assume @p10 (forall @t9 (=> @t26 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (or @t46 (tptp.lt @t12 @t1))))))))))))))))) % 47.75/47.93 (assume @p11 (forall @t9 (=> @t26 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 @t37))))))))))))))) % 47.75/47.93 (assume @p12 (forall @t9 (=> @t26 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 @t46))))))))))))))) % 47.75/47.93 (assume @p13 (forall @t9 (=> @t26 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (forall @t42 (=> @t41 (=> @t40 (not @t47)))))))))))))))) % 47.75/47.93 (assume @p14 (forall @t9 (=> @t26 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t20 (=> @t45 (forall @t16 (=> @t14 (forall @t44 (=> @t43 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t39))) @t2) @t47))))))))))))) % 47.75/47.93 (assume @p15 @t50) % 47.75/47.93 (assume @p16 @t55) % 47.75/47.93 (assume @p17 @t56) % 47.75/47.93 (assume @p18 @t61) % 47.75/47.93 (assume @p19 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t45 (forall @t16 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t62))))))))))) % 47.75/47.93 (assume @p20 (forall @t9 (=> @t26 (or @t64 (exists @t7 (and @t32 (exists @t20 (and @t45 (= @t63 @t2))))))))) % 47.75/47.93 (assume @p21 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (not (= tptp.nil @t51))))))) % 47.75/47.93 (assume @p22 (forall @t9 (=> @t26 (=> @t66 (tptp.ssItem @t65))))) % 47.75/47.93 (assume @p23 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.hd @t51) @t1)))))) % 47.75/47.93 (assume @p24 (forall @t9 (=> @t26 (=> @t66 (tptp.ssList @t67))))) % 47.75/47.93 (assume @p25 (forall @t9 (=> @t26 (forall @t7 (=> @t6 (= (tptp.tl @t51) @t2)))))) % 47.75/47.93 (assume @p26 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (tptp.ssList @t68)))))) % 47.75/47.93 (assume @p27 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t45 (= (tptp.cons @t12 @t69) (tptp.app @t63 @t2))))))))) % 47.75/47.93 (assume @p28 @t72) % 47.75/47.93 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t74 @t73) @t3)))))) % 47.75/47.93 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t74 @t37) (tptp.leq @t2 @t12))))))))) % 47.75/47.93 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 47.75/47.93 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t75 @t73)))))) % 47.75/47.93 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t77 (not @t76))))))) % 47.75/47.93 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t77 @t46) @t78)))))))) % 47.75/47.93 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t79 @t76)))))) % 47.75/47.93 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (= (tptp.memberP @t30 @t2) (or (tptp.memberP @t1 @t2) @t80))))))))) % 47.75/47.93 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t18 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t80))))))))) % 47.75/47.93 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 47.75/47.93 (assume @p39 (not (tptp.singletonP tptp.nil))) % 47.75/47.93 (assume @p40 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t31 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 47.75/47.93 (assume @p41 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t31 (tptp.frontsegP @t1 @t2)) @t3)))))) % 47.75/47.93 (assume @p42 (forall @t9 (=> @t26 (tptp.frontsegP @t2 @t2)))) % 47.75/47.93 (assume @p43 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t31 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 47.75/47.93 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t18 (forall @t16 (=> @t14 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 47.75/47.93 (assume @p45 (forall @t9 (=> @t26 (tptp.frontsegP @t2 tptp.nil)))) % 