%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC028+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 : n013.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 08:57:45 AM UTC 2026 % Result : Theorem 0.52s 0.72s % Output : Proof 0.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC028+1 : TPTP v9.2.1. Released v2.4.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 19:10:15 EDT 2026 % 0.16/0.34 % CPUTime : % 0.31/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.52/0.72 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.52/0.72 % SZS status Theorem % 0.52/0.72 % SZS output start Proof % 0.52/0.72 ( % 0.52/0.72 (declare-sort $$unsorted 0) % 0.52/0.72 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.52/0.72 (declare-const tptp.nil $$unsorted) % 0.52/0.72 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.52/0.72 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.52/0.72 (define @t1 () (@var "V" $$unsorted)) % 0.52/0.72 (define @t2 () (@var "U" $$unsorted)) % 0.52/0.72 (define @t3 () (= @t2 @t1)) % 0.52/0.72 (define @t4 () (not @t3)) % 0.52/0.72 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.52/0.72 (define @t6 () (tptp.ssItem @t1)) % 0.52/0.72 (define @t7 () (@list @t1)) % 0.52/0.72 (define @t8 () (tptp.ssItem @t2)) % 0.52/0.72 (define @t9 () (@list @t2)) % 0.52/0.72 (define @t10 () (@var "X" $$unsorted)) % 0.52/0.72 (define @t11 () (tptp.cons @t1 @t10)) % 0.52/0.72 (define @t12 () (@var "W" $$unsorted)) % 0.52/0.72 (define @t13 () (tptp.ssList @t10)) % 0.52/0.72 (define @t14 () (@list @t10)) % 0.52/0.72 (define @t15 () (tptp.ssList @t12)) % 0.52/0.72 (define @t16 () (@list @t12)) % 0.52/0.72 (define @t17 () (tptp.ssList @t2)) % 0.52/0.72 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.52/0.72 (define @t19 () (tptp.app @t1 @t12)) % 0.52/0.72 (define @t20 () (tptp.frontsegP @t2 @t1)) % 0.52/0.72 (define @t21 () (tptp.ssList @t1)) % 0.52/0.72 (define @t22 () (tptp.app @t12 @t1)) % 0.52/0.72 (define @t23 () (and @t15 (= @t22 @t2))) % 0.52/0.72 (define @t24 () (exists @t16 @t23)) % 0.52/0.72 (define @t25 () (tptp.rearsegP @t2 @t1)) % 0.52/0.72 (define @t26 () (= @t25 @t24)) % 0.52/0.72 (define @t27 () (=> @t21 @t26)) % 0.52/0.72 (define @t28 () (forall @t7 @t27)) % 0.52/0.72 (define @t29 () (=> @t17 @t28)) % 0.52/0.72 (define @t30 () (forall @t9 @t29)) % 0.52/0.72 (define @t31 () (tptp.segmentP @t2 @t1)) % 0.52/0.72 (define @t32 () (tptp.leq @t12 @t1)) % 0.52/0.72 (define @t33 () (tptp.leq @t1 @t12)) % 0.52/0.72 (define @t34 () (@var "Z" $$unsorted)) % 0.52/0.72 (define @t35 () (@var "Y" $$unsorted)) % 0.52/0.72 (define @t36 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t35)) (tptp.cons @t12 @t34)) @t2)) % 0.52/0.72 (define @t37 () (tptp.ssList @t34)) % 0.52/0.72 (define @t38 () (@list @t34)) % 0.52/0.72 (define @t39 () (tptp.ssList @t35)) % 0.52/0.72 (define @t40 () (@list @t35)) % 0.52/0.72 (define @t41 () (tptp.ssItem @t12)) % 0.52/0.72 (define @t42 () (tptp.lt @t1 @t12)) % 0.52/0.72 (define @t43 () (= @t1 @t12)) % 0.52/0.72 (define @t44 () (forall @t7 (=> @t21 @t5))) % 0.52/0.72 (define @t45 () (=> @t17 @t44)) % 0.52/0.72 (define @t46 () (forall @t9 @t45)) % 0.52/0.72 (define @t47 () (tptp.cons @t1 @t2)) % 0.52/0.72 (define @t48 () (tptp.ssList tptp.nil)) % 0.52/0.72 (define @t49 () (= @t1 @t2)) % 0.52/0.72 (define @t50 () (tptp.cons @t12 @t1)) % 0.52/0.72 (define @t51 () (= tptp.nil @t2)) % 0.52/0.72 (define @t52 () (tptp.hd @t2)) % 0.52/0.72 (define @t53 () (not @t51)) % 0.52/0.72 (define @t54 () (tptp.tl @t2)) % 0.52/0.72 (define @t55 () (tptp.app @t2 @t1)) % 0.52/0.72 (define @t56 () (tptp.app @t1 @t2)) % 0.52/0.72 (define @t57 () (tptp.app tptp.nil @t2)) % 0.52/0.72 (define @t58 () (=> @t17 (= @t57 @t2))) % 0.52/0.72 (define @t59 () (forall @t9 @t58)) % 0.52/0.72 (define @t60 () (tptp.leq @t1 @t2)) % 0.52/0.72 (define @t61 () (tptp.leq @t2 @t1)) % 0.52/0.72 (define @t62 () (tptp.geq @t2 @t1)) % 0.52/0.72 (define @t63 () (tptp.lt @t1 @t2)) % 0.52/0.72 (define @t64 () (tptp.lt @t2 @t1)) % 0.52/0.72 (define @t65 () (tptp.lt @t2 @t12)) % 0.52/0.72 (define @t66 () (tptp.gt @t2 @t1)) % 0.52/0.72 (define @t67 () (tptp.memberP @t12 @t2)) % 0.52/0.72 (define @t68 () (tptp.rearsegP @t1 @t12)) % 0.52/0.72 (define @t69 () (tptp.rearsegP @t1 @t2)) % 0.52/0.72 (define @t70 () (tptp.app @t12 @t2)) % 0.52/0.72 (define @t71 () (tptp.cons @t2 tptp.nil)) % 0.52/0.72 (define @t72 () (tptp.hd @t1)) % 0.52/0.72 (define @t73 () (= tptp.nil @t1)) % 0.52/0.72 (define @t74 () (not @t73)) % 0.52/0.72 (define @t75 () (tptp.cons @t2 @t1)) % 0.52/0.72 (define @t76 () (= @t12 @t2)) % 0.52/0.72 (define @t77 () (and @t73 @t51)) % 0.52/0.72 (define @t78 () (= tptp.nil @t55)) % 0.52/0.72 (define @t79 () (= @t78 @t77)) % 0.52/0.72 (define @t80 () (=> @t21 @t79)) % 0.52/0.72 (define @t81 () (forall @t7 @t80)) % 0.52/0.72 (define @t82 () (=> @t17 @t81)) % 0.52/0.72 (define @t83 () (forall @t9 @t82)) % 0.52/0.72 (define @t84 () (not (tptp.neq @t12 tptp.nil))) % 0.52/0.72 (define @t85 () (or @t84 (not (tptp.rearsegP @t10 @t12)))) % 0.52/0.72 (define @t86 () (not (= tptp.nil @t12))) % 0.52/0.72 (define @t87 () (not (= tptp.nil @t10))) % 0.52/0.72 (define @t88 () (or @t87 @t86)) % 0.52/0.72 (define @t89 () (and @t88 @t85)) % 0.52/0.72 (define @t90 () (or @t53 @t73)) % 0.52/0.72 (define @t91 () (or @t74 @t51)) % 0.52/0.72 (define @t92 () (and @t91 @t90)) % 0.52/0.72 (define @t93 () (not (= @t2 @t12))) % 0.52/0.72 (define @t94 () (not (= @t1 @t10))) % 0.52/0.72 (define @t95 () (or @t94 @t93 @t92 @t89)) % 0.52/0.72 (define @t96 () (=> @t13 @t95)) % 0.52/0.72 (define @t97 () (forall @t14 @t96)) % 0.52/0.72 (define @t98 () (=> @t15 @t97)) % 0.52/0.72 (define @t99 () (forall @t16 @t98)) % 0.52/0.72 (define @t100 () (=> @t21 @t99)) % 0.52/0.72 (define @t101 () (forall @t7 @t100)) % 0.52/0.72 (define @t102 () (=> @t17 @t101)) % 0.52/0.72 (define @t103 () (forall @t9 @t102)) % 0.52/0.72 (define @t104 () (not @t103)) % 0.52/0.72 (define @t105 () (= @t2 tptp.nil)) % 0.52/0.72 (define @t106 () (@var "BOUND_VARIABLE_10594" $$unsorted)) % 0.52/0.72 (define @t107 () (and (= @t106 tptp.nil) @t105)) % 0.52/0.72 (define @t108 () (= tptp.nil (tptp.app @t2 @t106))) % 0.52/0.72 (define @t109 () (= @t108 @t107)) % 0.52/0.72 (define @t110 () (not (tptp.ssList @t106))) % 0.52/0.72 (define @t111 () (not @t17)) % 0.52/0.72 (define @t112 () (or @t111 @t110 @t109)) % 0.52/0.72 (define @t113 () (or @t110 @t109)) % 0.52/0.72 (define @t114 () (or @t111 @t113)) % 0.52/0.72 (define @t115 () (@list @t2 @t106)) % 0.52/0.72 (define @t116 () (forall @t115 @t114)) % 0.52/0.72 (define @t117 () (@list @t106)) % 0.52/0.72 (define @t118 () (forall @t117 @t114)) % 0.52/0.72 (define @t119 () (forall @t117 @t113)) % 0.52/0.72 (define @t120 () (@list @t1)) % 0.52/0.72 (define @t121 () (or @t111 @t119)) % 0.52/0.72 (define @t122 () (= @t1 tptp.nil)) % 0.52/0.72 (define @t123 () (= @t78 (and @t122 @t105))) % 0.52/0.72 (define @t124 () (not @t21)) % 0.52/0.72 (define @t125 () (forall @t7 (or @t124 @t123))) % 0.52/0.72 (define @t126 () (@var "BOUND_VARIABLE_10978" $$unsorted)) % 0.52/0.72 (define @t127 () (not (tptp.neq @t2 tptp.nil))) % 0.52/0.72 (define @t128 () (or @t127 (not (tptp.rearsegP @t126 @t2)))) % 0.52/0.72 (define @t129 () (not @t105)) % 0.52/0.72 (define @t130 () (= tptp.nil @t126)) % 0.52/0.72 (define @t131 () (not @t130)) % 0.52/0.72 (define @t132 () (not (tptp.ssList @t126))) % 0.52/0.72 (define @t133 () (@list @t2 @t126)) % 0.52/0.72 (define @t134 () (forall @t133 (or @t111 @t132 (and (or @t131 @t105) (or @t129 @t130)) (and (or @t131 @t129) @t128)))) % 0.52/0.72 (define @t135 () (@quantifiers_skolemize @t134 0)) % 0.52/0.72 (define @t136 () (@quantifiers_skolemize @t134 1)) % 0.52/0.72 (define @t137 () (not @t15)) % 0.52/0.72 (define @t138 () (forall @t16 (or @t137 (not (= @t136 (tptp.app @t12 @t135)))))) % 0.52/0.72 (define @t139 () (@quantifiers_skolemize @t138 0)) % 0.52/0.72 (define @t140 () (= tptp.nil @t135)) % 0.52/0.72 (define @t141 () (and @t140 (= @t139 tptp.nil))) % 0.52/0.72 (define @t142 () (tptp.app @t139 @t135)) % 0.52/0.72 (define @t143 () (= tptp.nil @t142)) % 0.52/0.72 (define @t144 () (= @t143 @t141)) % 0.52/0.72 (define @t145 () (tptp.ssList @t135)) % 0.52/0.72 (define @t146 () (not @t145)) % 0.52/0.72 (define @t147 () (tptp.ssList @t139)) % 0.52/0.72 (define @t148 () (not @t147)) % 0.52/0.72 (define @t149 () (or @t148 @t146 @t144)) % 0.52/0.72 (define @t150 () (forall @t115 (or @t111 @t110 (= @t108 (and (= tptp.nil @t106) @t105))))) % 0.52/0.72 (define @t151 () (and @t140 (= tptp.nil @t139))) % 0.52/0.72 (define @t152 () (= @t143 @t151)) % 0.52/0.72 (define @t153 () (or @t148 @t146 @t152)) % 0.52/0.72 (define @t154 () (@list false)) % 0.52/0.72 (define @t155 () (@var "BOUND_VARIABLE_8347" $$unsorted)) % 0.52/0.72 (define @t156 () (= (tptp.rearsegP @t2 @t155) (not (forall @t16 (or @t137 (not (= @t2 (tptp.app @t12 @t155)))))))) % 0.52/0.72 (define @t157 () (not (tptp.ssList @t155))) % 0.52/0.72 (define @t158 () (or @t157 @t156)) % 0.52/0.72 (define @t159 () (or @t111 @t158)) % 0.52/0.72 (define @t160 () (forall (@list @t2 @t155) @t159)) % 0.52/0.72 (define @t161 () (@list @t155)) % 0.52/0.72 (define @t162 () (forall @t161 @t159)) % 0.52/0.72 (define @t163 () (forall @t161 @t158)) % 0.52/0.72 (define @t164 () (or @t111 @t163)) % 0.52/0.72 (define @t165 () (= @t2 @t22)) % 0.52/0.72 (define @t166 () (= @t25 (not (forall @t16 (or @t137 (not @t165)))))) % 0.52/0.72 (define @t167 () (forall @t7 (or @t124 @t166))) % 0.52/0.72 (define @t168 () (and @t15 @t165)) % 0.52/0.72 (define @t169 () (forall @t16 (not @t168))) % 0.52/0.72 (define @t170 () (not @t169)) % 0.52/0.72 (define @t171 () (= @t126 tptp.nil)) % 0.52/0.72 (define @t172 () (not @t171)) % 0.52/0.72 (define @t173 () (or @t172 @t129)) % 0.52/0.72 (define @t174 () (and @t173 @t128)) % 0.52/0.72 (define @t175 () (or @t129 @t171)) % 0.52/0.72 (define @t176 () (or @t172 @t105)) % 0.52/0.72 (define @t177 () (and @t176 @t175)) % 0.52/0.72 (define @t178 () (or @t111 @t132 @t177 @t174)) % 0.52/0.72 (define @t179 () (or @t132 @t177 @t174)) % 0.52/0.72 (define @t180 () (or @t111 @t179)) % 0.52/0.72 (define @t181 () (forall @t133 @t180)) % 0.52/0.72 (define @t182 () (@list @t126)) % 0.52/0.72 (define @t183 () (forall @t182 @t180)) % 0.52/0.72 (define @t184 () (forall @t182 @t179)) % 0.52/0.72 (define @t185 () (or @t111 @t184)) % 0.52/0.72 (define @t186 () (not @t122)) % 0.52/0.72 (define @t187 () (and (or @t186 @t129) (or @t127 (not @t69)))) % 0.52/0.72 (define @t188 () (and (or @t186 @t105) (or @t129 @t122))) % 0.52/0.72 (define @t189 () (or @t124 @t188 @t187)) % 0.52/0.72 (define @t190 () (or @t111 (forall @t7 @t189))) % 0.52/0.72 (define @t191 () (or @t111 @t189)) % 0.52/0.72 (define @t192 () (or @t124 @t188 @t111 @t187)) % 0.52/0.72 (define @t193 () (or @t188 @t124 @t111 @t187)) % 0.52/0.72 (define @t194 () (or @t111 @t187)) % 0.52/0.72 (define @t195 () (not (= @t2 @t2))) % 0.52/0.72 (define @t196 () (or @t111 @t195 @t187)) % 0.52/0.72 (define @t197 () (not (= @t12 tptp.nil))) % 0.52/0.72 (define @t198 () (and (or @t186 @t197) (or @t84 (not @t68)))) % 0.52/0.72 (define @t199 () (or @t93 @t137 @t93 @t198)) % 0.52/0.72 (define @t200 () (or @t137 @t93 @t198)) % 0.52/0.72 (define @t201 () (forall @t16 @t200)) % 0.52/0.72 (define @t202 () (or @t188 @t124 @t201)) % 0.52/0.72 (define @t203 () (or @t188 @t124 @t200)) % 0.52/0.72 (define @t204 () (or @t137 @t93 @t188 @t124 @t198)) % 0.52/0.72 (define @t205 () (or @t93 @t188 @t124 @t198)) % 0.52/0.72 (define @t206 () (or @t124 @t198)) % 0.52/0.72 (define @t207 () (not (= @t1 @t1))) % 0.52/0.72 (define @t208 () (or @t124 @t207 @t198)) % 0.52/0.72 (define @t209 () (and (or (not (= @t10 tptp.nil)) @t197) @t85)) % 0.52/0.72 (define @t210 () (not @t13)) % 0.52/0.72 (define @t211 () (or @t94 @t210 @t94 @t209)) % 0.52/0.72 (define @t212 () (or @t210 @t94 @t209)) % 0.52/0.72 (define @t213 () (forall @t14 @t212)) % 0.52/0.72 (define @t214 () (or @t93 @t188 @t213)) % 0.52/0.72 (define @t215 () (or @t93 @t188 @t212)) % 0.52/0.72 (define @t216 () (or @t210 @t94 @t93 @t188 @t209)) % 0.52/0.72 (define @t217 () (or @t94 @t93 @t188 @t209)) % 0.52/0.72 (define @t218 () (tptp.rearsegP @t136 @t135)) % 0.52/0.72 (define @t219 () (not @t218)) % 0.52/0.72 (define @t220 () (tptp.neq @t135 tptp.nil)) % 0.52/0.72 (define @t221 () (not @t220)) % 0.52/0.72 (define @t222 () (or @t221 @t219)) % 0.52/0.72 (define @t223 () (not @t140)) % 0.52/0.72 (define @t224 () (= tptp.nil @t136)) % 0.52/0.72 (define @t225 () (not @t224)) % 0.52/0.72 (define @t226 () (or @t225 @t223)) % 0.52/0.72 (define @t227 () (and @t226 @t222)) % 0.52/0.72 (define @t228 () (or @t223 @t224)) % 0.52/0.72 (define @t229 () (or @t225 @t140)) % 0.52/0.72 (define @t230 () (and @t229 @t228)) % 0.52/0.72 (define @t231 () (tptp.ssList @t136)) % 0.52/0.72 (define @t232 () (not @t231)) % 0.52/0.72 (define @t233 () (or @t146 @t232 @t230 @t227)) % 0.52/0.72 (define @t234 () (not @t233)) % 0.52/0.72 (define @t235 () (not @t134)) % 0.52/0.72 (define @t236 () (= @t135 