%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC101+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 : n006.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 08:58:03 AM UTC 2026 % Result : Theorem 0.39s 0.74s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWC101+1 : TPTP v9.2.1. Released v2.4.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n006.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 19:15:19 EDT 2026 % 0.18/0.35 % CPUTime : % 0.29/0.53 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.74 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.39/0.74 % SZS status Theorem % 0.39/0.74 % SZS output start Proof % 0.39/0.74 ( % 0.39/0.74 (declare-sort $$unsorted 0) % 0.39/0.74 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.39/0.74 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.39/0.74 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.39/0.74 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.39/0.74 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.39/0.74 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.39/0.74 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.39/0.74 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.39/0.74 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.39/0.74 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.39/0.74 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.39/0.74 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.74 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.39/0.74 (declare-const tptp.nil $$unsorted) % 0.39/0.74 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.39/0.74 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.39/0.74 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.39/0.74 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.39/0.74 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.39/0.74 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.39/0.74 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.39/0.74 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.39/0.74 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.39/0.74 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.39/0.74 (define @t1 () (@var "V" $$unsorted)) % 0.39/0.74 (define @t2 () (@var "U" $$unsorted)) % 0.39/0.74 (define @t3 () (= @t2 @t1)) % 0.39/0.74 (define @t4 () (not @t3)) % 0.39/0.74 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.39/0.74 (define @t6 () (tptp.ssItem @t1)) % 0.39/0.74 (define @t7 () (@list @t1)) % 0.39/0.74 (define @t8 () (tptp.ssItem @t2)) % 0.39/0.74 (define @t9 () (@list @t2)) % 0.39/0.74 (define @t10 () (@var "X" $$unsorted)) % 0.39/0.74 (define @t11 () (tptp.cons @t1 @t10)) % 0.39/0.74 (define @t12 () (@var "W" $$unsorted)) % 0.39/0.74 (define @t13 () (tptp.ssList @t10)) % 0.39/0.74 (define @t14 () (@list @t10)) % 0.39/0.74 (define @t15 () (tptp.ssList @t12)) % 0.39/0.74 (define @t16 () (@list @t12)) % 0.39/0.74 (define @t17 () (tptp.ssList @t2)) % 0.39/0.74 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.39/0.74 (define @t19 () (tptp.app @t1 @t12)) % 0.39/0.74 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.39/0.74 (define @t21 () (tptp.ssList @t1)) % 0.39/0.74 (define @t22 () (tptp.app @t12 @t1)) % 0.39/0.74 (define @t23 () (tptp.rearsegP @t2 @t1)) % 0.39/0.74 (define @t24 () (tptp.segmentP @t2 @t1)) % 0.39/0.74 (define @t25 () (tptp.leq @t12 @t1)) % 0.39/0.74 (define @t26 () (tptp.leq @t1 @t12)) % 0.39/0.74 (define @t27 () (@var "Z" $$unsorted)) % 0.39/0.74 (define @t28 () (@var "Y" $$unsorted)) % 0.39/0.74 (define @t29 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t28)) (tptp.cons @t12 @t27)) @t2)) % 0.39/0.74 (define @t30 () (tptp.ssList @t27)) % 0.39/0.74 (define @t31 () (@list @t27)) % 0.39/0.74 (define @t32 () (tptp.ssList @t28)) % 0.39/0.74 (define @t33 () (@list @t28)) % 0.39/0.74 (define @t34 () (tptp.ssItem @t12)) % 0.39/0.74 (define @t35 () (tptp.lt @t1 @t12)) % 0.39/0.74 (define @t36 () (= @t1 @t12)) % 0.39/0.74 (define @t37 () (tptp.equalelemsP @t2)) % 0.39/0.74 (define @t38 () (forall @t7 (=> @t21 @t5))) % 0.39/0.74 (define @t39 () (=> @t17 @t38)) % 0.39/0.74 (define @t40 () (forall @t9 @t39)) % 0.39/0.74 (define @t41 () (tptp.cons @t1 @t2)) % 0.39/0.74 (define @t42 () (tptp.ssList tptp.nil)) % 0.39/0.74 (define @t43 () (= @t1 @t2)) % 0.39/0.74 (define @t44 () (tptp.cons @t12 @t1)) % 0.39/0.74 (define @t45 () (= tptp.nil @t2)) % 0.39/0.74 (define @t46 () (tptp.hd @t2)) % 0.39/0.74 (define @t47 () (not @t45)) % 0.39/0.74 (define @t48 () (tptp.tl @t2)) % 0.39/0.74 (define @t49 () (tptp.app @t2 @t1)) % 0.39/0.74 (define @t50 () (tptp.app @t1 @t2)) % 0.39/0.74 (define @t51 () (tptp.leq @t1 @t2)) % 0.39/0.74 (define @t52 () (tptp.leq @t2 @t1)) % 0.39/0.74 (define @t53 () (tptp.geq @t2 @t1)) % 0.39/0.74 (define @t54 () (tptp.lt @t1 @t2)) % 0.39/0.74 (define @t55 () (tptp.lt @t2 @t1)) % 0.39/0.74 (define @t56 () (tptp.lt @t2 @t12)) % 0.39/0.74 (define @t57 () (tptp.gt @t2 @t1)) % 0.39/0.74 (define @t58 () (tptp.memberP @t12 @t2)) % 0.39/0.74 (define @t59 () (tptp.frontsegP @t1 @t2)) % 0.39/0.74 (define @t60 () (tptp.frontsegP @t2 @t2)) % 0.39/0.74 (define @t61 () (forall @t9 (=> @t17 @t60))) % 0.39/0.74 (define @t62 () (tptp.frontsegP (tptp.app @t2 @t12) @t1)) % 0.39/0.74 (define @t63 () (=> @t20 @t62)) % 0.39/0.74 (define @t64 () (forall @t16 (=> @t15 @t63))) % 0.39/0.74 (define @t65 () (=> @t21 @t64)) % 0.39/0.74 (define @t66 () (forall @t7 @t65)) % 0.39/0.74 (define @t67 () (=> @t17 @t66)) % 0.39/0.74 (define @t68 () (forall @t9 @t67)) % 0.39/0.74 (define @t69 () (tptp.app @t12 @t2)) % 0.39/0.74 (define @t70 () (tptp.cons @t2 tptp.nil)) % 0.39/0.74 (define @t71 () (tptp.hd @t1)) % 0.39/0.74 (define @t72 () (= tptp.nil @t1)) % 0.39/0.74 (define @t73 () (not @t72)) % 0.39/0.74 (define @t74 () (tptp.cons @t2 @t1)) % 0.39/0.74 (define @t75 () (= @t12 @t2)) % 0.39/0.74 (define @t76 () (and @t72 @t45)) % 0.39/0.74 (define @t77 () (tptp.neq @t2 tptp.nil)) % 0.39/0.74 (define @t78 () (and @t77 @t59)) % 0.39/0.74 (define @t79 () (not (= tptp.nil @t10))) % 0.39/0.74 (define @t80 () (and @t79 (= tptp.nil @t12))) % 0.39/0.74 (define @t81 () (tptp.cons @t27 tptp.nil)) % 0.39/0.74 (define @t82 () (@var "X2" $$unsorted)) % 0.39/0.74 (define @t83 () (tptp.app @t82 @t81)) % 0.39/0.74 (define @t84 () (tptp.ssList @t82)) % 0.39/0.74 (define @t85 () (and @t84 (= @t83 @t12))) % 0.39/0.74 (define @t86 () (@list @t82)) % 0.39/0.74 (define @t87 () (exists @t86 @t85)) % 0.39/0.74 (define @t88 () (@var "X1" $$unsorted)) % 0.39/0.74 (define @t89 () (tptp.app @t81 @t88)) % 0.39/0.74 (define @t90 () (tptp.ssList @t88)) % 0.39/0.74 (define @t91 () (and @t90 (= @t89 @t28) @t87)) % 0.39/0.74 (define @t92 () (@list @t88)) % 0.39/0.74 (define @t93 () (exists @t92 @t91)) % 0.39/0.74 (define @t94 () (tptp.ssItem @t27)) % 0.39/0.74 (define @t95 () (and @t94 @t93)) % 0.39/0.74 (define @t96 () (exists @t31 @t95)) % 0.39/0.74 (define @t97 () (not (tptp.equalelemsP @t12))) % 0.39/0.74 (define @t98 () (tptp.app @t12 @t28)) % 0.39/0.74 (define @t99 () (not (= @t98 @t10))) % 0.39/0.74 (define @t100 () (or @t99 @t97 @t96)) % 0.39/0.74 (define @t101 () (=> @t32 @t100)) % 0.39/0.74 (define @t102 () (forall @t33 @t101)) % 0.39/0.74 (define @t103 () (not (= @t2 @t12))) % 0.39/0.74 (define @t104 () (not (= @t1 @t10))) % 0.39/0.74 (define @t105 () (or @t104 @t103 @t102 @t80 @t76 @t78)) % 0.39/0.74 (define @t106 () (=> @t13 @t105)) % 0.39/0.74 (define @t107 () (forall @t14 @t106)) % 0.39/0.74 (define @t108 () (=> @t15 @t107)) % 0.39/0.74 (define @t109 () (forall @t16 @t108)) % 0.39/0.74 (define @t110 () (=> @t21 @t109)) % 0.39/0.74 (define @t111 () (forall @t7 @t110)) % 0.39/0.74 (define @t112 () (=> @t17 @t111)) % 0.39/0.74 (define @t113 () (forall @t9 @t112)) % 0.39/0.74 (define @t114 () (not @t113)) % 0.39/0.74 (define @t115 () (@var "BOUND_VARIABLE_11155" $$unsorted)) % 0.39/0.74 (define @t116 () (@var "BOUND_VARIABLE_10985" $$unsorted)) % 0.39/0.74 (define @t117 () (tptp.app @t81 @t116)) % 0.39/0.74 (define @t118 () (not (tptp.ssList @t116))) % 0.39/0.74 (define @t119 () (@var "BOUND_VARIABLE_10977" $$unsorted)) % 0.39/0.74 (define @t120 () (tptp.app @t119 @t81)) % 0.39/0.74 (define @t121 () (not (= @t2 @t120))) % 0.39/0.74 (define @t122 () (not (tptp.ssList @t119))) % 0.39/0.74 (define @t123 () (not @t94)) % 0.39/0.74 (define @t124 () (@list @t27 @t119 @t116)) % 0.39/0.74 (define @t125 () (not (forall @t124 (or @t123 @t122 @t121 @t118 (not (= @t117 @t115)))))) % 0.39/0.74 (define @t126 () (not (tptp.ssList @t115))) % 0.39/0.74 (define @t127 () (= @t2 tptp.nil)) % 0.39/0.74 (define @t128 () (tptp.app @t2 @t115)) % 0.39/0.74 (define @t129 () (= tptp.nil @t128)) % 0.39/0.74 (define @t130 () (and (not @t129) @t127)) % 0.39/0.74 (define @t131 () (and @t77 (tptp.frontsegP @t128 @t2))) % 0.39/0.74 (define @t132 () (and @t129 @t127)) % 0.39/0.74 (define @t133 () (not (tptp.ssList @t128))) % 0.39/0.74 (define @t134 () (not @t37)) % 0.39/0.74 (define @t135 () (not @t17)) % 0.39/0.74 (define @t136 () (or @t135 @t134 @t133 @t132 @t131 @t130 @t126 @t125)) % 0.39/0.74 (define @t137 () (or @t133 @t132 @t131 @t130 @t126 @t125)) % 0.39/0.74 (define @t138 () (or @t135 @t134 @t137)) % 0.39/0.74 (define @t139 () (@list @t2 @t115)) % 0.39/0.74 (define @t140 () (forall @t139 @t138)) % 0.39/0.74 (define @t141 () (@list @t115)) % 0.39/0.74 (define @t142 () (forall @t141 @t138)) % 0.39/0.74 (define @t143 () (forall @t141 @t137)) % 0.39/0.74 (define @t144 () (@var "BOUND_VARIABLE_11113" $$unsorted)) % 0.39/0.74 (define @t145 () (@list @t144)) % 0.39/0.74 (define @t146 () (or @t135 @t134 @t143)) % 0.39/0.74 (define @t147 () (not (forall @t124 (or @t123 @t122 @t121 @t118 (not (= @t117 @t144)))))) % 0.39/0.74 (define @t148 () (not (tptp.ssList @t144))) % 0.39/0.74 (define @t149 () (tptp.app @t2 @t144)) % 0.39/0.74 (define @t150 () (= tptp.nil @t149)) % 0.39/0.74 (define @t151 () (and (not @t150) @t127)) % 0.39/0.74 (define @t152 () (and @t77 (tptp.frontsegP @t149 @t2))) % 0.39/0.74 (define @t153 () (and @t150 @t127)) % 0.39/0.74 (define @t154 () (not (tptp.ssList @t149))) % 0.39/0.74 (define @t155 () (or @t154 @t153 @t152 @t151 @t148 @t147)) % 0.39/0.74 (define @t156 () (@list @t144)) % 0.39/0.74 (define @t157 () (or @t135 @t134 (forall @t156 @t155))) % 0.39/0.74 (define @t158 () (not (= @t149 @t149))) % 0.39/0.74 (define @t159 () (= @t149 tptp.nil)) % 0.39/0.74 (define @t160 () (not @t159)) % 0.39/0.74 (define @t161 () (and @t160 @t127)) % 0.39/0.74 (define @t162 () (and @t159 @t127)) % 0.39/0.74 (define @t163 () (or @t154 @t162 @t152 @t161 @t148 @t158 @t147)) % 0.39/0.74 (define @t164 () (not (= @t1 @t149))) % 0.39/0.74 (define @t165 () (= @t1 tptp.nil)) % 0.39/0.74 (define @t166 () (not @t165)) % 0.39/0.74 (define @t167 () (and @t166 @t127)) % 0.39/0.74 (define @t168 () (and @t165 @t127)) % 0.39/0.74 (define @t169 () (not @t21)) % 0.39/0.74 (define @t170 () (or @t164 @t169 @t168 @t78 @t167 @t148 @t164 @t147)) % 0.39/0.74 (define @t171 () (or @t169 @t168 @t78 @t167 @t148 @t164 @t147)) % 0.39/0.74 (define @t172 () (forall @t7 @t171)) % 0.39/0.74 (define @t173 () (forall @t156 @t172)) % 0.39/0.74 (define @t174 () (forall (@list @t144 @t1) @t171)) % 0.39/0.74 (define @t175 () (@list @t1 @t144)) % 0.39/0.74 (define @t176 () (or @t148 @t164 @t147)) % 0.39/0.74 (define @t177 () (or @t169 @t168 @t78 @t167 @t176)) % 0.39/0.74 (define @t178 () (forall @t175 @t177)) % 0.39/0.74 (define @t179 () (forall @t156 @t177)) % 0.39/0.74 (define @t180 () (forall @t156 @t176)) % 0.39/0.74 (define @t181 () (@var "BOUND_VARIABLE_11065" $$unsorted)) % 0.39/0.74 (define @t182 () (@list @t181)) % 0.39/0.74 (define @t183 () (or @t169 @t168 @t78 @t167 @t180)) % 0.39/0.74 (define @t184 () (not (= @t117 @t181))) % 0.39/0.74 (define @t185 () (not (forall @t124 (or @t123 @t122 @t121 @t118 @t184)))) % 0.39/0.74 (define @t186 () (not (= @t1 (tptp.app @t2 @t181)))) % 0.39/0.74 (define @t187 () (not (tptp.ssList @t181))) % 0.39/0.74 (define @t188 () (or @t187 @t186 @t185)) % 0.39/0.74 (define @t189 () (@list @t181)) % 0.39/0.74 (define @t190 () (forall @t189 @t188)) % 0.39/0.74 (define @t191 () (or @t169 @t168 @t78 @t167 @t190)) % 0.39/0.74 (define @t192 () (forall @t7 @t191)) % 0.39/0.74 (define @t193 () (or @t135 @t134 @t192)) % 0.39/0.74 (define @t194 () (or @t135 @t134 @t191)) % 0.39/0.74 (define @t195 () (or @t169 @t168 @t78 @t135 @t134 @t167 @t190)) % 0.39/0.74 (define @t196 () (or @t168 @t78 @t169 @t135 @t134 @t167 @t190)) % 0.39/0.74 (define @t197 () (or @t135 @t134 @t167 @t190)) % 0.39/0.74 (define @t198 () (or @t135 @t134 @t167 @t188)) % 0.39/0.74 (define @t199 () (or @t135 @t134 @t167 @t187 @t186 @t185)) % 0.39/0.74 (define @t200 () (not (= @t2 @t2))) % 0.39/0.74 (define @t201 () (or @t135 @t200 @t134 @t167 @t187 @t186 @t185)) % 0.39/0.74 (define @t202 () (not (= @t12 @t120))) % 0.39/0.74 (define @t203 () (not (forall @t124 (or @t123 @t122 @t202 @t118 @t184)))) % 0.39/0.74 (define @t204 () (not (= @t1 (tptp.app @t12 @t181)))) % 0.39/0.74 (define @t205 () (= @t12 tptp.nil)) % 0.39/0.74 (define @t206 () (and @t166 @t205)) % 0.39/0.74 (define @t207 () (not @t15)) % 0.39/0.74 (define @t208 () (or @t103 @t207 @t103 @t97 @t206 @t187 @t204 @t203)) % 0.39/0.74 (define @t209 () (or @t207 @t103 @t97 @t206 @t187 @t204 @t203)) % 0.39/0.74 (define @t210 () (forall @t16 @t209)) % 0.39/0.74 (define @t211 () (forall @t189 @t210)) % 0.39/0.74 (define @t212 () (forall (@list @t181 @t12) @t209)) % 0.39/0.74 (define @t213 () (@list @t12 @t181)) % 0.39/0.74 (define @t214 () (or @t187 @t204 @t203)) % 0.39/0.74 (define @t215 () (or @t207 @t103 @t97 @t206 @t214)) % 0.39/0.74 (define @t216 () (forall @t213 @t215)) % 0.39/0.74 (define @t217 () (forall @t189 @t215)) % 0.39/0.74 (define @t218 () (forall @t189 @t214)) % 0.39/0.74 (define @t219 () (@var "BOUND_VARIABLE_11020" $$unsorted)) % 0.39/0.74 (define @t220 () (@list @t219)) % 0.39/0.74 (define @t221 () (or @t207 @t103 @t97 @t206 @t218)) % 0.39/0.74 (define @t222 () (not (forall @t124 (or @t123 @t122 @t202 @t118 (not (= @t117 @t219)))))) % 0.39/0.74 (define @t223 () (tptp.app @t12 @t219)) % 0.39/0.74 (define @t224 () (not (= @t1 @t223))) % 0.39/0.74 (define @t225 () (not (tptp.ssList @t219))) % 0.39/0.74 (define @t226 () (or @t225 @t224 @t222)) % 0.39/0.74 (define @t227 () (@list @t219)) % 0.39/0.74 (define @t228 () (forall @t227 @t226)) % 0.39/0.74 (define @t229 () (or @t207 @t103 @t97 @t206 @t228)) % 0.39/0.74 (define @t230 () (forall @t16 @t229)) % 0.39/0.74 (define @t231 () (or @t168 @t78 @t169 @t230)) % 0.39/0.74 (define @t232 () (or @t168 @t78 @t169 @t229)) % 0.39/0.74 (define @t233 () (or @t207 @t103 @t168 @t78 @t97 @t169 @t206 @t228)) % 0.39/0.74 (define @t234 () (or @t103 @t168 @t78 @t97 @t169 @t206 @t228)) % 0.39/0.74 (define @t235 () (or @t169 @t206 @t228)) % 0.39/0.74 (define @t236 () (or @t169 @t206 @t226)) % 0.39/0.74 (define @t237 () (or @t169 @t206 @t225 @t224 @t222)) % 0.39/0.74 (define @t238 () (not (= @t1 @t1))) % 0.39/0.74 (define @t239 () (or @t169 @t238 @t206 @t225 @t224 @t222)) % 0.39/0.74 (define @t240 () (not (= @t10 @t223))) % 0.39/0.74 (define @t241 () (and (not (= @t10 tptp.nil)) @t205)) % 0.39/0.74 (define @t242 () (not @t13)) % 0.39/0.74 (define @t243 () (or @t104 @t242 @t104 @t241 @t225 @t240 @t222)) % 0.39/0.74 (define @t244 () (or @t242 @t104 @t241 @t225 @t240 @t222)) % 0.39/0.74 (define @t245 () (forall @t14 @t244)) % 0.39/0.74 (define @t246 () (forall @t227 @t245)) % 0.39/0.74 (define @t247 () (forall (@list @t219 @t10) @t244)) % 0.39/0.74 (define @t248 () (@list @t10 @t219)) % 0.39/0.74 (define @t249 () (not (= @t219 @t117))) % 0.39/0.74 (define @t250 () (or @t123 @t122 @t202 @t118 @t249)) % 0.39/0.74 (define @t251 () (forall @t124 @t250)) % 0.39/0.74 (define @t252 () (not @t251)) % 0.39/0.74 (define @t253 () (or @t242 @t104 @t241 @t225 @t240 @t252)) % 0.39/0.74 (define @t254 () (or @t225 @t240 @t252)) % 0.39/0.74 (define @t255 () (or @t242 @t104 @t241 @t254)) % 0.39/0.74 (define @t256 () (forall @t248 @t255)) % 0.39/0.74 (define @t257 () (forall @t227 @t255)) % 0.39/0.74 (define @t258 () (forall @t227 @t254)) % 0.39/0.74 (define @t259 () (or @t242 @t104 @t241 @t258)) % 0.39/0.74 (define @t260 () (not (= @t28 @t117))) % 0.39/0.74 (define @t261 () (or @t123 @t122 @t202 @t118 @t260)) % 0.39/0.74 (define @t262 () (not (forall @t124 @t261))) % 0.39/0.74 (define @t263 () (not (= @t10 @t98))) % 0.39/0.74 (define @t264 () (not @t32)) % 0.39/0.74 (define @t265 () (or @t264 @t263 @t262)) % 0.39/0.74 (define @t266 () (forall @t33 @t265)) % 0.39/0.74 (define @t267 () (or @t242 @t104 @t241 @t266)) % 0.39/0.74 (define @t268 () (forall @t14 @t267)) % 0.39/0.74 (define @t269 () (or @t103 @t168 @t78 @t97 @t268)) % 0.39/0.74 (define @t270 () (or @t103 @t168 @t78 @t97 @t267)) % 0.39/0.74 (define @t271 () (or @t242 @t104 @t103 @t241 @t168 @t78 @t97 @t266)) % 0.39/0.74 (define @t272 () (or @t104 @t103 @t241 @t168 @t78 @t97 @t266)) % 0.39/0.74 (define @t273 () (or @t97 @t266)) % 0.39/0.74 (define @t274 () (or @t97 @t265)) % 0.39/0.74 (define @t275 () (or @t264 @t263 @t97 @t262)) % 0.39/0.74 (define @t276 () (or @t263 @t97 @t262)) % 0.39/0.74 (define @t277 () (or @t118 @t260)) % 0.39/0.74 (define @t278 () (or @t122 @t202)) % 0.39/0.74 (define @t279 () (or @t123 @t278 @t277)) % 0.39/0.74 (define @t280 () (forall @t124 @t279)) % 0.39/0.74 (define @t281 () (forall (@list @t119 @t116) @t279)) % 0.39/0.74 (define @t282 () (forall (@list @t116) @t277)) % 0.39/0.74 (define @t283 () (forall (@list @t119) @t278)) % 0.39/0.74 (define @t284 () (or @t123 @t283 @t282)) % 0.39/0.74 (define @t285 () (= @t28 @t89)) % 0.39/0.74 (define @t286 () (not @t285)) % 0.39/0.74 (define @t287 () (not @t90)) % 0.39/0.74 (define @t288 () (or @t287 @t286)) % 0.39/0.74 (define @t289 () (forall @t92 @t288)) % 0.39/0.74 (define @t290 () (= @t12 @t83)) % 0.39/0.74 (define @t291 () (forall @t86 (or (not @t84) (not @t290)))) % 0.39/0.74 (define @t292 () (or @t123 @t291 @t289)) % 0.39/0.74 (define @t293 () (or @t291 @t289)) % 0.39/0.74 (define @t294 () (not @t293)) % 0.39/0.74 (define @t295 () (and @t94 @t294)) % 0.39/0.74 (define @t296 () (forall @t31 (not @t295))) % 0.39/0.74 (define @t297 () (not @t296)) % 0.39/0.74 (define @t298 () (or @t291 @t288)) % 0.39/0.74 (define @t299 () (or @t287 @t286 @t291)) % 0.39/0.74 (define @t300 () (not @t291)) % 0.39/0.74 (define @t301 () (not @t300)) % 0.39/0.74 (define @t302 () (or @t287 @t286 @t301)) % 0.39/0.74 (define @t303 () (and @t90 @t285 @t300)) % 0.39/0.74 (define @t304 () (forall @t92 (not @t303))) % 0.39/0.74 (define @t305 () (not @t304)) % 0.39/0.74 (define @t306 () (and @t84 @t290)) % 0.39/0.74 (define @t307 () (forall @t86 (not @t306))) % 0.39/0.74 (define @t308 () (not @t307)) % 0.39/0.74 (define @t309 () (forall @t139 @t136)) % 0.39/0.74 (define @t310 () (@quantifiers_skolemize @t309 1)) % 0.39/0.74 (define @t311 () (not (= @t117 @t310))) % 0.39/0.74 (define @t312 () (@quantifiers_skolemize @t309 0)) % 0.39/0.74 (define @t313 () (tptp.ssList @t310)) % 0.39/0.74 (define @t314 () (not @t313)) % 0.39/0.74 (define @t315 () (= tptp.nil @t312)) % 0.39/0.74 (define @t316 () (tptp.app @t312 @t310)) % 0.39/0.74 (define @t317 () (= tptp.nil @t316)) % 0.39/0.74 (define @t318 () (not @t317)) % 0.39/0.74 (define @t319 () (and @t318 @t315)) % 0.39/0.74 (define @t320 () (tptp.frontsegP @t316 @t312)) % 0.39/0.74 (define @t321 () (tptp.neq @t312 tptp.nil)) % 0.39/0.74 (define @t322 () (and @t321 @t320)) % 0.39/0.74 (define @t323 () (and @t317 @t315)) % 0.39/0.74 (define @t324 () (not (tptp.ssList @t316))) % 0.39/0.74 (define @t325 () (not (tptp.equalelemsP @t312))) % 0.39/0.74 (define @t326 () (tptp.ssList @t312)) % 0.39/0.74 (define @t327 () (not @t326)) % 0.39/0.74 (define @t328 () (or @t327 @t325 @t324 @t323 @t322 @t319 @t314 (not (forall @t124 (or @t123 @t122 (not (= @t120 @t312)) @t118 @t311))))) % 0.39/0.74 (define @t329 () (not @t328)) % 0.39/0.74 (define @t330 () (not @t309)) % 0.39/0.74 (define @t331 () (not (= @t312 @t120))) % 0.39/0.74 (define @t332 () (or @t123 @t122 @t331 @t118 @t311)) % 0.39/0.74 (define @t333 () (forall @t124 @t332)) % 0.39/0.74 (define @t334 () (not @t333)) % 0.39/0.74 (define @t335 () (= @t312 tptp.nil)) % 0.39/0.74 (define @t336 () (and @t318 @t335)) % 0.39/0.74 (define @t337 () (and @t317 @t335)) % 0.39/0.74 (define @t338 () (or @t327 @t325 @t324 @t337 @t322 @t336 @t314 @t334)) % 0.39/0.74 (define @t339 () (not @t338)) % 0.39/0.74 (define @t340 () (@list true)) % 0.39/0.74 (define @t341 () (@list @t328)) % 0.39/0.74 (define @t342 () (@var "BOUND_VARIABLE_9119" $$unsorted)) % 0.39/0.74 (define @t343 () (= (tptp.neq @t2 @t342) (not (= @t2 @t342)))) % 0.39/0.74 (define @t344 () (not (tptp.ssList @t342))) % 0.39/0.74 (define @t345 () (or @t135 @t344 @t343)) % 0.39/0.74 (define @t346 () (or @t344 @t343)) % 0.39/0.74 (define @t347 () (or @t135 @t346)) % 0.39/0.74 (define @t348 () (@list @t2 @t342)) % 0.39/0.74 (define @t349 () (forall @t348 @t347)) % 0.39/0.74 (define @t350 () (@list @t342)) % 0.39/0.74 (define @t351 () (forall @t350 @t347)) % 0.39/0.74 (define @t352 () (forall @t350 @t346)) % 0.39/0.74 (define @t353 () (or @t135 @t352)) % 0.39/0.74 (define @t354 () (forall @t7 (or @t169 @t5))) % 0.39/0.74 (define @t355 () (not @t335)) % 0.39/0.74 (define @t356 () (= @t321 @t355)) % 0.39/0.74 (define @t357 () (not @t42)) % 0.39/0.74 (define @t358 () (or @t327 @t357 @t356)) % 0.39/0.74 (define @t359 () (forall @t348 @t345)) % 0.39/0.74 (define @t360 () (not @t315)) % 0.39/0.74 (define @t361 () (= @t321 @t360)) % 0.39/0.74 (define @t362 () (or @t327 @t357 @t361)) % 0.39/0.74 (define @t363 () (@var "BOUND_VARIABLE_9846" $$unsorted)) % 0.39/0.74 (define @t364 () (@var "BOUND_VARIABLE_9848" $$unsorted)) % 0.39/0.74 (define @t365 () (tptp.frontsegP (tptp.app @t2 @t364) @t363)) % 0.39/0.74 (define @t366 () (not (tptp.ssList @t364))) % 0.39/0.74 (define @t367 () (not (tptp.frontsegP @t2 @t363))) % 0.39/0.74 (define @t368 () (not (tptp.ssList @t363))) % 0.39/0.74 (define @t369 () (or @t368 @t367 @t366 @t365)) % 0.39/0.74 (define @t370 () (or @t135 @t369)) % 0.39/0.74 (define @t371 () (forall (@list @t2 @t363 @t364) @t370)) % 0.39/0.74 (define @t372 () (@list @t363 @t364)) % 0.39/0.74 (define @t373 () (forall @t372 @t370)) % 0.39/0.74 (define @t374 () (forall @t372 @t369)) % 0.39/0.74 (define @t375 () (@var "BOUND_VARIABLE_9830" $$unsorted)) % 0.39/0.74 (define @t376 () (or @t135 @t374)) % 0.39/0.74 (define @t377 () (tptp.frontsegP (tptp.app @t2 @t375) @t1)) % 0.39/0.74 (define @t378 () (not (tptp.ssList @t375))) % 0.39/0.74 (define @t379 () (not @t20)) % 