47.75/47.93 (assume @p46 (forall @t9 (=> @t26 (= (tptp.frontsegP tptp.nil @t2) @t64)))) % 47.75/47.93 (assume @p47 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t34 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 47.75/47.93 (assume @p48 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t34 (tptp.rearsegP @t1 @t2)) @t3)))))) % 47.75/47.93 (assume @p49 (forall @t9 (=> @t26 (tptp.rearsegP @t2 @t2)))) % 47.75/47.93 (assume @p50 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> @t34 (tptp.rearsegP @t81 @t1))))))))) % 47.75/47.93 (assume @p51 (forall @t9 (=> @t26 (tptp.rearsegP @t2 tptp.nil)))) % 47.75/47.93 (assume @p52 (forall @t9 (=> @t26 (= (tptp.rearsegP tptp.nil @t2) @t64)))) % 47.75/47.93 (assume @p53 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (and @t35 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 47.75/47.93 (assume @p54 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t35 (tptp.segmentP @t1 @t2)) @t3)))))) % 47.75/47.93 (assume @p55 @t83) % 47.75/47.93 (assume @p56 @t92) % 47.75/47.93 (assume @p57 (forall @t9 (=> @t26 (tptp.segmentP @t2 tptp.nil)))) % 47.75/47.93 (assume @p58 (forall @t9 (=> @t26 (= (tptp.segmentP tptp.nil @t2) @t64)))) % 47.75/47.93 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t93)))) % 47.75/47.93 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 47.75/47.93 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t93)))) % 47.75/47.93 (assume @p62 (tptp.totalorderP tptp.nil)) % 47.75/47.93 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t93)))) % 47.75/47.93 (assume @p64 (tptp.strictorderP tptp.nil)) % 47.75/47.93 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t93)))) % 47.75/47.93 (assume @p66 (tptp.totalorderedP tptp.nil)) % 47.75/47.93 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.totalorderedP @t97) (or @t95 (and @t96 (tptp.totalorderedP @t1) (tptp.leq @t2 @t94))))))))) % 47.75/47.93 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t93)))) % 47.75/47.93 (assume @p69 (tptp.strictorderedP tptp.nil)) % 47.75/47.93 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t32 (= (tptp.strictorderedP @t97) (or @t95 (and @t96 (tptp.strictorderedP @t1) (tptp.lt @t2 @t94))))))))) % 47.75/47.93 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t93)))) % 47.75/47.93 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 47.75/47.93 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t93)))) % 47.75/47.93 (assume @p74 (tptp.equalelemsP tptp.nil)) % 47.75/47.93 (assume @p75 (forall @t9 (=> @t26 (=> @t66 (exists @t7 (and @t6 (= @t65 @t1))))))) % 47.75/47.93 (assume @p76 (forall @t9 (=> @t26 (=> @t66 (exists @t7 (and @t32 (= @t67 @t1))))))) % 47.75/47.93 (assume @p77 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> (and @t96 @t66 (= @t94 @t65) (= (tptp.tl @t1) @t67)) @t62)))))) % 47.75/47.93 (assume @p78 (forall @t9 (=> @t26 (=> @t66 (= (tptp.cons @t65 @t67) @t2))))) % 47.75/47.93 (assume @p79 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t33 @t68) @t98)))))))) % 47.75/47.93 (assume @p80 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (=> (= @t30 @t69) @t98)))))))) % 47.75/47.93 (assume @p81 @t102) % 47.75/47.93 (assume @p82 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (forall @t20 (=> @t18 (= (tptp.app @t68 @t12) (tptp.app @t2 @t30))))))))) % 47.75/47.93 (assume @p83 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (= (= tptp.nil @t68) @t103)))))) % 47.75/47.93 (assume @p84 @t106) % 47.75/47.93 (assume @p85 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> @t66 (= (tptp.hd @t68) @t65))))))) % 47.75/47.93 (assume @p86 (forall @t9 (=> @t26 (forall @t7 (=> @t32 (=> @t66 (= (tptp.tl @t68) (tptp.app @t67 @t1)))))))) % 47.75/47.93 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t75 (tptp.geq @t1 @t2)) @t3)))))) % 47.75/47.93 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t75 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 47.75/47.93 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 47.75/47.93 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 47.75/47.93 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t74 @t46) @t78)))))))) % 47.75/47.93 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t74 (or @t3 @t77))))))) % 47.75/47.93 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t77 (and @t4 @t74))))))) % 47.75/47.93 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t79 (not (tptp.gt @t1 @t2)))))))) % 47.75/47.93 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t20 (=> @t45 (=> (and @t79 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 47.75/47.93 (assume @p96 @t134) % 47.75/47.93 (assume @p97 true) % 47.75/47.93 (step @p98 :rule refl :args (@t136)) % 47.75/47.93 (step @p99 :rule eq-symm :args (@t137 tptp.nil)) % 47.75/47.93 (step @p100 :rule cong :premises (@p99) :args (@t139)) % 47.75/47.93 (step @p101 :rule nary_cong :premises (@p100 @p98) :args (@t140)) % 47.75/47.93 (step @p102 :rule refl :args (@t142)) % 47.75/47.93 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t143)) % 47.75/47.93 (step @p104 :rule refl :args (@t135)) % 47.75/47.93 (step @p105 :rule nary_cong :premises (@p99 @p104) :args (@t144)) % 47.75/47.93 (step @p106 :rule refl :args (@t148)) % 47.75/47.93 (step @p107 :rule refl :args (@t149)) % 47.75/47.93 (step @p108 :rule refl :args (@t150)) % 47.75/47.93 (step @p109 :rule nary_cong :premises (@p108 @p107 @p106 @p105 @p103) :args (@t151)) % 47.75/47.93 (step @p110 :rule aci_norm :args ((= @t153 @t151))) % 47.75/47.93 (step @p111 :rule trans :premises (@p110 @p109)) % 47.75/47.93 (step @p112 :rule cong :premises (@p111) :args (@t155)) % 47.75/47.93 (step @p113 :rule quant-merge-prenex :args ((= (forall @t9 @t157) @t155))) % 47.75/47.93 (step @p114 :rule alpha_equiv :args (@t158 (@list @t137 @t141) (@list @t1 @t159))) % 47.75/47.93 (step @p115 :rule refl :args (@t150)) % 47.75/47.93 (step @p116 :rule nary_cong :premises (@p115 @p114) :args (@t160)) % 47.75/47.93 (step @p117 :rule quant-miniscope-or :args ((= @t157 @t160))) % 47.75/47.93 (step @p118 :rule trans :premises (@p117 @p116)) % 47.75/47.93 (step @p119 :rule symm :premises (@p118)) % 47.75/47.93 (step @p120 :rule cong :premises (@p119) :args ((forall @t9 @t173))) % 47.75/47.93 (step @p121 :rule trans :premises (@p120 @p113)) % 47.75/47.93 (step @p122 :rule trans :premises (@p121 @p112)) % 47.75/47.93 (step @p123 :rule aci_norm :args ((= (or @t150 @t173) @t173))) % 47.75/47.93 (step @p124 :rule bool-impl-elim :args (@t26 @t173)) % 47.75/47.93 (step @p125 :rule trans :premises (@p124 @p123)) % 47.75/47.93 (step @p126 :rule cong :premises (@p125) :args ((forall @t9 (=> @t26 @t173)))) % 47.75/47.93 (step @p127 :rule trans :premises (@p126 @p122)) % 47.75/47.93 (step @p128 :rule quant-merge-prenex :args ((= (forall @t7 @t175) @t172))) % 47.75/47.93 (step @p129 :rule quant-unused-vars :args ((= @t176 @t163))) % 47.75/47.93 (step @p130 :rule alpha_equiv :args (@t177 (@list @t159) @t179)) % 47.75/47.93 (step @p131 :rule nary_cong :premises (@p130 @p129) :args (@t180)) % 47.75/47.93 (step @p132 :rule quant-miniscope-and :args ((= @t181 @t180))) % 47.75/47.93 (step @p133 :rule trans :premises (@p132 @p131)) % 47.75/47.93 (step @p134 :rule refl :args (@t166)) % 47.75/47.93 (step @p135 :rule