tptp.nil)) % 0.52/0.72 (define @t237 () (not @t236)) % 0.52/0.72 (define @t238 () (or @t225 @t237)) % 0.52/0.72 (define @t239 () (and @t238 @t222)) % 0.52/0.72 (define @t240 () (or @t237 @t224)) % 0.52/0.72 (define @t241 () (or @t225 @t236)) % 0.52/0.72 (define @t242 () (and @t241 @t240)) % 0.52/0.72 (define @t243 () (or @t146 @t232 @t242 @t239)) % 0.52/0.72 (define @t244 () (not @t243)) % 0.52/0.72 (define @t245 () (@list true)) % 0.52/0.72 (define @t246 () (@list @t233)) % 0.52/0.72 (define @t247 () (not @t138)) % 0.52/0.72 (define @t248 () (= @t218 @t247)) % 0.52/0.72 (define @t249 () (or @t232 @t146 @t248)) % 0.52/0.72 (define @t250 () (@list false false false)) % 0.52/0.72 (define @t251 () (not @t225)) % 0.52/0.72 (define @t252 () (not @t223)) % 0.52/0.72 (define @t253 () (@var "BOUND_VARIABLE_9101" $$unsorted)) % 0.52/0.72 (define @t254 () (= (tptp.neq @t2 @t253) (not (= @t2 @t253)))) % 0.52/0.72 (define @t255 () (not (tptp.ssList @t253))) % 0.52/0.72 (define @t256 () (or @t111 @t255 @t254)) % 0.52/0.72 (define @t257 () (or @t255 @t254)) % 0.52/0.72 (define @t258 () (or @t111 @t257)) % 0.52/0.72 (define @t259 () (@list @t2 @t253)) % 0.52/0.72 (define @t260 () (forall @t259 @t258)) % 0.52/0.72 (define @t261 () (@list @t253)) % 0.52/0.72 (define @t262 () (forall @t261 @t258)) % 0.52/0.72 (define @t263 () (forall @t261 @t257)) % 0.52/0.72 (define @t264 () (or @t111 @t263)) % 0.52/0.72 (define @t265 () (forall @t7 (or @t124 @t5))) % 0.52/0.72 (define @t266 () (not @t48)) % 0.52/0.72 (define @t267 () (or @t146 @t266 (= @t220 @t237))) % 0.52/0.72 (define @t268 () (forall @t259 @t256)) % 0.52/0.72 (define @t269 () (= @t220 @t223)) % 0.52/0.72 (define @t270 () (or @t146 @t266 @t269)) % 0.52/0.72 (define @t271 () (@list true false)) % 0.52/0.72 (define @t272 () (@list @t140)) % 0.52/0.72 (define @t273 () (@list false false)) % 0.52/0.72 (define @t274 () (= @t136 @t142)) % 0.52/0.72 (define @t275 () (not @t274)) % 0.52/0.72 (define @t276 () (or @t148 @t275)) % 0.52/0.72 (define @t277 () (@list @t276)) % 0.52/0.72 (define @t278 () (not @t151)) % 0.52/0.72 (define @t279 () (not @t143)) % 0.52/0.72 (define @t280 () (= @t2 @t57)) % 0.52/0.72 (define @t281 () (= @t136 (tptp.app tptp.nil @t136))) % 0.52/0.72 (define @t282 () (or @t232 @t281)) % 0.52/0.72 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.52/0.72 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.52/0.72 (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))))))))))) % 0.52/0.72 (assume @p4 (forall @t9 (=> @t17 (= (tptp.singletonP @t2) (exists @t7 (and @t6 (= @t18 @t2))))))) % 0.52/0.72 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t20 (exists @t16 (and @t15 (= @t19 @t2))))))))) % 0.52/0.72 (assume @p6 @t30) % 0.52/0.72 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (= @t31 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t22 @t10) @t2))))))))))) % 0.52/0.72 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (not (and @t33 @t32))))))))))))))))) % 0.52/0.72 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (or @t33 @t32)))))))))))))))) % 0.52/0.72 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (or @t42 (tptp.lt @t12 @t1))))))))))))))))) % 0.52/0.72 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 @t33))))))))))))))) % 0.52/0.72 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 @t42))))))))))))))) % 0.52/0.72 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (forall @t38 (=> @t37 (=> @t36 (not @t43)))))))))))))))) % 0.52/0.72 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t41 (forall @t14 (=> @t13 (forall @t40 (=> @t39 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t35))) @t2) @t43))))))))))))) % 0.52/0.72 (assume @p15 @t46) % 0.52/0.72 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t47)))))) % 0.52/0.72 (assume @p17 @t48) % 0.52/0.72 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t47 @t2))))))) % 0.52/0.72 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t41 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t49))))))))))) % 0.52/0.72 (assume @p20 (forall @t9 (=> @t17 (or @t51 (exists @t7 (and @t21 (exists @t16 (and @t41 (= @t50 @t2))))))))) % 0.52/0.72 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t47))))))) % 0.52/0.72 (assume @p22 (forall @t9 (=> @t17 (=> @t53 (tptp.ssItem @t52))))) % 0.52/0.72 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t47) @t1)))))) % 