0.39/0.74 (define @t380 () (or @t169 @t379 @t378 @t377)) % 0.39/0.74 (define @t381 () (@list @t1 @t375)) % 0.39/0.74 (define @t382 () (forall @t381 @t380)) % 0.39/0.74 (define @t383 () (or @t378 @t377)) % 0.39/0.74 (define @t384 () (or @t169 @t379 @t383)) % 0.39/0.74 (define @t385 () (forall @t381 @t384)) % 0.39/0.74 (define @t386 () (@list @t375)) % 0.39/0.74 (define @t387 () (forall @t386 @t384)) % 0.39/0.74 (define @t388 () (forall @t386 @t383)) % 0.39/0.74 (define @t389 () (or @t169 @t379 @t388)) % 0.39/0.74 (define @t390 () (or @t207 @t62)) % 0.39/0.74 (define @t391 () (forall @t16 @t390)) % 0.39/0.74 (define @t392 () (or @t169 @t379 @t391)) % 0.39/0.74 (define @t393 () (or @t379 @t391)) % 0.39/0.74 (define @t394 () (or @t379 @t390)) % 0.39/0.74 (define @t395 () (or @t207 @t379 @t62)) % 0.39/0.74 (define @t396 () (tptp.frontsegP @t312 @t312)) % 0.39/0.74 (define @t397 () (or @t327 @t396)) % 0.39/0.74 (define @t398 () (not @t396)) % 0.39/0.74 (define @t399 () (or @t327 @t327 @t398 @t314 @t320)) % 0.39/0.74 (define @t400 () (@list true false)) % 0.39/0.74 (define @t401 () (not @t361)) % 0.39/0.74 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.39/0.74 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.39/0.74 (assume @p3 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.memberP @t2 @t1) (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t12 @t11) @t2))))))))))) % 0.39/0.74 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.39/0.74 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.39/0.74 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t23 (exists @t16 (and @t15 (= @t22 @t2))))))))) % 0.39/0.74 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t24 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.39/0.74 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not (and @t26 @t25))))))))))))))))) % 0.39/0.74 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t26 @t25)))))))))))))))) % 0.39/0.74 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (or @t35 (tptp.lt @t12 @t1))))))))))))))))) % 0.39/0.74 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t26))))))))))))))) % 0.39/0.74 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 @t35))))))))))))))) % 0.39/0.74 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (forall @t31 (=> @t30 (=> @t29 (not @t36)))))))))))))))) % 0.39/0.74 (assume @p14 (forall @t9 (=> @t17 (= @t37 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (forall @t14 (=> @t13 (forall @t33 (=> @t32 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t28))) @t2) @t36))))))))))))) % 0.39/0.74 (assume @p15 @t40) % 0.39/0.74 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t41)))))) % 0.39/0.74 (assume @p17 @t42) % 0.39/0.74 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t41 @t2))))))) % 0.39/0.74 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t43))))))))))) % 0.39/0.74 (assume @p20 (forall @t9 (=> @t17 (or @t45 (exists @t7 (and @t21 (exists @t16 (and @t34 (= @t44 @t2))))))))) % 0.39/0.74 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t41))))))) % 0.39/0.74 (assume @p22 (forall @t9 (=> @t17 (=> @t47 (tptp.ssItem @t46))))) % 0.39/0.74 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t41) @t1)))))) % 0.39/0.74 (assume @p24 (forall @t9 (=> @t17 (=> @t47 (tptp.ssList @t48))))) % 0.39/0.74 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t41) @t2)))))) % 0.39/0.74 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t49)))))) % 0.39/0.74 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t34 (= (tptp.cons @t12 @t50) (tptp.app @t44 @t2))))))))) % 0.39/0.74 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.39/0.74 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t52 @t51) @t3)))))) % 0.39/0.74 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t52 @t26) (tptp.leq @t2 @t12))))))))) % 0.39/0.74 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.39/0.74 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t53 @t51)))))) % 0.39/0.74 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t55 (not @t54))))))) % 0.39/0.74 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t34 (=> (and @t55 @t35) @t56)))))))) % 0.39/0.74 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t57 @t54)))))) % 0.39/0.74 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t58))))))))) % 0.39/0.74 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t58))))))))) % 0.39/0.74 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.39/0.74 