%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC294+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 : 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 08:58:45 AM UTC 2026 % Result : Theorem 0.37s 0.83s % Output : Proof 0.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SWC294+1 : TPTP v9.2.1. Released v2.4.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n006.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:38:04 EDT 2026 % 0.17/0.35 % CPUTime : % 0.27/0.52 %----Proving TF0_NAR, FOF, or CNF % 0.37/0.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.37/0.83 % SZS status Theorem % 0.37/0.83 % SZS output start Proof % 0.37/0.83 ( % 0.37/0.83 (declare-sort $$unsorted 0) % 0.37/0.83 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.37/0.83 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.37/0.83 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.37/0.83 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.37/0.83 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.37/0.83 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.37/0.83 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.37/0.83 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.37/0.83 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.37/0.83 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.37/0.83 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.37/0.83 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.83 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.37/0.83 (declare-const tptp.nil $$unsorted) % 0.37/0.83 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.37/0.83 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.37/0.83 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.83 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.37/0.83 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.37/0.83 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.37/0.83 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.37/0.83 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.37/0.83 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.37/0.83 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.37/0.83 (define @t1 () (@var "V" $$unsorted)) % 0.37/0.83 (define @t2 () (@var "U" $$unsorted)) % 0.37/0.83 (define @t3 () (= @t2 @t1)) % 0.37/0.83 (define @t4 () (not @t3)) % 0.37/0.83 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.37/0.83 (define @t6 () (tptp.ssItem @t1)) % 0.37/0.83 (define @t7 () (@list @t1)) % 0.37/0.83 (define @t8 () (tptp.ssItem @t2)) % 0.37/0.83 (define @t9 () (@list @t2)) % 0.37/0.83 (define @t10 () (@var "X" $$unsorted)) % 0.37/0.83 (define @t11 () (tptp.cons @t1 @t10)) % 0.37/0.83 (define @t12 () (@var "W" $$unsorted)) % 0.37/0.83 (define @t13 () (tptp.ssList @t10)) % 0.37/0.83 (define @t14 () (@list @t10)) % 0.37/0.83 (define @t15 () (tptp.ssList @t12)) % 0.37/0.83 (define @t16 () (@list @t12)) % 0.37/0.83 (define @t17 () (tptp.ssList @t2)) % 0.37/0.83 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.37/0.83 (define @t19 () (and @t6 (= @t18 @t2))) % 0.37/0.83 (define @t20 () (exists @t7 @t19)) % 0.37/0.83 (define @t21 () (tptp.singletonP @t2)) % 0.37/0.83 (define @t22 () (= @t21 @t20)) % 0.37/0.83 (define @t23 () (=> @t17 @t22)) % 0.37/0.83 (define @t24 () (forall @t9 @t23)) % 0.37/0.83 (define @t25 () (tptp.app @t1 @t12)) % 0.37/0.83 (define @t26 () (tptp.frontsegP @t2 @t1)) % 0.37/0.83 (define @t27 () (tptp.ssList @t1)) % 0.37/0.83 (define @t28 () (tptp.app @t12 @t1)) % 0.37/0.83 (define @t29 () (tptp.rearsegP @t2 @t1)) % 0.37/0.83 (define @t30 () (tptp.segmentP @t2 @t1)) % 0.37/0.83 (define @t31 () (tptp.leq @t12 @t1)) % 0.37/0.83 (define @t32 () (tptp.leq @t1 @t12)) % 0.37/0.83 (define @t33 () (@var "Z" $$unsorted)) % 0.37/0.83 (define @t34 () (@var "Y" $$unsorted)) % 0.37/0.83 (define @t35 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t34)) (tptp.cons @t12 @t33)) @t2)) % 0.37/0.83 (define @t36 () (tptp.ssList @t33)) % 0.37/0.83 (define @t37 () (@list @t33)) % 0.37/0.83 (define @t38 () (tptp.ssList @t34)) % 0.37/0.83 (define @t39 () (@list @t34)) % 0.37/0.83 (define @t40 () (tptp.ssItem @t12)) % 0.37/0.83 (define @t41 () (tptp.lt @t1 @t12)) % 0.37/0.83 (define @t42 () (tptp.strictorderedP @t2)) % 0.37/0.83 (define @t43 () (= @t1 @t12)) % 0.37/0.83 (define @t44 () (forall @t7 (=> @t27 @t5))) % 0.37/0.83 (define @t45 () (=> @t17 @t44)) % 0.37/0.83 (define @t46 () (forall @t9 @t45)) % 0.37/0.83 (define @t47 () (tptp.cons @t1 @t2)) % 0.37/0.83 (define @t48 () (tptp.ssList tptp.nil)) % 0.37/0.83 (define @t49 () (= @t1 @t2)) % 0.37/0.83 (define @t50 () (tptp.cons @t12 @t1)) % 0.37/0.83 (define @t51 () (= tptp.nil @t2)) % 0.37/0.83 (define @t52 () (tptp.hd @t2)) % 0.37/0.83 (define @t53 () (not @t51)) % 0.37/0.83 (define @t54 () (tptp.tl @t2)) % 0.37/0.83 (define @t55 () (tptp.app @t2 @t1)) % 0.37/0.83 (define @t56 () (tptp.app @t1 @t2)) % 0.37/0.83 (define @t57 () (tptp.leq @t1 @t2)) % 0.37/0.83 (define @t58 () (tptp.leq @t2 @t1)) % 0.37/0.83 (define @t59 () (tptp.geq @t2 @t1)) % 0.37/0.83 (define @t60 () (tptp.lt @t1 @t2)) % 0.37/0.83 (define @t61 () (tptp.lt @t2 @t1)) % 0.37/0.83 (define @t62 () (tptp.lt @t2 @t12)) % 0.37/0.83 (define @t63 () (tptp.gt @t2 @t1)) % 0.37/0.83 (define @t64 () (tptp.memberP @t12 @t2)) % 0.37/0.83 (define @t65 () (tptp.app @t12 @t2)) % 0.37/0.83 (define @t66 () (tptp.segmentP @t1 @t12)) % 0.37/0.83 (define @t67 () (tptp.segmentP @t1 @t2)) % 0.37/0.83 (define @t68 () (and @t30 @t67)) % 0.37/0.83 (define @t69 () (=> @t68 @t3)) % 0.37/0.83 (define @t70 () (forall @t7 (=> @t27 @t69))) % 0.37/0.83 (define @t71 () (=> @t17 @t70)) % 0.37/0.83 (define @t72 () (forall @t9 @t71)) % 0.37/0.83 (define @t73 () (tptp.segmentP @t2 tptp.nil)) % 0.37/0.83 (define @t74 () (forall @t9 (=> @t17 @t73))) % 0.37/0.83 (define @t75 () (tptp.cons @t2 tptp.nil)) % 0.37/0.83 (define @t76 () (tptp.hd @t1)) % 0.37/0.83 (define @t77 () (= tptp.nil @t1)) % 0.37/0.83 (define @t78 () (not @t77)) % 0.37/0.83 (define @t79 () (tptp.cons @t2 @t1)) % 0.37/0.83 (define @t80 () (tptp.strictorderedP @t75)) % 0.37/0.83 (define @t81 () (forall @t9 (=> @t8 @t80))) % 0.37/0.83 (define @t82 () (tptp.strictorderedP tptp.nil)) % 0.37/0.83 (define @t83 () (= @t12 @t2)) % 0.37/0.83 (define @t84 () (not (tptp.singletonP @t12))) % 0.37/0.83 (define @t85 () (and @t84 (tptp.neq @t10 tptp.nil))) % 0.37/0.83 (define @t86 () (not (tptp.segmentP @t10 @t12))) % 0.37/0.83 (define @t87 () (not (= @t2 @t12))) % 0.37/0.83 (define @t88 () (not (= @t1 @t10))) % 0.37/0.83 (define @t89 () (not @t13)) % 0.37/0.83 (define @t90 () (or @t89 @t88 @t87 @t86 @t42 @t85)) % 0.37/0.83 (define @t91 () (forall @t14 @t90)) % 0.37/0.83 (define @t92 () (=> @t15 @t91)) % 0.37/0.83 (define @t93 () (forall @t16 @t92)) % 0.37/0.83 (define @t94 () (=> @t27 @t93)) % 0.37/0.83 (define @t95 () (forall @t7 @t94)) % 0.37/0.83 (define @t96 () (=> @t17 @t95)) % 0.37/0.83 (define @t97 () (forall @t9 @t96)) % 0.37/0.83 (define @t98 () (not @t97)) % 0.37/0.83 (define @t99 () (@var "BOUND_VARIABLE_10952" $$unsorted)) % 0.37/0.83 (define @t100 () (not @t21)) % 0.37/0.83 (define @t101 () (and @t100 (tptp.neq @t99 tptp.nil))) % 0.37/0.83 (define @t102 () (not (tptp.segmentP @t99 @t2))) % 0.37/0.83 (define @t103 () (not (tptp.ssList @t99))) % 0.37/0.83 (define @t104 () (not @t17)) % 0.37/0.83 (define @t105 () (or @t104 @t42 @t103 @t102 @t101)) % 0.37/0.83 (define @t106 () (or @t103 @t102 @t101)) % 0.37/0.83 (define @t107 () (or @t104 @t42 @t106)) % 0.37/0.83 (define @t108 () (@list @t2 @t99)) % 0.37/0.83 (define @t109 () (forall @t108 @t107)) % 0.37/0.83 (define @t110 () (@list @t99)) % 0.37/0.83 (define @t111 () (forall @t110 @t107)) % 0.37/0.83 (define @t112 () (forall @t110 @t106)) % 0.37/0.83 (define @t113 () (@list @t1)) % 0.37/0.83 (define @t114 () (or @t104 @t42 @t112)) % 0.37/0.83 (define @t115 () (tptp.neq @t1 tptp.nil)) % 0.37/0.83 (define @t116 () (and @t100 @t115)) % 0.37/0.83 (define @t117 () (not @t67)) % 0.37/0.83 (define @t118 () (not @t27)) % 0.37/0.83 (define @t119 () (or @t118 @t117 @t116)) % 0.37/0.83 (define @t120 () (forall @t7 @t119)) % 0.37/0.83 (define @t121 () (or @t104 @t42 @t120)) % 0.37/0.83 (define @t122 () (or @t42 @t104 @t120)) % 0.37/0.83 (define @t123 () (or @t42 @t104 @t119)) % 0.37/0.83 (define @t124 () (or @t118 @t42 @t104 @t117 @t116)) % 0.37/0.83 (define @t125 () (or @t42 @t118 @t104 @t117 @t116)) % 0.37/0.83 (define @t126 () (or @t104 @t117 @t116)) % 0.37/0.83 (define @t127 () (not (= @t2 @t2))) % 0.37/0.83 (define @t128 () (or @t104 @t127 @t117 @t116)) % 