0.52/0.72 (assume @p24 (forall @t9 (=> @t17 (=> @t53 (tptp.ssList @t54))))) % 0.52/0.72 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t47) @t2)))))) % 0.52/0.72 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (tptp.ssList @t55)))))) % 0.52/0.72 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t41 (= (tptp.cons @t12 @t56) (tptp.app @t50 @t2))))))))) % 0.52/0.72 (assume @p28 @t59) % 0.52/0.72 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t61 @t60) @t3)))))) % 0.52/0.72 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t61 @t33) (tptp.leq @t2 @t12))))))))) % 0.52/0.72 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.52/0.72 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t62 @t60)))))) % 0.52/0.72 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t64 (not @t63))))))) % 0.52/0.72 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t64 @t42) @t65)))))))) % 0.52/0.72 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t66 @t63)))))) % 0.52/0.72 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.memberP @t19 @t2) (or (tptp.memberP @t1 @t2) @t67))))))))) % 0.52/0.72 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t67))))))))) % 0.52/0.72 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.52/0.72 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.52/0.72 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t20 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.52/0.72 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t20 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.52/0.72 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.52/0.72 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t20 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.52/0.72 (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)))))))))))) % 0.52/0.72 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.52/0.72 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t51)))) % 0.52/0.72 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t25 @t68) (tptp.rearsegP @t2 @t12))))))))) % 0.52/0.72 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t25 @t69) @t3)))))) % 0.52/0.72 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.52/0.72 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> @t25 (tptp.rearsegP @t70 @t1))))))))) % 0.52/0.72 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.52/0.72 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t51)))) % 0.52/0.72 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (and @t31 (tptp.segmentP @t1 @t12)) (tptp.segmentP @t2 @t12))))))))) % 0.52/0.72 (assume @p54 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t31 (tptp.segmentP @t1 @t2)) @t3)))))) % 0.52/0.72 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.52/0.72 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t31 (tptp.segmentP (tptp.app @t70 @t10) @t1))))))))))) % 0.52/0.72 (assume @p57 (forall @t9 (=> @t17 (tptp.segmentP @t2 tptp.nil)))) % 0.52/0.72 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t51)))) % 0.52/0.72 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t71)))) % 0.52/0.72 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.52/0.72 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t71)))) % 0.52/0.72 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.52/0.72 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t71)))) % 0.52/0.72 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.52/0.72 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t71)))) % 0.52/0.72 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.52/0.72 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.totalorderedP @t75) (or @t73 (and @t74 (tptp.totalorderedP @t1) (tptp.leq @t2 @t72))))))))) % 0.52/0.72 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t71)))) % 0.52/0.72 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.52/0.72 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t21 (= (tptp.strictorderedP @t75) (or @t73 (and @t74 (tptp.strictorderedP @t1) (tptp.lt @t2 @t72))))))))) % 0.52/0.72 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t71)))) % 0.52/0.72 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.52/0.72 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t71)))) % 0.52/0.72 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.52/0.72 (assume @p75 (forall @t9 (=> @t17 (=> @t53 (exists @t7 (and @t6 (= @t52 @t1))))))) % 0.52/0.72 (assume @p76 (forall @t9 (=> @t17 (=> @t53 (exists @t7 (and @t21 (= @t54 @t1))))))) % 0.52/0.72 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> (and @t74 @t53 (= @t72 @t52) (= (tptp.tl @t1) @t54)) @t49)))))) % 0.52/0.72 (assume @p78 (forall @t9 (=> @t17 (=> @t53 (= (tptp.cons @t52 @t54) @t2))))) % 0.52/0.72 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t22 @t55) @t76)))))))) % 0.52/0.72 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (=> (= @t19 @t56) @t76)))))))) % 0.52/0.72 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t47 (tptp.app @t18 @t2))))))) % 0.52/0.72 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (forall @t16 (=> @t15 (= (tptp.app @t55 @t12) (tptp.app @t2 @t19))))))))) % 0.52/0.72 (assume @p83 @t83) % 0.52/0.72 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.52/0.72 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t53 (= (tptp.hd @t55) @t52))))))) % 0.52/0.72 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t21 (=> @t53 (= (tptp.tl @t55) (tptp.app @t54 @t1)))))))) % 0.52/0.72 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t62 (tptp.geq @t1 @t2)) @t3)))))) % 0.52/0.72 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t62 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.52/0.72 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.52/0.72 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.52/0.72 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t61 @t42) @t65)))))))) % 0.52/0.72 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t61 (or @t3 @t64))))))) % 0.52/0.72 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t64 (and @t4 @t61))))))) % 0.52/0.72 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t66 (not (tptp.gt @t1 @t2)))))))) % 0.52/0.72 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t41 (=> (and @t66 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.52/0.72 (assume @p96 @t104) % 0.52/0.72 (assume @p97 true) % 0.52/0.72 (step @p98 :rule evaluate :args ((= true false))) % 0.52/0.72 (step @p99 :rule refl :args (@t105)) % 0.52/0.72 (step @p100 :rule eq-symm :args (@t106 tptp.nil)) % 0.52/0.72 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t107)) % 0.52/0.72 (step @p102 :rule refl :args (@t108)) % 0.52/0.72 (step @p103 :rule cong :premises (@p102 @p101) :args (@t109)) % 0.52/0.72 (step @p104 :rule refl :args (@t110)) % 0.52/0.72 (step @p105 :rule refl :args (@t111)) % 0.52/0.72 (step @p106 :rule nary_cong :premises (@p105 @p104 @p103) :args (@t112)) % 0.52/0.72 (step @p107 :rule aci_norm :args ((= @t114 @t112))) % 0.52/0.72 (step @p108 :rule trans :premises (@p107 @p106)) % 0.52/0.72 (step @p109 :rule cong :premises (@p108) :args (@t116)) % 0.52/0.72 (step @p110 :rule quant-merge-prenex :args ((= (forall @t9 @t118) @t116))) % 0.52/0.72 (step @p111 :rule alpha_equiv :args (@t119 (@list @t106) @t120)) % 0.52/0.72 (step @p112 :rule refl :args (@t111)) % 0.52/0.72 (step @p113 :rule nary_cong :premises (@p112 @p111) :args (@t121)) % 0.52/0.72 (step @p114 :rule quant-miniscope-or :args ((= @t118 @t121))) % 0.52/0.72 (step @p115 :rule trans :premises (@p114 @p113)) % 0.52/0.72 (step @p116 :rule symm :premises (@p115)) % 0.52/0.72 (step @p117 :rule cong :premises (@p116) :args ((forall @t9 (or @t111 @t125)))) % 0.52/0.72 (step @p118 :rule trans :premises (@p117 @p110)) % 0.52/0.72 (step @p119 :rule trans :premises (@p118 @p109)) % 0.52/0.72 (step @p120 :rule bool-impl-elim :args (@t17 @t125)) % 0.52/0.72 (step @p121 :rule cong :premises (@p120) :args ((forall @t9 (=> @t17 @t125)))) % 0.52/0.72 (step @p122 :rule trans :premises (@p121 @p119)) % 0.52/0.72 (step @p123 :rule bool-impl-elim :args (@t21 @t123)) % 0.52/0.72 (step @p124 :rule cong :premises (@p123) :args ((forall @t7 (=> @t21 @t123)))) % 0.52/0.72 (step @p125 :rule eq-symm :args (tptp.nil @t2)) % 0.52/0.72 (step @p126 :rule eq-symm :args (tptp.nil @t1)) % 0.52/0.72 (step @p127 :rule nary_cong :premises (@p126 @p125) :args (@t77)) % 0.52/0.72 (step @p128 :rule refl :args (@t78)) % 0.52/0.72 (step @p129 :rule cong :premises (@p128 @p127) :args (@t79)) % 0.52/0.72 (step @p130 :rule refl :args (@t21)) % 0.52/0.72 (step @p131 :rule cong :premises (@p130 @p129) :args (@t80)) % 0.52/0.72 (step @p132 :rule cong :premises (@p131) :args (@t81)) % 0.52/0.72 (step @p133 :rule trans :premises (@p132 @p124)) % 0.52/0.72 (step @p134 :rule refl :args (@t17)) % 0.52/0.72 (step @p135 :rule cong :premises (@p134 @p133) :args (@t82)) % 0.52/0.72 (step @p136 :rule cong :premises (@p135) :args (@t83)) % 0.52/0.72 (step @p137 :rule trans :premises (@p136 @p122)) % 0.52/0.72 (step @p138 :rule eq_resolve :premises (@p83 @p137)) % 0.52/0.72 (step @p139 :rule eq-symm :args (@t139 tptp.nil)) % 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@t260))) % 0.52/0.72 (step @p399 :rule alpha_equiv :args (@t263 (@list @t253) @t120)) % 0.52/0.72 (step @p400 :rule nary_cong :premises (@p112 @p399) :args (@t264)) % 0.52/0.72 (step @p401 :rule quant-miniscope-or :args ((= @t262 @t264))) % 0.52/0.72 (step @p402 :rule trans :premises (@p401 @p400)) % 0.52/0.72 (step @p403 :rule symm :premises (@p402)) % 0.52/0.72 (step @p404 :rule cong :premises (@p403) :args ((forall @t9 (or @t111 @t265)))) % 0.52/0.72 (step @p405 :rule trans :premises (@p404 @p398)) % 0.52/0.72 (step @p406 :rule trans :premises (@p405 @p397)) % 0.52/0.72 (step @p407 :rule bool-impl-elim :args (@t17 @t265)) % 0.52/0.72 (step @p408 :rule cong :premises (@p407) :args ((forall @t9 (=> @t17 @t265)))) % 0.52/0.72 (step @p409 :rule trans :premises (@p408 @p406)) % 0.52/0.72 (step @p410 :rule bool-impl-elim :args (@t21 @t5)) % 0.52/0.72 (step @p411 :rule cong :premises (@p410) :args (@t44)) % 0.52/0.72 (step @p412 :rule cong :premises (@p134 @p411) :args (@t45)) % 0.52/0.72 (step @p413 :rule cong :premises (@p412) :args (@t46)) % 0.52/0.72 (step @p414 :rule trans :premises (@p413 @p409)) % 0.52/0.72 (step @p415 :rule eq_resolve :premises (@p15 @p414)) % 0.52/0.72 (step @p416 :rule eq-symm :args (@t223 @t220)) % 0.52/0.72 (step @p417 :rule refl :args (@t220)) % 0.52/0.72 (step @p418 :rule cong :premises (@p331 @p417) :args ((= @t237 @t220))) % 0.52/0.72 (step @p419 :rule trans :premises (@p418 @p416)) % 0.52/0.72 (step @p420 :rule eq-symm :args (@t220 @t237)) % 0.52/0.72 (step @p421 :rule trans :premises (@p420 @p419)) % 0.52/0.72 (step @p422 :rule refl :args (@t266)) % 0.52/0.72 (step @p423 :rule nary_cong :premises (@p144 @p422 @p421) :args (@t267)) % 0.52/0.72 (step @p424 :rule refl :args (@t268)) % 0.52/0.72 (step @p425 :rule cong :premises (@p424 @p423) :args ((=> @t268 @t267))) % 0.52/0.72 (assume-push @p506 @t268) % 0.52/0.72 (step @p427 :rule instantiate :premises (@p415) :args ((@list @t135 tptp.nil))) % 0.52/0.72 (step-pop @p507 :rule scope :premises (@p427)) % 0.52/0.72 (step @p428 :rule process_scope :premises (@p507) :args (@t267)) % 0.52/0.72 (step @p430 :rule eq_resolve :premises (@p428 @p425)) % 0.52/0.72 (step @p431 :rule implies_elim :premises (@p430)) % 0.52/0.72 (step @p432 :rule chain_m_resolution :premises (@p431 @p415) :args (@t270 @t154 (@list @t268))) % 0.52/0.72 (step @p433 :rule cnf_or_pos :args (@t270)) % 0.52/0.72 (step @p434 :rule reordering :premises (@p433) :args ((or @t266 @t146 @t269 (not @t270)))) % 0.52/0.72 (step @p435 :rule chain_m_resolution :premises (@p434 @p17 @p364 @p432) :args (@t269 @t250 (@list @t48 @t145 @t270))) % 0.52/0.72 (step @p436 :rule cnf_equiv_pos1 :args (@t269)) % 0.52/0.72 (step @p437 :rule reordering :premises (@p436) :args ((or @t221 @t223 (not @t269)))) % 0.52/0.72 (step @p438 :rule chain_m_resolution :premises (@p437 @p435 @p395 @p390 @p384 @p383 @p381 @p380 @p378 @p373) :args (@t224 (@list false false false true true true true false false) (@list @t269 @t220 @t140 @t222 @t227 @t228 @t230 @t226 @t229))) % 0.52/0.72 (step @p439 :rule cnf_or_neg :args (@t228 1)) % 0.52/0.72 (step @p440 :rule reordering :premises (@p439) :args ((or @t225 @t228))) % 0.52/0.72 (step @p441 :rule chain_m_resolution :premises (@p440 @p438) :args (@t228 @t154 (@list @t224))) % 0.52/0.72 (step @p442 :rule chain_m_resolution :premises (@p381 @p380 @p441) :args ((not @t229) @t271 (@list @t230 @t228))) % 0.52/0.72 (step @p443 :rule cnf_or_neg :args (@t229 1)) % 0.52/0.72 (step @p444 :rule chain_m_resolution :premises (@p443 @p442) :args (@t223 @t245 (@list @t229))) % 0.52/0.72 (step @p445 :rule nary_cong :premises (@p374 @p385) :args ((or @t226 @t252))) % 0.52/0.72 (step @p446 :rule cnf_or_neg :args (@t226 1)) % 0.52/0.72 (step @p447 :rule eq_resolve :premises (@p446 @p445)) % 0.52/0.72 (step @p448 :rule reordering :premises (@p447) :args ((or @t140 @t226))) % 0.52/0.72 (step @p449 :rule chain_m_resolution :premises (@p448 @p444) :args (@t226 @t245 @t272)) % 0.52/0.72 (step @p450 :rule chain_m_resolution :premises (@p384 @p383 @p449) :args ((not @t222) @t271 (@list @t227 @t226))) % 0.52/0.72 (step @p451 :rule bool-double-not-elim :args (@t218)) % 0.52/0.72 (step @p452 :rule nary_cong :premises (@p329 @p451) :args ((or @t222 (not @t219)))) % 0.52/0.72 (step @p453 :rule cnf_or_neg :args (@t222 1)) % 0.52/0.72 (step @p454 :rule eq_resolve :premises (@p453 @p452)) % 0.52/0.72 (step @p455 :rule reordering :premises (@p454) :args ((or @t218 @t222))) % 0.52/0.72 (step @p456 :rule chain_m_resolution :premises (@p455 @p450) :args (@t218 @t245 (@list @t222))) % 0.52/0.72 (step @p457 :rule cnf_equiv_pos1 :args (@t248)) % 0.52/0.72 (step @p458 :rule reordering :premises (@p457) :args ((or @t219 @t247 (not @t248)))) % 0.52/0.72 (step @p459 :rule chain_m_resolution :premises (@p458 @p456 @p367) :args (@t247 @t273 (@list @t218 @t248))) % 0.52/0.72 (step @p460 :rule skolemize :premises (@p459)) % 0.52/0.72 (step @p461 :rule bool-double-not-elim :args (@t147)) % 0.52/0.72 (step @p462 :rule refl :args (@t276)) % 0.52/0.72 (step @p463 :rule nary_cong :premises (@p462 @p461) :args ((or @t276 (not @t148)))) % 0.52/0.72 (step @p464 :rule cnf_or_neg :args (@t276 0)) % 0.52/0.72 (step @p465 :rule eq_resolve :premises (@p464 @p463)) % 0.52/0.72 (step @p466 :rule reordering :premises (@p465) :args ((or @t147 @t276))) % 0.52/0.72 (step @p467 :rule chain_m_resolution :premises (@p466 @p460) :args (@t147 @t245 @t277)) % 0.52/0.72 (step @p468 :rule cnf_or_pos :args (@t153)) % 0.52/0.72 (step @p469 :rule reordering :premises (@p468) :args ((or @t146 @t148 @t152 (not @t153)))) % 0.52/0.72 (step @p470 :rule chain_m_resolution :premises (@p469 @p364 @p467 @p155) :args (@t152 @t250 (@list @t145 @t147 @t153))) % 0.52/0.72 (step @p471 :rule cnf_and_pos :args (@t151 0)) % 0.52/0.72 (step @p472 :rule reordering :premises (@p471) :args ((or @t140 @t278))) % 0.52/0.72 (step @p473 :rule chain_m_resolution :premises (@p472 @p444) :args (@t278 @t245 @t272)) % 0.52/0.72 (step @p474 :rule cnf_equiv_pos1 :args (@t152)) % 0.52/0.72 (step @p475 :rule reordering :premises (@p474) :args ((or @t151 @t279 (not @t152)))) % 0.52/0.72 (step @p476 :rule chain_m_resolution :premises (@p475 @p473 @p470) :args (@t279 @t271 (@list @t151 @t152))) % 0.52/0.72 (step @p477 :rule false_intro :premises (@p476)) % 0.52/0.72 (step @p478 :rule bool-double-not-elim :args (@t274)) % 0.52/0.72 (step @p479 :rule nary_cong :premises (@p462 @p478) :args ((or @t276 (not @t275)))) % 0.52/0.72 (step @p480 :rule cnf_or_neg :args (@t276 1)) % 0.52/0.72 (step @p481 :rule eq_resolve :premises (@p480 @p479)) % 0.52/0.72 (step @p482 :rule reordering :premises (@p481) :args ((or @t274 @t276))) % 0.52/0.72 (step @p483 :rule chain_m_resolution :premises (@p482 @p460) :args (@t274 @t245 @t277)) % 0.52/0.72 (step @p484 :rule bool-impl-elim :args (@t17 @t280)) % 0.52/0.72 (step @p485 :rule cong :premises (@p484) :args ((forall @t9 (=> @t17 @t280)))) % 0.52/0.72 (step @p486 :rule eq-symm :args (@t57 @t2)) % 0.52/0.72 (step @p487 :rule cong :premises (@p134 @p486) :args (@t58)) % 0.52/0.72 (step @p488 :rule cong :premises (@p487) :args (@t59)) % 0.52/0.72 (step @p489 :rule trans :premises (@p488 @p485)) % 0.52/0.72 (step @p490 :rule eq_resolve :premises (@p28 @p489)) % 0.52/0.72 (step @p491 :rule instantiate :premises (@p490) :args ((@list @t136))) % 0.52/0.72 (step @p492 :rule cnf_or_pos :args (@t282)) % 0.52/0.73 (step @p493 :rule reordering :premises (@p492) :args ((or @t232 @t281 (not @t282)))) % 0.52/0.73 (step @p494 :rule chain_m_resolution :premises (@p493 @p358 @p491) :args (@t281 @t273 (@list @t231 @t282))) % 0.52/0.73 (step @p495 :rule symm :premises (@p494)) % 0.52/0.73 (step @p496 :rule trans :premises (@p495 @p483)) % 0.52/0.73 (step @p497 :rule trans :premises (@p438 @p494 @p496)) % 0.52/0.73 (step @p498 :rule true_intro :premises (@p497)) % 0.52/0.73 (step @p499 :rule symm :premises (@p498)) % 0.52/0.73 (step @p500 :rule trans :premises (@p499 @p477)) % 0.52/0.73 (step @p501 false :rule eq_resolve :premises (@p500 @p98)) % 0.52/0.73 ) % 0.52/0.73 % SZS output end Proof % 0.52/0.73 % cvc5 exiting %------------------------------------------------------------------------------