refl :args (@t169)) % 47.75/47.93 (step @p136 :rule refl :args (@t170)) % 47.75/47.93 (step @p137 :rule nary_cong :premises (@p136 @p135 @p134 @p133) :args (@t182)) % 47.75/47.93 (step @p138 :rule quant-miniscope-or :args ((= @t175 @t182))) % 47.75/47.93 (step @p139 :rule trans :premises (@p138 @p137)) % 47.75/47.93 (step @p140 :rule symm :premises (@p139)) % 47.75/47.93 (step @p141 :rule cong :premises (@p140) :args (@t185)) % 47.75/47.93 (step @p142 :rule trans :premises (@p141 @p128)) % 47.75/47.93 (step @p143 :rule nary_cong :premises (@p108 @p142) :args (@t186)) % 47.75/47.93 (step @p144 :rule quant-miniscope-or :args ((= (forall @t7 @t187) @t186))) % 47.75/47.93 (step @p145 :rule aci_norm :args ((= @t188 @t187))) % 47.75/47.93 (step @p146 :rule cong :premises (@p145) :args ((forall @t7 @t188))) % 47.75/47.93 (step @p147 :rule trans :premises (@p146 @p144)) % 47.75/47.93 (step @p148 :rule trans :premises (@p147 @p143)) % 47.75/47.93 (step @p149 :rule aci_norm :args ((= (or @t170 @t189) @t188))) % 47.75/47.93 (step @p150 :rule bool-impl-elim :args (@t32 @t189)) % 47.75/47.93 (step @p151 :rule trans :premises (@p150 @p149)) % 47.75/47.93 (step @p152 :rule cong :premises (@p151) :args ((forall @t7 (=> @t32 @t189)))) % 47.75/47.93 (step @p153 :rule trans :premises (@p152 @p148)) % 47.75/47.93 (step @p154 :rule aci_norm :args ((= (or @t169 @t166 @t170 (or @t150 @t183)) @t189))) % 47.75/47.93 (step @p155 :rule quant-unused-vars :args ((= @t192 @t163))) % 47.75/47.93 (step @p156 :rule alpha_equiv :args (@t197 @t198 @t179)) % 47.75/47.93 (step @p157 :rule nary_cong :premises (@p156 @p155) :args (@t199)) % 47.75/47.93 (step @p158 :rule quant-miniscope-and :args ((= @t201 @t199))) % 47.75/47.93 (step @p159 :rule trans :premises (@p158 @p157)) % 47.75/47.93 (step @p160 :rule nary_cong :premises (@p108 @p159) :args (@t202)) % 47.75/47.93 (step @p161 :rule quant-miniscope-or :args ((= (forall @t191 @t203) @t202))) % 47.75/47.93 (step @p162 :rule trans :premises (@p161 @p160)) % 47.75/47.93 (step @p163 :rule aci_norm :args ((= (or @t150 false @t200) @t203))) % 47.75/47.93 (step @p164 :rule refl :args (@t200)) % 47.75/47.93 (step @p165 :rule evaluate :args ((not true))) % 47.75/47.93 (step @p166 :rule eq-refl :args (@t2)) % 47.75/47.93 (step @p167 :rule cong :premises (@p166) :args (@t204)) % 47.75/47.93 (step @p168 :rule trans :premises (@p167 @p165)) % 47.75/47.93 (step @p169 :rule nary_cong :premises (@p108 @p168 @p164) :args (@t205)) % 47.75/47.93 (step @p170 :rule trans :premises (@p169 @p163)) % 47.75/47.93 (step @p171 :rule cong :premises (@p170) :args ((forall @t191 @t205))) % 47.75/47.93 (step @p172 :rule trans :premises (@p171 @p162)) % 47.75/47.93 (step @p173 :rule quant-var-elim-eq :args ((= (forall @t20 (or (not @t98) @t210 @t123 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:premises (@p630) :args (@t100)) % 47.75/47.93 (step @p632 :rule cong :premises (@p329 @p631) :args (@t101)) % 47.75/47.93 (step @p633 :rule cong :premises (@p632) :args (@t102)) % 47.75/47.93 (step @p634 :rule trans :premises (@p633 @p629)) % 47.75/47.93 (step @p635 :rule eq_resolve :premises (@p81 @p634)) % 47.75/47.93 (step @p636 :rule instantiate :premises (@p635) :args (@t423)) % 47.75/47.93 (step @p637 :rule cnf_or_pos :args (@t439)) % 47.75/47.93 (step @p638 :rule reordering :premises (@p637) :args ((or @t292 @t398 @t438 (not @t439)))) % 47.75/47.93 (step @p639 :rule aci_norm :args ((= @t449 (or @t150 @t447 @t446 @t445 @t444 @t443)))) % 47.75/47.93 (step @p640 :rule cong :premises (@p639) :args (@t450)) % 47.75/47.93 (step @p641 :rule quant-merge-prenex :args ((= (forall @t9 @t452) @t450))) % 47.75/47.93 (step @p642 :rule alpha_equiv :args (@t453 (@list @t440 @t442 @t441) (@list @t1 @t455 @t454))) % 47.75/47.93 (step @p643 :rule nary_cong :premises (@p115 @p642) :args (@t456)) % 47.75/47.93 (step @p644 :rule quant-miniscope-or :args ((= @t452 @t456))) % 47.75/47.93 (step @p645 :rule trans :premises (@p644 @p643)) % 47.75/47.93 (step @p646 :rule symm :premises (@p645)) % 47.75/47.93 (step @p647 :rule cong :premises (@p646) :args ((forall @t9 (or @t150 @t463)))) % 47.75/47.93 (step @p648 :rule trans :premises (@p647 @p641)) % 47.75/47.93 (step @p649 :rule trans :premises (@p648 @p640)) % 47.75/47.93 (step @p650 :rule bool-impl-elim :args (@t26 @t463)) % 47.75/47.93 (step @p651 :rule cong :premises (@p650) :args ((forall @t9 (=> @t26 @t463)))) % 47.75/47.93 (step @p652 :rule trans :premises (@p651 @p649)) % 47.75/47.93 (step @p653 :rule aci_norm :args ((= @t465 @t461))) % 47.75/47.93 (step @p654 :rule cong :premises (@p653) :args (@t466)) % 47.75/47.93 (step @p655 :rule quant-merge-prenex :args ((= (forall @t7 @t468) @t466))) % 47.75/47.93 (step @p656 :rule alpha_equiv :args (@t469 (@list @t455 @t454) (@list @t12 @t470))) % 47.75/47.93 (step @p657 :rule refl :args (@t460)) % 47.75/47.93 (step @p658 :rule nary_cong :premises (@p136 @p657 @p656) :args (@t471)) % 47.75/47.93 (step @p659 :rule quant-miniscope-or :args ((= @t468 @t471))) % 47.75/47.93 (step @p660 :rule trans :premises (@p659 @p658)) % 47.75/47.93 (step @p661 :rule symm :premises (@p660)) % 47.75/47.93 (step @p662 :rule cong :premises (@p661) :args ((forall @t7 @t477))) % 47.75/47.93 (step @p663 :rule trans :premises (@p662 @p655)) % 47.75/47.93 (step @p664 :rule trans :premises (@p663 @p654)) % 47.75/47.93 (step @p665 :rule aci_norm :args ((= (or @t170 @t478) @t477))) % 47.75/47.93 (step @p666 :rule bool-impl-elim :args (@t32 @t478)) % 47.75/47.93 (step @p667 :rule trans :premises (@p666 @p665)) % 47.75/47.93 (step @p668 :rule cong :premises (@p667) :args ((forall @t7 (=> @t32 @t478)))) % 47.75/47.93 (step @p669 :rule trans :premises (@p668 @p664)) % 47.75/47.93 (step @p670 :rule aci_norm :args ((= @t480 @t474))) % 47.75/47.93 (step @p671 :rule cong :premises (@p670) :args (@t481)) % 47.75/47.93 (step @p672 :rule quant-merge-prenex :args ((= (forall @t20 @t483) @t481))) % 47.75/47.93 (step @p673 :rule alpha_equiv :args (@t484 (@list @t470) @t355)) % 47.75/47.93 (step @p674 :rule nary_cong :premises (@p176 @p673) :args (@t485)) % 47.75/47.93 (step @p675 :rule quant-miniscope-or :args ((= @t483 @t485))) % 47.75/47.93 (step @p676 :rule trans :premises (@p675 @p674)) % 47.75/47.93 (step @p677 :rule symm :premises (@p676)) % 47.75/47.93 (step @p678 :rule cong :premises (@p677) :args (@t489)) % 47.75/47.93 (step @p679 :rule trans :premises (@p678 @p672)) % 47.75/47.93 (step @p680 :rule trans :premises (@p679 @p671)) % 47.75/47.93 (step @p681 :rule refl :args (@t460)) % 47.75/47.93 (step @p682 :rule nary_cong :premises (@p681 @p680) :args (@t490)) % 47.75/47.93 (step @p683 :rule quant-miniscope-or :args ((= (forall @t20 @t491) @t490))) % 47.75/47.93 (step @p684 :rule aci_norm :args ((= @t492 @t491))) % 47.75/47.93 (step @p685 :rule cong :premises (@p684) :args ((forall @t20 @t492))) % 47.75/47.93 (step @p686 :rule trans :premises (@p685 @p683)) % 47.75/47.93 (step @p687 :rule trans :premises (@p686 @p682)) % 47.75/47.93 (step @p688 :rule aci_norm :args ((= (or @t210 @t493) @t492))) % 47.75/47.93 (step @p689 :rule bool-impl-elim :args (@t18 @t493)) % 47.75/47.93 (step @p690 :rule trans :premises (@p689 @p688)) % 47.75/47.93 (step @p691 :rule cong :premises (@p690) :args ((forall @t20 (=> @t18 @t493)))) % 47.75/47.93 (step @p692 :rule trans :premises (@p691 @p687)) % 47.75/47.93 (step @p693 :rule quant-miniscope-or :args ((= (forall @t16 @t494) @t493))) % 47.75/47.93 (step @p694 :rule aci_norm :args ((= @t495 @t494))) % 47.75/47.93 (step @p695 :rule cong :premises (@p694) :args ((forall @t16 @t495))) % 47.75/47.93 (step @p696 :rule trans :premises (@p695 @p693)) % 47.75/47.93 (step @p697 :rule aci_norm :args ((= (or @t250 (or @t460 @t84)) @t495))) % 47.75/47.93 (step @p698 :rule bool-impl-elim :args (@t35 @t84)) % 47.75/47.93 (step @p699 :rule nary_cong :premises (@p239 @p698) :args ((or @t250 @t85))) % 47.75/47.93 (step @p700 :rule trans :premises (@p699 @p697)) % 47.75/47.93 (step @p701 :rule bool-impl-elim :args (@t14 @t85)) % 47.75/47.93 (step @p702 :rule trans :premises (@p701 @p700)) % 47.75/47.93 (step @p703 :rule cong :premises (@p702) :args (@t86)) % 47.75/47.93 (step @p704 :rule trans :premises (@p703 @p696)) % 47.75/47.93 (step @p705 :rule cong :premises (@p321 @p704) :args (@t87)) % 47.75/47.93 (step @p706 :rule cong :premises (@p705) :args (@t88)) % 47.75/47.93 (step @p707 :rule trans :premises (@p706 @p692)) % 47.75/47.93 (step @p708 :rule cong :premises (@p325 @p707) :args (@t89)) % 47.75/47.93 (step @p709 :rule cong :premises (@p708) :args (@t90)) % 47.75/47.93 (step @p710 :rule trans :premises (@p709 @p669)) % 47.75/47.93 (step @p711 :rule cong :premises (@p329 @p710) :args (@t91)) % 47.75/47.93 (step @p712 :rule cong :premises (@p711) :args (@t92)) % 47.75/47.93 (step @p713 :rule trans :premises (@p712 @p652)) % 47.75/47.93 (step @p714 :rule eq_resolve :premises (@p56 @p713)) % 47.75/47.93 (step @p715 :rule instantiate :premises (@p714) :args ((@list @t278 @t278 tptp.nil @t391))) % 47.75/47.93 (step @p716 :rule cnf_or_pos :args (@t498)) % 47.75/47.93 (step @p717 :rule factoring :premises (@p716)) % 47.75/47.93 (step @p718 :rule reordering :premises (@p717) :args ((or @t330 @t301 @t407 @t398 @t497 (not @t498)))) % 47.75/47.93 (step @p719 :rule bool-impl-elim :args (@t26 @t499)) % 47.75/47.93 (step @p720 :rule cong :premises (@p719) :args ((forall @t9 (=> @t26 @t499)))) % 47.75/47.93 (step @p721 :rule eq-symm :args (@t104 @t2)) % 47.75/47.93 (step @p722 :rule cong :premises (@p329 @p721) :args (@t105)) % 47.75/47.93 (step @p723 :rule cong :premises (@p722) :args (@t106)) % 47.75/47.93 (step @p724 :rule trans :premises (@p723 @p720)) % 47.75/47.93 (step @p725 :rule eq_resolve :premises (@p84 @p724)) % 47.75/47.93 (step @p726 :rule instantiate :premises (@p725) :args ((@list @t281))) % 47.75/47.93 (step @p727 :rule cnf_or_pos :args (@t501)) % 47.75/47.93 (step @p728 :rule reordering :premises (@p727) :args ((or @t299 @t500 (not @t501)))) % 47.75/47.93 (step @p729 :rule chain_m_resolution :premises (@p728 @p413 @p726) :args (@t500 @t406 (@list @t298 @t501))) % 47.75/47.93 (step @p730 :rule refl :args (@t504)) % 47.75/47.94 (step @p731 :rule refl :args (@t396)) % 47.75/47.94 (step @p732 :rule bool-double-not-elim :args (@t408)) % 47.75/47.94 (step @p733 :rule refl :args (@t505)) % 47.75/47.94 (step @p734 :rule nary_cong :premises (@p733 @p732 @p731 @p730) :args ((or @t505 (not @t409) @t396 @t504))) % 47.75/47.94 (assume-push @p846 @t500) % 47.75/47.94 (assume-push @p847 @t409) % 47.75/47.94 (assume-push @p848 @t395) % 47.75/47.94 (assume-push @p849 @t409) % 47.75/47.94 (assume-push @p850 @t500) % 47.75/47.94 (assume-push @p851 @t395) % 47.75/47.94 (step @p741 :rule false_intro :premises (@p847)) % 47.75/47.94 (step @p742 :rule refl :args (@t278)) % 47.75/47.94 (step @p743 :rule symm :premises (@p729)) % 47.75/47.94 (step @p483 :rule refl :args (tptp.nil)) % 47.75/47.94 (step @p744 :rule symm :premises (@p848)) % 47.75/47.94 (step @p745 :rule cong :premises (@p744 @p483) :args (@t502)) % 47.75/47.94 (step @p746 :rule trans :premises (@p745 @p743)) % 47.75/47.94 (step @p747 :rule cong :premises (@p746 @p742) :args (@t503)) % 47.75/47.94 (step @p748 :rule trans :premises (@p747 @p741)) % 47.75/47.94 (step @p749 :rule false_elim :premises (@p748)) % 47.75/47.94 (step-pop @p852 :rule scope :premises (@p749)) % 47.75/47.94 (step-pop @p853 :rule scope :premises (@p852)) % 47.75/47.94 (step-pop @p854 :rule scope :premises (@p853)) % 47.75/47.94 (step @p750 :rule process_scope :premises (@p854) :args (@t504)) % 47.75/47.94 (step @p754 :rule and_intro :premises (@p847 @p729 @p848)) % 47.75/47.94 (step @p755 :rule modus_ponens :premises (@p754 @p750)) % 47.75/47.94 (step-pop @p855 :rule scope :premises (@p755)) % 47.75/47.94 (step-pop @p856 :rule scope :premises (@p855)) % 47.75/47.94 (step-pop @p857 :rule scope :premises (@p856)) % 47.75/47.94 (step @p756 :rule process_scope :premises (@p857) :args (@t504)) % 47.75/47.94 (step @p760 :rule implies_elim :premises (@p756)) % 47.75/47.94 (step @p761 :rule cnf_and_neg :args (@t506)) % 47.75/47.94 (step @p762 :rule resolution :premises (@p761 @p760) :args (true @t506)) % 47.75/47.94 (step @p763 :rule eq_resolve :premises (@p762 @p734)) % 47.75/47.94 (step @p764 :rule reordering :premises (@p763) :args ((or @t408 @t505 @t396 @t504))) % 47.75/47.94 (step @p765 :rule bool-impl-elim :args (@t26 @t507)) % 47.75/47.94 (step @p766 :rule cong :premises (@p765) :args ((forall @t9 (=> @t26 @t507)))) % 47.75/47.94 (step @p767 :rule eq-symm :args (@t70 @t2)) % 47.75/47.94 (step @p768 :rule cong :premises (@p329 @p767) :args (@t71)) % 47.75/47.94 (step @p769 :rule cong :premises (@p768) :args (@t72)) % 47.75/47.94 (step @p770 :rule trans :premises (@p769 @p766)) % 47.75/47.94 (step @p771 :rule eq_resolve :premises (@p28 @p770)) % 47.75/47.94 (step @p772 :rule instantiate :premises (@p771) :args (@t403)) % 47.75/47.94 (step @p773 :rule cnf_or_pos :args (@t509)) % 47.75/47.94 (step @p774 :rule reordering :premises (@p773) :args ((or @t301 @t508 (not @t509)))) % 47.75/47.94 (step @p775 :rule chain_m_resolution :premises (@p774 @p542 @p772) :args (@t508 @t406 (@list @t300 @t509))) % 47.75/47.94 (assume-push @p858 @t289) % 47.75/47.94 (assume-push @p859 @t508) % 47.75/47.94 (assume-push @p860 @t438) % 47.75/47.94 (assume-push @p861 @t497) % 47.75/47.94 (assume-push @p862 @t497) % 47.75/47.94 (assume-push @p863 @t508) % 47.75/47.94 (assume-push @p864 @t289) % 47.75/47.94 (assume-push @p865 @t438) % 47.75/47.94 (step @p784 :rule true_intro :premises (@p861)) % 47.75/47.94 (step @p742 :rule refl :args (@t278)) % 47.75/47.94 (step @p785 :rule refl :args (@t391)) % 47.75/47.94 (step @p786 :rule cong :premises (@p775 @p785) :args ((tptp.app @t278 @t391))) % 47.75/47.94 (step @p787 :rule symm :premises (@p858)) % 47.75/47.94 (step @p788 :rule cong :premises (@p787 @p785) :args (@t437)) % 47.75/47.94 (step @p789 :rule trans :premises (@p860 @p788 @p786)) % 47.75/47.94 (step @p790 :rule cong :premises (@p789 @p742) :args (@t510)) % 47.75/47.94 (step @p791 :rule trans :premises (@p790 @p784)) % 47.75/47.94 (step @p792 :rule true_elim :premises (@p791)) % 47.75/47.94 (step-pop @p866 :rule scope :premises (@p792)) % 47.75/47.94 (step-pop @p867 :rule scope :premises (@p866)) % 47.75/47.94 (step-pop @p868 :rule scope :premises (@p867)) % 47.75/47.94 (step-pop @p869 :rule scope :premises (@p868)) % 47.75/47.94 (step @p793 :rule process_scope :premises (@p869) :args (@t510)) % 