0.37/0.83 (define @t129 () (and @t84 @t115)) % 0.37/0.83 (define @t130 () (not @t66)) % 0.37/0.83 (define @t131 () (not @t15)) % 0.37/0.83 (define @t132 () (or @t87 @t131 @t87 @t130 @t129)) % 0.37/0.83 (define @t133 () (or @t131 @t87 @t130 @t129)) % 0.37/0.83 (define @t134 () (forall @t16 @t133)) % 0.37/0.83 (define @t135 () (or @t42 @t118 @t134)) % 0.37/0.83 (define @t136 () (or @t42 @t118 @t133)) % 0.37/0.83 (define @t137 () (or @t131 @t87 @t42 @t118 @t130 @t129)) % 0.37/0.83 (define @t138 () (or @t87 @t42 @t118 @t130 @t129)) % 0.37/0.83 (define @t139 () (or @t118 @t130 @t129)) % 0.37/0.83 (define @t140 () (not (= @t1 @t1))) % 0.37/0.83 (define @t141 () (or @t118 @t140 @t130 @t129)) % 0.37/0.83 (define @t142 () (or @t88 @t89 @t88 @t86 @t85)) % 0.37/0.83 (define @t143 () (or @t89 @t88 @t86 @t85)) % 0.37/0.83 (define @t144 () (forall @t14 @t143)) % 0.37/0.83 (define @t145 () (or @t87 @t42 @t144)) % 0.37/0.83 (define @t146 () (or @t87 @t42 @t143)) % 0.37/0.83 (define @t147 () (forall @t108 @t105)) % 0.37/0.83 (define @t148 () (@quantifiers_skolemize @t147 1)) % 0.37/0.83 (define @t149 () (tptp.neq @t148 tptp.nil)) % 0.37/0.83 (define @t150 () (@quantifiers_skolemize @t147 0)) % 0.37/0.83 (define @t151 () (tptp.singletonP @t150)) % 0.37/0.83 (define @t152 () (not @t151)) % 0.37/0.83 (define @t153 () (and @t152 @t149)) % 0.37/0.83 (define @t154 () (tptp.segmentP @t148 @t150)) % 0.37/0.83 (define @t155 () (not @t154)) % 0.37/0.83 (define @t156 () (tptp.ssList @t148)) % 0.37/0.83 (define @t157 () (not @t156)) % 0.37/0.83 (define @t158 () (tptp.strictorderedP @t150)) % 0.37/0.83 (define @t159 () (tptp.ssList @t150)) % 0.37/0.83 (define @t160 () (not @t159)) % 0.37/0.83 (define @t161 () (or @t160 @t158 @t157 @t155 @t153)) % 0.37/0.83 (define @t162 () (not @t158)) % 0.37/0.83 (define @t163 () (@list true)) % 0.37/0.83 (define @t164 () (@list @t161)) % 0.37/0.83 (define @t165 () (= @t2 @t18)) % 0.37/0.83 (define @t166 () (not @t6)) % 0.37/0.83 (define @t167 () (= @t21 (not (forall @t7 (or @t166 (not @t165)))))) % 0.37/0.83 (define @t168 () (and @t6 @t165)) % 0.37/0.83 (define @t169 () (forall @t7 (not @t168))) % 0.37/0.83 (define @t170 () (not @t169)) % 0.37/0.83 (define @t171 () (not (= @t150 @t18))) % 0.37/0.83 (define @t172 () (or @t166 @t171)) % 0.37/0.83 (define @t173 () (forall @t7 @t172)) % 0.37/0.83 (define @t174 () (not @t173)) % 0.37/0.83 (define @t175 () (= @t151 @t174)) % 0.37/0.83 (define @t176 () (or @t160 @t175)) % 0.37/0.83 (define @t177 () (forall @t9 (or @t104 @t167))) % 0.37/0.83 (define @t178 () (@list @t150)) % 0.37/0.83 (define @t179 () (forall @t7 (or @t166 (not (= @t18 @t150))))) % 0.37/0.83 (define @t180 () (not @t179)) % 0.37/0.83 (define @t181 () (= @t151 @t180)) % 0.37/0.83 (define @t182 () (or @t160 @t181)) % 0.37/0.83 (define @t183 () (@list false)) % 0.37/0.83 (define @t184 () (@list false false)) % 0.37/0.83 (define @t185 () (@var "BOUND_VARIABLE_9092" $$unsorted)) % 0.37/0.83 (define @t186 () (= (tptp.neq @t2 @t185) (not (= @t2 @t185)))) % 0.37/0.83 (define @t187 () (not (tptp.ssList @t185))) % 0.37/0.83 (define @t188 () (or @t104 @t187 @t186)) % 0.37/0.83 (define @t189 () (or @t187 @t186)) % 0.37/0.83 (define @t190 () (or @t104 @t189)) % 0.37/0.83 (define @t191 () (@list @t2 @t185)) % 0.37/0.83 (define @t192 () (forall @t191 @t190)) % 0.37/0.83 (define @t193 () (@list @t185)) % 0.37/0.83 (define @t194 () (forall @t193 @t190)) % 0.37/0.83 (define @t195 () (forall @t193 @t189)) % 0.37/0.83 (define @t196 () (or @t104 @t195)) % 0.37/0.83 (define @t197 () (forall @t7 (or @t118 @t5))) % 0.37/0.83 (define @t198 () (not (= @t148 tptp.nil))) % 0.37/0.83 (define @t199 () (= @t149 @t198)) % 0.37/0.83 (define @t200 () (not @t48)) % 0.37/0.83 (define @t201 () (or @t157 @t200 @t199)) % 0.37/0.83 (define @t202 () (forall @t191 @t188)) % 0.37/0.83 (define @t203 () (= tptp.nil @t148)) % 0.37/0.83 (define @t204 () (not @t203)) % 0.37/0.83 (define @t205 () (= @t149 @t204)) % 0.37/0.83 (define @t206 () (or @t157 @t200 @t205)) % 0.37/0.83 (define @t207 () (tptp.segmentP @t150 tptp.nil)) % 0.37/0.83 (define @t208 () (or @t160 @t207)) % 0.37/0.83 (define @t209 () (tptp.segmentP @t150 @t148)) % 0.37/0.83 (define @t210 () (and @t203 @t207)) % 0.37/0.83 (define @t211 () (@var "BOUND_VARIABLE_10121" $$unsorted)) % 