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.39/0.74 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.39/0.74 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 @t59) @t3)))))) % 0.39/0.74 (assume @p42 @t61) % 0.39/0.74 (assume @p43 @t68) % 0.39/0.74 (assume @p44 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (= (tptp.frontsegP (tptp.cons @t2 @t12) @t11) (and @t3 (tptp.frontsegP @t12 @t10)))))))))))) % 0.39/0.74 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.39/0.74 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t45)))) % 0.39/0.74 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t23 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.39/0.74 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t23 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.39/0.74 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.39/0.74 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t23 (tptp.rearsegP @t69 @t1))))))))) % 0.39/0.74 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) 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0.39/0.74 (step @p490 :rule refl :args (@t328)) % 0.39/0.74 (step @p491 :rule nary_cong :premises (@p490 @p489) :args ((or @t328 (not @t327)))) % 0.39/0.74 (step @p492 :rule cnf_or_neg :args (@t328 0)) % 0.39/0.74 (step @p493 :rule eq_resolve :premises (@p492 @p491)) % 0.39/0.74 (step @p494 :rule reordering :premises (@p493) :args ((or @t326 @t328))) % 0.39/0.74 (step @p495 :rule chain_m_resolution :premises (@p494 @p452) :args (@t326 @t340 @t341)) % 0.39/0.74 (step @p496 :rule cnf_or_pos :args (@t362)) % 0.39/0.74 (step @p497 :rule reordering :premises (@p496) :args ((or @t357 @t327 @t361 (not @t362)))) % 0.39/0.74 (step @p498 :rule chain_m_resolution :premises (@p497 @p17 @p495 @p488) :args (@t361 (@list false false false) (@list @t42 @t326 @t362))) % 0.39/0.74 (step @p499 :rule aci_norm :args ((= @t370 (or @t135 @t368 @t367 @t366 @t365)))) % 0.39/0.74 (step @p500 :rule cong :premises (@p499) :args (@t371)) % 0.39/0.74 (step @p501 :rule quant-merge-prenex :args ((= (forall @t9 @t373) @t371))) % 0.39/0.74 (step @p502 :rule alpha_equiv :args (@t374 (@list @t363 @t364) (@list @t1 @t375))) % 0.39/0.74 (step @p503 :rule nary_cong :premises (@p103 @p502) :args (@t376)) % 0.39/0.74 (step @p504 :rule quant-miniscope-or :args ((= @t373 @t376))) % 0.39/0.74 (step @p505 :rule trans :premises (@p504 @p503)) % 0.39/0.74 (step @p506 :rule symm :premises (@p505)) % 0.39/0.74 (step @p507 :rule cong :premises (@p506) :args ((forall @t9 (or @t135 @t382)))) % 0.39/0.74 (step @p508 :rule trans :premises (@p507 @p501)) % 0.39/0.74 (step @p509 :rule trans :premises (@p508 @p500)) % 0.39/0.74 (step @p510 :rule bool-impl-elim :args (@t17 @t382)) % 0.39/0.74 (step @p511 :rule cong :premises (@p510) :args ((forall @t9 (=> @t17 @t382)))) % 0.39/0.74 (step @p512 :rule trans :premises (@p511 @p509)) % 0.39/0.74 (step @p513 :rule aci_norm :args ((= @t384 @t380))) % 0.39/0.74 (step @p514 :rule cong :premises (@p513) :args (@t385)) % 0.39/0.74 (step @p515 :rule quant-merge-prenex :args ((= (forall @t7 @t387) @t385))) % 0.39/0.74 (step @p516 :rule alpha_equiv :args (@t388 (@list @t375) (@list @t12))) % 0.39/0.74 (step @p517 :rule refl :args (@t379)) % 0.39/0.74 (step @p518 :rule nary_cong :premises (@p151 @p517 @p516) :args (@t389)) % 0.39/0.74 (step @p519 :rule quant-miniscope-or :args ((= @t387 @t389))) % 0.39/0.74 (step @p520 :rule trans :premises (@p519 @p518)) % 0.39/0.74 (step @p521 :rule symm :premises (@p520)) % 0.39/0.74 (step @p522 :rule cong :premises (@p521) :args ((forall @t7 @t392))) % 0.39/0.74 (step @p523 :rule trans :premises (@p522 @p515)) % 0.39/0.74 (step @p524 :rule trans :premises (@p523 @p514)) % 0.39/0.74 (step @p525 :rule aci_norm :args ((= (or @t169 @t393) @t392))) % 0.39/0.74 (step @p526 :rule bool-impl-elim :args (@t21 @t393)) % 0.39/0.74 (step @p527 :rule trans :premises (@p526 @p525)) % 0.39/0.74 (step @p528 :rule cong :premises (@p527) :args ((forall @t7 (=> @t21 @t393)))) % 0.39/0.74 (step @p529 :rule trans :premises (@p528 @p524)) % 0.39/0.74 (step @p530 :rule quant-miniscope-or :args ((= (forall @t16 @t394) @t393))) % 0.39/0.74 (step @p531 :rule aci_norm :args ((= @t395 @t394))) % 0.39/0.74 (step @p532 :rule cong :premises (@p531) :args ((forall @t16 @t395))) % 0.39/0.74 (step @p533 :rule trans :premises (@p532 @p530)) % 0.39/0.74 (step @p534 :rule aci_norm :args ((= (or @t207 (or @t379 @t62)) @t395))) % 0.39/0.74 (step @p535 :rule bool-impl-elim :args (@t20 @t62)) % 0.39/0.74 (step @p536 :rule nary_cong :premises (@p196 @p535) :args ((or @t207 @t63))) % 0.39/0.74 (step @p537 :rule trans :premises (@p536 @p534)) % 0.39/0.74 (step @p538 :rule bool-impl-elim :args (@t15 @t63)) % 0.39/0.74 (step @p539 :rule trans :premises (@p538 @p537)) % 0.39/0.74 (step @p540 :rule cong :premises (@p539) :args (@t64)) % 0.39/0.74 (step @p541 :rule trans :premises (@p540 @p533)) % 0.39/0.74 (step @p542 :rule cong :premises (@p412 @p541) :args (@t65)) % 0.39/0.74 (step @p543 :rule cong :premises (@p542) :args (@t66)) % 0.39/0.74 (step @p544 :rule trans :premises (@p543 @p529)) % 0.39/0.74 (step @p545 :rule cong :premises (@p416 @p544) :args (@t67)) % 0.39/0.74 (step @p546 :rule cong :premises (@p545) :args (@t68)) % 0.39/0.74 (step @p547 :rule trans :premises (@p546 @p512)) % 0.39/0.74 (step @p548 :rule eq_resolve :premises (@p43 @p547)) % 0.39/0.74 (step @p549 :rule instantiate :premises (@p548) :args ((@list @t312 @t312 @t310))) % 0.39/0.74 (step @p550 :rule bool-impl-elim :args (@t17 @t60)) % 0.39/0.74 (step @p551 :rule cong :premises (@p550) :args (@t61)) % 0.39/0.74 (step @p552 :rule eq_resolve :premises (@p42 @p551)) % 0.39/0.74 (step @p553 :rule instantiate :premises (@p552) :args ((@list @t312))) % 0.39/0.74 (step @p554 :rule cnf_or_pos :args (@t397)) % 0.39/0.74 (step @p555 :rule reordering :premises (@p554) :args ((or @t327 @t396 (not @t397)))) % 0.39/0.74 (step @p556 :rule chain_m_resolution :premises (@p555 @p495 @p553) :args (@t396 (@list false false) (@list @t326 @t397))) % 0.39/0.74 (step @p557 :rule bool-double-not-elim :args (@t313)) % 0.39/0.74 (step @p558 :rule nary_cong :premises (@p490 @p557) :args ((or @t328 (not @t314)))) % 0.39/0.74 (step @p559 :rule cnf_or_neg :args (@t328 6)) % 0.39/0.74 (step @p560 :rule eq_resolve :premises (@p559 @p558)) % 0.39/0.74 (step @p561 :rule reordering :premises (@p560) :args ((or @t313 @t328))) % 0.39/0.74 (step @p562 :rule chain_m_resolution :premises (@p561 @p452) :args (@t313 @t340 @t341)) % 0.39/0.74 (step @p563 :rule cnf_or_pos :args (@t399)) % 0.39/0.74 (step @p564 :rule factoring :premises (@p563)) % 0.39/0.74 (step @p565 :rule reordering :premises (@p564) :args ((or @t327 @t320 @t314 @t398 (not @t399)))) % 0.39/0.74 (step @p566 :rule chain_m_resolution :premises (@p565 @p495 @p562 @p556 @p549) :args (@t320 (@list false false false false) (@list @t326 @t313 @t396 @t399))) % 0.39/0.74 (step @p567 :rule cnf_or_neg :args (@t328 4)) % 0.39/0.74 (step @p568 :rule chain_m_resolution :premises (@p567 @p452) :args ((not @t322) @t340 @t341)) % 0.39/0.74 (step @p569 :rule cnf_and_neg :args (@t322)) % 0.39/0.74 (step @p570 :rule chain_m_resolution :premises (@p569 @p568 @p566) :args ((not @t321) @t400 (@list @t322 @t320))) % 0.39/0.74 (step @p571 :rule bool-double-not-elim :args (@t315)) % 0.39/0.74 (step @p572 :rule refl :args (@t401)) % 0.39/0.74 (step @p573 :rule nary_cong :premises (@p572 @p476 @p571) :args ((or @t401 @t321 (not @t360)))) % 0.39/0.74 (step @p574 :rule cnf_equiv_pos2 :args (@t361)) % 0.39/0.74 (step @p575 :rule eq_resolve :premises (@p574 @p573)) % 0.39/0.74 (step @p576 :rule reordering :premises (@p575) :args ((or @t321 @t315 @t401))) % 0.39/0.74 (step @p577 :rule chain_m_resolution :premises (@p576 @p570 @p498) :args (@t315 @t400 (@list @t321 @t361))) % 0.39/0.74 (step @p578 :rule cnf_or_neg :args (@t328 3)) % 0.39/0.74 (step @p579 :rule chain_m_resolution :premises (@p578 @p452) :args ((not @t323) @t340 @t341)) % 0.39/0.74 (step @p580 :rule cnf_and_neg :args (@t323)) % 0.39/0.74 (step @p581 :rule reordering :premises (@p580) :args ((or @t318 @t323 @t360))) % 0.39/0.74 (step @p582 :rule chain_m_resolution :premises (@p581 @p579 @p577) :args (@t318 @t400 (@list @t323 @t315))) % 0.39/0.74 (step @p583 :rule refl :args (@t360)) % 0.39/0.74 (step @p584 :rule bool-double-not-elim :args (@t317)) % 0.39/0.74 (step @p585 :rule refl :args (@t319)) % 0.39/0.74 (step @p586 :rule nary_cong :premises (@p585 @p584 @p583) :args ((or @t319 (not @t318) @t360))) % 0.39/0.74 (step @p587 :rule cnf_and_neg :args (@t319)) % 0.39/0.74 (step @p588 :rule eq_resolve :premises (@p587 @p586)) % 0.39/0.74 (step @p589 :rule reordering :premises (@p588) :args ((or @t317 @t319 @t360))) % 0.39/0.74 (step @p590 false :rule chain_m_resolution :premises (@p589 @p582 @p577 @p454) :args (false (@list true false true) (@list @t317 @t315 @t319))) % 0.39/0.74 ) % 0.39/0.74 % SZS output end Proof % 0.39/0.74 % cvc5 exiting %------------------------------------------------------------------------------