47.75/47.94 (step @p798 :rule and_intro :premises (@p861 @p775 @p858 @p860)) % 47.75/47.94 (step @p799 :rule modus_ponens :premises (@p798 @p793)) % 47.75/47.94 (step-pop @p870 :rule scope :premises (@p799)) % 47.75/47.94 (step-pop @p871 :rule scope :premises (@p870)) % 47.75/47.94 (step-pop @p872 :rule scope :premises (@p871)) % 47.75/47.94 (step-pop @p873 :rule scope :premises (@p872)) % 47.75/47.94 (step @p800 :rule process_scope :premises (@p873) :args (@t510)) % 47.75/47.94 (step @p805 :rule implies_elim :premises (@p800)) % 47.75/47.94 (step @p806 :rule cnf_and_neg :args (@t511)) % 47.75/47.94 (step @p807 :rule resolution :premises (@p806 @p805) :args (true @t511)) % 47.75/47.94 (step @p808 :rule reordering :premises (@p807) :args ((or @t290 (not @t508) @t510 (not @t438) (not @t497)))) % 47.75/47.94 (step @p809 :rule instantiate :premises (@p714) :args ((@list @t392 @t278 @t393 tptp.nil))) % 47.75/47.94 (step @p810 :rule cnf_or_pos :args (@t514)) % 47.75/47.94 (step @p811 :rule reordering :premises (@p810) :args ((or @t330 @t301 @t400 @t513 @t512 @t503 (not @t514)))) % 47.75/47.94 (step @p812 :rule chain_m_resolution :premises (@p811 @p809 @p542 @p17 @p808 @p775 @p764 @p729 @p718 @p715 @p574 @p542 @p17 @p638 @p636 @p615 @p613 @p592 @p587 @p582 @p576 @p574 @p567 @p542 @p560 @p551 @p545 @p501 @p499 @p473 @p471 @p413 @p406 @p404 @p17 @p377 @p372 @p367) :args (@t293 (@list false false false false false true false false false false false false false false false false false false false true false false false true false false true true false false false true false false false false false) (@list @t514 @t300 @t56 @t510 @t508 @t503 @t500 @t497 @t498 @t404 @t300 @t56 @t438 @t439 @t424 @t425 @t395 @t397 @t399 @t408 @t404 @t411 @t300 @t401 @t384 @t387 @t366 @t279 @t368 @t369 @t298 @t328 @t331 @t56 @t286 @t289 @t291))) % 47.75/47.94 (step @p813 :rule cnf_or_neg :args (@t302 4)) % 47.75/47.94 (step @p814 :rule chain_m_resolution :premises (@p813 @p360) :args ((not @t294) @t312 @t313)) % 47.75/47.94 (step @p815 :rule cnf_and_neg :args (@t294)) % 47.75/47.94 (step @p816 :rule chain_m_resolution :premises (@p815 @p814 @p812) :args ((not @t284) (@list true false) (@list @t294 @t293))) % 47.75/47.94 (step @p817 :rule bool-double-not-elim :args (@t282)) % 47.75/47.94 (step @p818 :rule refl :args (@t284)) % 47.75/47.94 (step @p819 :rule nary_cong :premises (@p818 @p817) :args ((or @t284 (not @t283)))) % 47.75/47.94 (step @p820 :rule cnf_or_neg :args (@t284 0)) % 47.75/47.94 (step @p821 :rule eq_resolve :premises (@p820 @p819)) % 47.75/47.94 (step @p822 :rule reordering :premises (@p821) :args ((or @t282 @t284))) % 47.75/47.94 (step @p823 :rule chain_m_resolution :premises (@p822 @p816) :args (@t282 @t312 @t515)) % 47.75/47.94 (step @p824 :rule nary_cong :premises (@p818 @p546) :args ((or @t284 @t390))) % 47.75/47.94 (step @p825 :rule cnf_or_neg :args (@t284 1)) % 47.75/47.94 (step @p826 :rule eq_resolve :premises (@p825 @p824)) % 47.75/47.94 (step @p827 :rule reordering :premises (@p826) :args ((or @t279 @t284))) % 47.75/47.94 (step @p828 :rule chain_m_resolution :premises (@p827 @p816) :args (@t279 @t312 @t515)) % 47.75/47.94 (step @p829 :rule cnf_and_neg :args (@t295)) % 47.75/47.94 (step @p830 :rule reordering :premises (@p829) :args ((or @t283 @t295 @t280))) % 47.75/47.94 (step @p831 false :rule chain_m_resolution :premises (@p830 @p828 @p823 @p362) :args (false (@list false false true) (@list @t279 @t282 @t295))) % 47.75/47.94 ) % 47.75/47.94 % SZS output end Proof % 47.75/47.94 % cvc5 exiting %------------------------------------------------------------------------------