0.37/0.83 (define @t212 () (= @t2 @t211)) % 0.37/0.83 (define @t213 () (not (tptp.segmentP @t211 @t2))) % 0.37/0.83 (define @t214 () (not (tptp.segmentP @t2 @t211))) % 0.37/0.83 (define @t215 () (not (tptp.ssList @t211))) % 0.37/0.83 (define @t216 () (or @t104 @t215 @t214 @t213 @t212)) % 0.37/0.83 (define @t217 () (or @t215 @t214 @t213 @t212)) % 0.37/0.83 (define @t218 () (or @t104 @t217)) % 0.37/0.83 (define @t219 () (@list @t2 @t211)) % 0.37/0.83 (define @t220 () (forall @t219 @t218)) % 0.37/0.83 (define @t221 () (@list @t211)) % 0.37/0.83 (define @t222 () (forall @t221 @t218)) % 0.37/0.83 (define @t223 () (forall @t221 @t217)) % 0.37/0.83 (define @t224 () (or @t104 @t223)) % 0.37/0.83 (define @t225 () (not @t30)) % 0.37/0.83 (define @t226 () (or @t118 @t225 @t117 @t3)) % 0.37/0.83 (define @t227 () (forall @t7 @t226)) % 0.37/0.83 (define @t228 () (or @t225 @t117 @t3)) % 0.37/0.83 (define @t229 () (not @t209)) % 0.37/0.83 (define @t230 () (or @t157 @t160 @t155 @t229 (= @t148 @t150))) % 0.37/0.83 (define @t231 () (forall @t219 @t216)) % 0.37/0.83 (define @t232 () (= @t150 @t148)) % 0.37/0.83 (define @t233 () (or @t157 @t160 @t155 @t229 @t232)) % 0.37/0.83 (define @t234 () (not @t232)) % 0.37/0.83 (define @t235 () (not @t82)) % 0.37/0.83 (define @t236 () (not @t162)) % 0.37/0.83 (define @t237 () (= false true)) % 0.37/0.83 (define @t238 () (and @t82 @t203 @t232 @t162)) % 0.37/0.83 (define @t239 () (not @t205)) % 0.37/0.83 (define @t240 () (@list true false)) % 0.37/0.83 (define @t241 () (not @t149)) % 0.37/0.83 (define @t242 () (@quantifiers_skolemize @t179 0)) % 0.37/0.83 (define @t243 () (tptp.cons @t242 tptp.nil)) % 0.37/0.83 (define @t244 () (= @t150 @t243)) % 0.37/0.83 (define @t245 () (not @t244)) % 0.37/0.83 (define @t246 () (tptp.ssItem @t242)) % 0.37/0.83 (define @t247 () (not @t246)) % 0.37/0.83 (define @t248 () (or @t247 @t245)) % 0.37/0.83 (define @t249 () (not @t248)) % 0.37/0.83 (define @t250 () (not (= @t243 @t150))) % 0.37/0.83 (define @t251 () (or @t247 @t250)) % 0.37/0.83 (define @t252 () (not @t251)) % 0.37/0.83 (define @t253 () (@list @t248)) % 0.37/0.83 (define @t254 () (tptp.strictorderedP @t243)) % 0.37/0.83 (define @t255 () (or @t247 @t254)) % 0.37/0.83 (define @t256 () (not @t254)) % 0.37/0.83 (define @t257 () (and @t254 @t244 @t162)) % 0.37/0.83 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.37/0.83 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.37/0.83 (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))))))))))) % 0.37/0.83 (assume @p4 @t24) % 0.37/0.83 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t26 (exists @t16 (and @t15 (= @t25 @t2))))))))) % 0.37/0.83 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t29 (exists @t16 (and @t15 (= @t28 @t2))))))))) % 0.37/0.83 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t30 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t28 @t10) @t2))))))))))) % 0.37/0.83 (assume @p8 (forall @t9 (=> @t17 (= (tptp.cyclefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (not (and @t32 @t31))))))))))))))))) % 0.37/0.83 (assume @p9 (forall @t9 (=> @t17 (= (tptp.totalorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (or @t32 @t31)))))))))))))))) % 0.37/0.83 (assume @p10 (forall @t9 (=> @t17 (= (tptp.strictorderP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (or @t41 (tptp.lt @t12 @t1))))))))))))))))) % 0.37/0.83 (assume @p11 (forall @t9 (=> @t17 (= (tptp.totalorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 @t32))))))))))))))) % 0.37/0.83 (assume @p12 (forall @t9 (=> @t17 (= @t42 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 @t41))))))))))))))) % 0.37/0.83 (assume @p13 (forall @t9 (=> @t17 (= (tptp.duplicatefreeP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 (not @t43)))))))))))))))) % 0.37/0.83 (assume @p14 (forall @t9 (=> @t17 (= (tptp.equalelemsP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t34))) @t2) @t43))))))))))))) % 0.37/0.83 (assume @p15 @t46) % 0.37/0.83 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t47)))))) % 0.37/0.83 (assume @p17 @t48) % 0.37/0.83 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t47 @t2))))))) % 0.37/0.83 (assume @p19 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t40 (forall @t14 (=> (tptp.ssItem @t10) (=> (= (tptp.cons @t12 @t2) (tptp.cons @t10 @t1)) (and (= @t12 @t10) @t49))))))))))) % 0.37/0.83 (assume @p20 (forall @t9 (=> @t17 (or @t51 (exists @t7 (and @t27 (exists @t16 (and @t40 (= @t50 @t2))))))))) % 0.37/0.83 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t47))))))) % 0.37/0.83 (assume @p22 (forall @t9 (=> @t17 (=> @t53 (tptp.ssItem @t52))))) % 0.37/0.83 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t47) @t1)))))) % 0.37/0.83 (assume @p24 (forall @t9 (=> @t17 (=> @t53 (tptp.ssList @t54))))) % 0.37/0.83 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t47) @t2)))))) % 0.37/0.83 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (tptp.ssList @t55)))))) % 0.37/0.83 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t40 (= (tptp.cons @t12 @t56) (tptp.app @t50 @t2))))))))) % 0.37/0.83 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.37/0.83 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t58 @t57) @t3)))))) % 0.37/0.83 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t58 @t32) (tptp.leq @t2 @t12))))))))) % 0.37/0.83 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.37/0.83 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t59 @t57)))))) % 0.37/0.83 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t61 (not @t60))))))) % 0.37/0.83 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t61 @t41) @t62)))))))) % 0.37/0.83 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t63 @t60)))))) % 0.37/0.83 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.memberP @t25 @t2) (or (tptp.memberP @t1 @t2) @t64))))))))) % 0.37/0.83 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t64))))))))) % 0.37/0.83 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.37/0.83 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.37/0.83 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t26 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.37/0.83 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t26 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.37/0.83 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.37/0.83 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t26 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.37/0.83 (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)))))))))))) % 0.37/0.83 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.37/0.83 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t51)))) % 0.37/0.83 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t29 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.37/0.83 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t29 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.37/0.83 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.37/0.83 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t29 (tptp.rearsegP @t65 @t1))))))))) % 0.37/0.83 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.37/0.83 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t51)))) % 0.37/0.83 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t30 @t66) (tptp.segmentP @t2 @t12))))))))) % 0.37/0.83 (assume @p54 @t72) % 0.37/0.83 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.37/0.83 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t30 (tptp.segmentP (tptp.app @t65 @t10) @t1))))))))))) % 0.37/0.83 (assume @p57 @t74) % 0.37/0.83 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t51)))) % 0.37/0.83 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t75)))) % 0.37/0.83 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.37/0.83 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t75)))) % 0.37/0.83 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.37/0.83 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t75)))) % 0.37/0.83 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.37/0.83 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t75)))) % 0.37/0.83 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.37/0.83 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.totalorderedP @t79) (or @t77 (and @t78 (tptp.totalorderedP @t1) (tptp.leq @t2 @t76))))))))) % 0.37/0.83 (assume @p68 @t81) % 0.37/0.83 (assume @p69 @t82) % 0.37/0.83 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.strictorderedP @t79) (or @t77 (and @t78 (tptp.strictorderedP @t1) (tptp.lt @t2 @t76))))))))) % 0.37/0.83 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t75)))) % 0.37/0.83 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.37/0.83 (assume @p73 (forall @t9 (=> @t8 (tptp.equalelemsP @t75)))) % 0.37/0.83 (assume @p74 (tptp.equalelemsP tptp.nil)) % 0.37/0.83 (assume @p75 (forall @t9 (=> @t17 (=> @t53 (exists @t7 (and @t6 (= @t52 @t1))))))) % 0.37/0.83 (assume @p76 (forall @t9 (=> @t17 (=> @t53 (exists @t7 (and @t27 (= @t54 @t1))))))) % 0.37/0.83 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t78 @t53 (= @t76 @t52) (= (tptp.tl @t1) @t54)) @t49)))))) % 0.37/0.83 (assume @p78 (forall @t9 (=> @t17 (=> @t53 (= (tptp.cons @t52 @t54) @t2))))) % 0.37/0.83 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t28 @t55) @t83)))))))) % 0.37/0.83 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t25 @t56) @t83)))))))) % 0.37/0.83 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t47 (tptp.app @t18 @t2))))))) % 0.37/0.83 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.app @t55 @t12) (tptp.app @t2 @t25))))))))) % 0.37/0.83 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= (= tptp.nil @t55) (and @t77 @t51))))))) % 0.37/0.83 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.37/0.83 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t53 (= (tptp.hd @t55) @t52))))))) % 0.37/0.83 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t53 (= (tptp.tl @t55) (tptp.app @t54 @t1)))))))) % 0.37/0.83 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t59 (tptp.geq @t1 @t2)) @t3)))))) % 0.37/0.83 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t59 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.37/0.83 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.37/0.83 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.37/0.83 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t58 @t41) @t62)))))))) % 0.37/0.83 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t58 (or @t3 @t61))))))) % 0.37/0.83 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t61 (and @t4 @t58))))))) % 0.37/0.83 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t63 (not (tptp.gt @t1 @t2)))))))) % 0.37/0.83 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t63 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.37/0.83 (assume @p96 @t98) % 0.37/0.83 (assume @p97 true) % 0.37/0.83 (step @p98 :rule aci_norm :args ((= @t107 @t105))) % 0.37/0.83 (step @p99 :rule cong :premises (@p98) :args (@t109)) % 0.37/0.83 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t111) @t109))) % 0.37/0.83 (step @p101 :rule alpha_equiv :args (@t112 (@list @t99) @t113)) % 0.37/0.83 (step @p102 :rule refl :args (@t42)) % 0.37/0.83 (step @p103 :rule refl :args (@t104)) % 0.37/0.83 (step @p104 :rule nary_cong :premises (@p103 @p102 @p101) :args (@t114)) % 0.37/0.83 (step @p105 :rule quant-miniscope-or :args ((= @t111 @t114))) % 0.37/0.83 (step @p106 :rule trans :premises (@p105 @p104)) % 0.37/0.83 (step @p107 :rule symm :premises (@p106)) % 0.37/0.83 (step @p108 :rule cong :premises (@p107) :args ((forall @t9 @t121))) % 0.37/0.83 (step @p109 :rule trans :premises (@p108 @p100)) % 0.37/0.83 (step @p110 :rule trans :premises (@p109 @p99)) % 0.37/0.83 (step @p111 :rule aci_norm :args ((= (or @t104 @t122) @t121))) % 0.37/0.83 (step @p112 :rule bool-impl-elim :args (@t17 @t122)) % 0.37/0.83 (step @p113 :rule trans :premises (@p112 @p111)) % 0.37/0.83 (step @p114 :rule cong :premises (@p113) :args ((forall @t9 (=> @t17 @t122)))) % 0.37/0.83 (step @p115 :rule trans :premises (@p114 @p110)) % 0.37/0.83 (step @p116 :rule quant-miniscope-or :args ((= (forall @t7 @t123) @t122))) % 0.37/0.83 (step @p117 :rule aci_norm :args ((= @t124 @t123))) % 0.37/0.83 (step @p118 :rule cong :premises (@p117) :args ((forall @t7 @t124))) % 0.37/0.83 (step @p119 :rule trans :premises (@p118 @p116)) % 0.37/0.83 (step @p120 :rule aci_norm :args ((= (or @t118 @t125) @t124))) % 0.37/0.83 (step @p121 :rule bool-impl-elim :args (@t27 @t125)) % 0.37/0.83 (step @p122 :rule trans :premises (@p121 @p120)) % 0.37/0.83 (step @p123 :rule cong :premises (@p122) :args ((forall @t7 (=> @t27 @t125)))) % 0.37/0.83 (step @p124 :rule trans :premises (@p123 @p119)) % 0.37/0.83 (step @p125 :rule aci_norm :args ((= (or @t42 @t118 @t126) @t125))) % 0.37/0.83 (step @p126 :rule aci_norm :args ((= (or @t104 false @t117 @t116) @t126))) % 0.37/0.83 (step @p127 :rule refl :args (@t116)) % 0.37/0.83 (step @p128 :rule refl :args (@t117)) % 0.37/0.83 (step @p129 :rule evaluate :args ((not true))) % 0.37/0.83 (step @p130 :rule eq-refl :args (@t2)) % 0.37/0.83 (step @p131 :rule cong 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symm :premises (@p522)) % 0.37/0.83 (step @p396 :rule cong :premises (@p395) :args ((tptp.strictorderedP @t148))) % 0.37/0.83 (step @p397 :rule cong :premises (@p523) :args (@t158)) % 0.37/0.83 (step @p398 :rule false_intro :premises (@p209)) % 0.37/0.83 (step @p399 :rule symm :premises (@p398)) % 0.37/0.83 (step @p400 :rule trans :premises (@p399 @p397 @p396 @p394)) % 0.37/0.83 (step @p401 false :rule eq_resolve :premises (@p400 @p393)) % 0.37/0.83 (step-pop @p525 :rule scope :premises (@p401)) % 0.37/0.83 (step-pop @p526 :rule scope :premises (@p525)) % 0.37/0.83 (step-pop @p527 :rule scope :premises (@p526)) % 0.37/0.83 (step-pop @p528 :rule scope :premises (@p527)) % 0.37/0.83 (step @p402 :rule process_scope :premises (@p528) :args (false)) % 0.37/0.83 (assume-push @p529 @t82) % 0.37/0.83 (assume-push @p530 @t162) % 0.37/0.83 (assume-push @p531 @t203) % 0.37/0.83 (assume-push @p532 @t232) % 0.37/0.83 (step @p411 :rule and_intro :premises (@p69 @p531 @p532 @p209)) % 0.37/0.83 (step-pop @p533 :rule scope :premises (@p411)) % 0.37/0.83 (step-pop @p534 :rule scope :premises (@p533)) % 0.37/0.83 (step-pop @p535 :rule scope :premises (@p534)) % 0.37/0.83 (step-pop @p536 :rule scope :premises (@p535)) % 0.37/0.83 (step @p412 :rule process_scope :premises (@p536) :args (@t238)) % 0.37/0.83 (step @p417 :rule implies_elim :premises (@p412)) % 0.37/0.83 (step @p418 :rule resolution :premises (@p417 @p402) :args (true @t238)) % 0.37/0.83 (step @p419 :rule not_and :premises (@p418)) % 0.37/0.83 (step @p420 :rule eq_resolve :premises (@p419 @p388)) % 0.37/0.83 (step @p421 :rule chain_m_resolution :premises (@p420 @p209 @p69 @p383 @p381 @p336 @p298 @p253 @p330 @p308) :args (@t204 (@list true false false false false false false false false) (@list @t158 @t82 @t232 @t233 @t154 @t156 @t159 @t209 @t207))) % 0.37/0.83 (step @p422 :rule bool-double-not-elim :args (@t203)) % 0.37/0.83 (step @p423 :rule refl :args (@t239)) % 0.37/0.83 (step @p424 :rule nary_cong :premises (@p423 @p279 @p422) :args ((or @t239 @t149 (not @t204)))) % 0.37/0.83 (step @p425 :rule cnf_equiv_pos2 :args (@t205)) % 0.37/0.83 (step @p426 :rule eq_resolve :premises (@p425 @p424)) % 0.37/0.83 (step @p427 :rule reordering :premises (@p426) :args ((or @t149 @t203 @t239))) % 0.37/0.83 (step @p428 :rule chain_m_resolution :premises (@p427 @p421 @p301) :args (@t149 @t240 (@list @t203 @t205))) % 0.37/0.83 (step @p429 :rule cnf_or_neg :args (@t161 4)) % 0.37/0.83 (step @p430 :rule chain_m_resolution :premises (@p429 @p207) :args ((not @t153) @t163 @t164)) % 0.37/0.83 (step @p431 :rule refl :args (@t241)) % 0.37/0.83 (step @p432 :rule bool-double-not-elim :args (@t151)) % 0.37/0.83 (step @p433 :rule refl :args (@t153)) % 0.37/0.83 (step @p434 :rule nary_cong :premises (@p433 @p432 @p431) :args ((or @t153 (not @t152) @t241))) % 0.37/0.83 (step @p435 :rule cnf_and_neg :args (@t153)) % 0.37/0.83 (step @p436 :rule eq_resolve :premises (@p435 @p434)) % 0.37/0.83 (step @p437 :rule reordering :premises (@p436) :args ((or @t151 @t153 @t241))) % 0.37/0.83 (step @p438 :rule chain_m_resolution :premises (@p437 @p430 @p428) :args (@t151 @t240 (@list @t153 @t149))) % 0.37/0.83 (step @p439 :rule cnf_equiv_pos1 :args (@t181)) % 0.37/0.83 (step @p440 :rule reordering :premises (@p439) :args ((or @t152 @t180 (not @t181)))) % 0.37/0.83 (step @p441 :rule chain_m_resolution :premises (@p440 @p438 @p256) :args (@t180 @t184 (@list @t151 @t181))) % 0.37/0.83 (step @p442 :rule refl :args (@t249)) % 0.37/0.83 (step @p443 :rule bool-double-not-elim :args (@t179)) % 0.37/0.83 (step @p444 :rule nary_cong :premises (@p443 @p442) :args ((or (not @t180) @t249))) % 0.37/0.83 (step @p445 :rule eq-symm :args (@t243 @t150)) % 0.37/0.83 (step @p446 :rule cong :premises (@p445) :args (@t250)) % 0.37/0.83 (step @p447 :rule refl :args (@t247)) % 0.37/0.83 (step @p448 :rule nary_cong :premises (@p447 @p446) :args (@t251)) % 0.37/0.83 (step @p449 :rule cong :premises (@p448) :args (@t252)) % 0.37/0.83 (step @p450 :rule refl :args (@t180)) % 0.37/0.83 (step @p451 :rule cong :premises (@p450 @p449) :args ((=> @t180 @t252))) % 0.37/0.83 (assume-push @p537 @t180) % 0.37/0.83 (step @p453 :rule skolemize :premises (@p537)) % 0.37/0.83 (step-pop @p538 :rule scope :premises (@p453)) % 0.37/0.83 (step @p454 :rule process_scope :premises (@p538) :args (@t252)) % 0.37/0.83 (step @p456 :rule eq_resolve :premises (@p454 @p451)) % 0.37/0.83 (step @p457 :rule implies_elim :premises (@p456)) % 0.37/0.83 (step @p458 :rule eq_resolve :premises (@p457 @p444)) % 0.37/0.83 (step @p459 :rule chain_m_resolution :premises (@p458 @p441) :args (@t249 @t163 (@list @t179))) % 0.37/0.83 (step @p460 :rule bool-double-not-elim :args (@t244)) % 0.37/0.83 (step @p461 :rule refl :args (@t248)) % 0.37/0.83 (step @p462 :rule nary_cong :premises (@p461 @p460) :args ((or @t248 (not @t245)))) % 0.37/0.83 (step @p463 :rule cnf_or_neg :args (@t248 1)) % 0.37/0.83 (step @p464 :rule eq_resolve :premises (@p463 @p462)) % 0.37/0.83 (step @p465 :rule reordering :premises (@p464) :args ((or @t244 @t248))) % 0.37/0.83 (step @p466 :rule chain_m_resolution :premises (@p465 @p459) :args (@t244 @t163 @t253)) % 0.37/0.83 (step @p467 :rule bool-impl-elim :args (@t8 @t80)) % 0.37/0.83 (step @p468 :rule cong :premises (@p467) :args (@t81)) % 0.37/0.83 (step @p469 :rule eq_resolve :premises (@p68 @p468)) % 0.37/0.83 (step @p470 :rule instantiate :premises (@p469) :args ((@list @t242))) % 0.37/0.83 (step @p471 :rule bool-double-not-elim :args (@t246)) % 0.37/0.83 (step @p472 :rule nary_cong :premises (@p461 @p471) :args ((or @t248 (not @t247)))) % 0.37/0.83 (step @p473 :rule cnf_or_neg :args (@t248 0)) % 0.37/0.83 (step @p474 :rule eq_resolve :premises (@p473 @p472)) % 0.37/0.83 (step @p475 :rule reordering :premises (@p474) :args ((or @t246 @t248))) % 0.37/0.83 (step @p476 :rule chain_m_resolution :premises (@p475 @p459) :args (@t246 @t163 @t253)) % 0.37/0.83 (step @p477 :rule cnf_or_pos :args (@t255)) % 0.37/0.83 (step @p478 :rule reordering :premises (@p477) :args ((or @t247 @t254 (not @t255)))) % 0.37/0.83 (step @p479 :rule chain_m_resolution :premises (@p478 @p476 @p470) :args (@t254 @t184 (@list @t246 @t255))) % 0.37/0.83 (step @p480 :rule refl :args (@t256)) % 0.37/0.83 (step @p481 :rule refl :args (@t245)) % 0.37/0.83 (step @p482 :rule nary_cong :premises (@p386 @p481 @p480) :args ((or @t236 @t245 @t256))) % 0.37/0.83 (assume-push @p539 @t254) % 0.37/0.83 (assume-push @p540 @t244) % 0.37/0.83 (assume-push @p541 @t162) % 0.37/0.83 (step @p393 :rule evaluate :args (@t237)) % 0.37/0.83 (step @p486 :rule true_intro :premises (@p539)) % 0.37/0.83 (step @p487 :rule cong :premises (@p540) :args (@t158)) % 0.37/0.83 (step @p398 :rule false_intro :premises (@p209)) % 0.37/0.83 (step @p399 :rule symm :premises (@p398)) % 0.37/0.83 (step @p488 :rule trans :premises (@p399 @p487 @p486)) % 0.37/0.83 (step @p489 false :rule eq_resolve :premises (@p488 @p393)) % 0.37/0.83 (step-pop @p542 :rule scope :premises (@p489)) % 0.37/0.83 (step-pop @p543 :rule scope :premises (@p542)) % 0.37/0.83 (step-pop @p544 :rule scope :premises (@p543)) % 0.37/0.83 (step @p490 :rule process_scope :premises (@p544) :args (false)) % 0.37/0.83 (assume-push @p545 @t162) % 0.37/0.83 (assume-push @p546 @t244) % 0.37/0.83 (assume-push @p547 @t254) % 0.37/0.83 (step @p497 :rule and_intro :premises (@p547 @p546 @p209)) % 0.37/0.83 (step-pop @p548 :rule scope :premises (@p497)) % 0.37/0.83 (step-pop @p549 :rule scope :premises (@p548)) % 0.37/0.83 (step-pop @p550 :rule scope :premises (@p549)) % 0.37/0.83 (step @p498 :rule process_scope :premises (@p550) :args (@t257)) % 0.37/0.83 (step @p502 :rule implies_elim :premises (@p498)) % 0.37/0.83 (step @p503 :rule resolution :premises (@p502 @p490) :args (true @t257)) % 0.37/0.83 (step @p504 :rule not_and :premises (@p503)) % 0.37/0.83 (step @p505 :rule eq_resolve :premises (@p504 @p482)) % 0.37/0.83 (step @p506 false :rule chain_m_resolution :premises (@p505 @p479 @p466 @p209) :args (false (@list false false true) (@list @t254 @t244 @t158))) % 0.37/0.83 ) % 0.37/0.83 % SZS output end Proof % 0.37/0.83 % cvc5 exiting %------------------------------------------------------------------------------