%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC332+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 : n014.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 08:58:54 AM UTC 2026 % Result : Theorem 0.62s 0.83s % Output : Proof 0.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC332+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 % 0.15/0.33 % Computer : n014.cluster.edu % 0.15/0.33 % Model : x86_64 x86_64 % 0.15/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.33 % Memory : 8042.1875MB % 0.15/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 19:41:58 EDT 2026 % 0.15/0.34 % CPUTime : % 0.30/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.62/0.83 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.62/0.83 % SZS status Theorem % 0.62/0.83 % SZS output start Proof % 0.62/0.83 ( % 0.62/0.83 (declare-sort $$unsorted 0) % 0.62/0.83 (declare-const tptp.tl (-> $$unsorted $$unsorted)) % 0.62/0.83 (declare-const tptp.hd (-> $$unsorted $$unsorted)) % 0.62/0.83 (declare-const tptp.duplicatefreeP (-> $$unsorted Bool)) % 0.62/0.83 (declare-const tptp.strictorderedP (-> $$unsorted Bool)) % 0.62/0.83 (declare-const tptp.geq (-> $$unsorted $$unsorted Bool)) % 0.62/0.83 (declare-const tptp.strictorderP (-> $$unsorted Bool)) % 0.62/0.83 (declare-const tptp.equalelemsP (-> $$unsorted Bool)) % 0.62/0.83 (declare-const tptp.totalorderP (-> $$unsorted Bool)) % 0.62/0.83 (declare-const tptp.neq (-> $$unsorted $$unsorted Bool)) % 0.62/0.83 (declare-const tptp.totalorderedP (-> $$unsorted Bool)) % 0.62/0.83 (declare-const tptp.singletonP (-> $$unsorted Bool)) % 0.62/0.83 (declare-const tptp.cons (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.83 (declare-const tptp.app (-> $$unsorted $$unsorted $$unsorted)) % 0.62/0.83 (declare-const tptp.nil $$unsorted) % 0.62/0.83 (declare-const tptp.memberP (-> $$unsorted $$unsorted Bool)) % 0.62/0.83 (declare-const tptp.lt (-> $$unsorted $$unsorted Bool)) % 0.62/0.83 (declare-const tptp.frontsegP (-> $$unsorted $$unsorted Bool)) % 0.62/0.83 (declare-const tptp.rearsegP (-> $$unsorted $$unsorted Bool)) % 0.62/0.83 (declare-const tptp.gt (-> $$unsorted $$unsorted Bool)) % 0.62/0.83 (declare-const tptp.ssList (-> $$unsorted Bool)) % 0.62/0.83 (declare-const tptp.segmentP (-> $$unsorted $$unsorted Bool)) % 0.62/0.83 (declare-const tptp.cyclefreeP (-> $$unsorted Bool)) % 0.62/0.83 (declare-const tptp.ssItem (-> $$unsorted Bool)) % 0.62/0.83 (declare-const tptp.leq (-> $$unsorted $$unsorted Bool)) % 0.62/0.83 (define @t1 () (@var "V" $$unsorted)) % 0.62/0.83 (define @t2 () (@var "U" $$unsorted)) % 0.62/0.83 (define @t3 () (= @t2 @t1)) % 0.62/0.83 (define @t4 () (not @t3)) % 0.62/0.83 (define @t5 () (= (tptp.neq @t2 @t1) @t4)) % 0.62/0.83 (define @t6 () (tptp.ssItem @t1)) % 0.62/0.83 (define @t7 () (@list @t1)) % 0.62/0.83 (define @t8 () (tptp.ssItem @t2)) % 0.62/0.83 (define @t9 () (@list @t2)) % 0.62/0.83 (define @t10 () (@var "X" $$unsorted)) % 0.62/0.83 (define @t11 () (tptp.cons @t1 @t10)) % 0.62/0.83 (define @t12 () (@var "W" $$unsorted)) % 0.62/0.83 (define @t13 () (tptp.ssList @t10)) % 0.62/0.83 (define @t14 () (@list @t10)) % 0.62/0.83 (define @t15 () (tptp.ssList @t12)) % 0.62/0.83 (define @t16 () (@list @t12)) % 0.62/0.83 (define @t17 () (tptp.ssList @t2)) % 0.62/0.83 (define @t18 () (tptp.cons @t1 tptp.nil)) % 0.62/0.83 (define @t19 () (and @t6 (= @t18 @t2))) % 0.62/0.83 (define @t20 () (exists @t7 @t19)) % 0.62/0.83 (define @t21 () (tptp.singletonP @t2)) % 0.62/0.83 (define @t22 () (= @t21 @t20)) % 0.62/0.83 (define @t23 () (=> @t17 @t22)) % 0.62/0.83 (define @t24 () (forall @t9 @t23)) % 0.62/0.83 (define @t25 () (tptp.app @t1 @t12)) % 0.62/0.83 (define @t26 () (tptp.frontsegP @t2 @t1)) % 0.62/0.83 (define @t27 () (tptp.ssList @t1)) % 0.62/0.83 (define @t28 () (tptp.app @t12 @t1)) % 0.62/0.83 (define @t29 () (tptp.rearsegP @t2 @t1)) % 0.62/0.83 (define @t30 () (tptp.segmentP @t2 @t1)) % 0.62/0.83 (define @t31 () (tptp.leq @t12 @t1)) % 0.62/0.83 (define @t32 () (tptp.leq @t1 @t12)) % 0.62/0.83 (define @t33 () (@var "Z" $$unsorted)) % 0.62/0.83 (define @t34 () (@var "Y" $$unsorted)) % 0.62/0.83 (define @t35 () (= (tptp.app (tptp.app @t10 (tptp.cons @t1 @t34)) (tptp.cons @t12 @t33)) @t2)) % 0.62/0.83 (define @t36 () (tptp.ssList @t33)) % 0.62/0.83 (define @t37 () (@list @t33)) % 0.62/0.83 (define @t38 () (tptp.ssList @t34)) % 0.62/0.83 (define @t39 () (@list @t34)) % 0.62/0.83 (define @t40 () (tptp.ssItem @t12)) % 0.62/0.83 (define @t41 () (tptp.lt @t1 @t12)) % 0.62/0.83 (define @t42 () (= @t1 @t12)) % 0.62/0.83 (define @t43 () (tptp.equalelemsP @t2)) % 0.62/0.83 (define @t44 () (forall @t7 (=> @t27 @t5))) % 0.62/0.83 (define @t45 () (=> @t17 @t44)) % 0.62/0.83 (define @t46 () (forall @t9 @t45)) % 0.62/0.83 (define @t47 () (tptp.cons @t1 @t2)) % 0.62/0.83 (define @t48 () (tptp.ssList tptp.nil)) % 0.62/0.83 (define @t49 () (= @t1 @t2)) % 0.62/0.83 (define @t50 () (tptp.cons @t12 @t1)) % 0.62/0.83 (define @t51 () (= tptp.nil @t2)) % 0.62/0.83 (define @t52 () (tptp.hd @t2)) % 0.62/0.83 (define @t53 () (not @t51)) % 0.62/0.83 (define @t54 () (tptp.tl @t2)) % 0.62/0.83 (define @t55 () (tptp.app @t2 @t1)) % 0.62/0.83 (define @t56 () (tptp.app @t1 @t2)) % 0.62/0.83 (define @t57 () (tptp.leq @t1 @t2)) % 0.62/0.83 (define @t58 () (tptp.leq @t2 @t1)) % 0.62/0.83 (define @t59 () (tptp.geq @t2 @t1)) % 0.62/0.83 (define @t60 () (tptp.lt @t1 @t2)) % 0.62/0.83 (define @t61 () (tptp.lt @t2 @t1)) % 0.62/0.83 (define @t62 () (tptp.lt @t2 @t12)) % 0.62/0.83 (define @t63 () (tptp.gt @t2 @t1)) % 0.62/0.83 (define @t64 () (tptp.memberP @t12 @t2)) % 0.62/0.83 (define @t65 () (tptp.app @t12 @t2)) % 0.62/0.83 (define @t66 () (tptp.segmentP @t1 @t12)) % 0.62/0.83 (define @t67 () (tptp.segmentP @t1 @t2)) % 0.62/0.83 (define @t68 () (and @t30 @t67)) % 0.62/0.83 (define @t69 () (=> @t68 @t3)) % 0.62/0.83 (define @t70 () (forall @t7 (=> @t27 @t69))) % 0.62/0.83 (define @t71 () (=> @t17 @t70)) % 0.62/0.83 (define @t72 () (forall @t9 @t71)) % 0.62/0.83 (define @t73 () (tptp.segmentP @t2 tptp.nil)) % 0.62/0.83 (define @t74 () (forall @t9 (=> @t17 @t73))) % 0.62/0.83 (define @t75 () (tptp.cons @t2 tptp.nil)) % 0.62/0.83 (define @t76 () (tptp.hd @t1)) % 0.62/0.83 (define @t77 () (= tptp.nil @t1)) % 0.62/0.83 (define @t78 () (not @t77)) % 0.62/0.83 (define @t79 () (tptp.cons @t2 @t1)) % 0.62/0.83 (define @t80 () (tptp.equalelemsP @t75)) % 0.62/0.83 (define @t81 () (forall @t9 (=> @t8 @t80))) % 0.62/0.83 (define @t82 () (tptp.equalelemsP tptp.nil)) % 0.62/0.83 (define @t83 () (= @t12 @t2)) % 0.62/0.83 (define @t84 () (and @t67 @t43)) % 0.62/0.83 (define @t85 () (not (tptp.singletonP @t12))) % 0.62/0.83 (define @t86 () (and @t85 (tptp.neq @t10 tptp.nil))) % 0.62/0.83 (define @t87 () (not (tptp.segmentP @t10 @t12))) % 0.62/0.83 (define @t88 () (not (= @t2 @t12))) % 0.62/0.83 (define @t89 () (not (= @t1 @t10))) % 0.62/0.83 (define @t90 () (or @t89 @t88 @t87 @t86 @t84)) % 0.62/0.83 (define @t91 () (forall @t14 (=> @t13 @t90))) % 0.62/0.83 (define @t92 () (=> @t15 @t91)) % 0.62/0.83 (define @t93 () (forall @t16 @t92)) % 0.62/0.83 (define @t94 () (=> @t27 @t93)) % 0.62/0.83 (define @t95 () (forall @t7 @t94)) % 0.62/0.83 (define @t96 () (=> @t17 @t95)) % 0.62/0.83 (define @t97 () (forall @t9 @t96)) % 0.62/0.83 (define @t98 () (not @t97)) % 0.62/0.83 (define @t99 () (@var "BOUND_VARIABLE_10955" $$unsorted)) % 0.62/0.83 (define @t100 () (not @t21)) % 0.62/0.83 (define @t101 () (and @t100 (tptp.neq @t99 tptp.nil))) % 0.62/0.83 (define @t102 () (tptp.segmentP @t99 @t2)) % 0.62/0.83 (define @t103 () (not @t102)) % 0.62/0.83 (define @t104 () (and @t102 @t43)) % 0.62/0.83 (define @t105 () (not (tptp.ssList @t99))) % 0.62/0.83 (define @t106 () (not @t17)) % 0.62/0.83 (define @t107 () (or @t106 @t105 @t104 @t103 @t101)) % 0.62/0.83 (define @t108 () (or @t105 @t104 @t103 @t101)) % 0.62/0.83 (define @t109 () (or @t106 @t108)) % 0.62/0.83 (define @t110 () (@list @t2 @t99)) % 0.62/0.83 (define @t111 () (forall @t110 @t109)) % 0.62/0.83 (define @t112 () (@list @t99)) % 0.62/0.83 (define @t113 () (forall @t112 @t109)) % 0.62/0.83 (define @t114 () (forall @t112 @t108)) % 0.62/0.83 (define @t115 () (@list @t1)) % 0.62/0.83 (define @t116 () (or @t106 @t114)) % 0.62/0.83 (define @t117 () (tptp.neq @t1 tptp.nil)) % 0.62/0.83 (define @t118 () (and @t100 @t117)) % 0.62/0.83 (define @t119 () (not @t67)) % 0.62/0.83 (define @t120 () (not @t27)) % 0.62/0.83 (define @t121 () (or @t120 @t84 @t119 @t118)) % 0.62/0.83 (define @t122 () (or @t106 (forall @t7 @t121))) % 0.62/0.83 (define @t123 () (or @t106 @t121)) % 0.62/0.83 (define @t124 () (or @t120 @t84 @t106 @t119 @t118)) % 0.62/0.83 (define @t125 () (or @t84 @t120 @t106 @t119 @t118)) % 0.62/0.83 (define @t126 () (or @t106 @t119 @t118)) % 0.62/0.83 (define @t127 () (not (= @t2 @t2))) % 0.62/0.83 (define @t128 () (or @t106 @t127 @t119 @t118)) % 0.62/0.83 (define @t129 () (and @t85 @t117)) % 0.62/0.83 (define @t130 () (not @t66)) % 0.62/0.83 (define @t131 () (not @t15)) % 0.62/0.83 (define @t132 () (or @t88 @t131 @t88 @t130 @t129)) % 0.62/0.83 (define @t133 () (or @t131 @t88 @t130 @t129)) % 0.62/0.83 (define @t134 () (forall @t16 @t133)) % 0.62/0.83 (define @t135 () (or @t84 @t120 @t134)) % 0.62/0.83 (define @t136 () (or @t84 @t120 @t133)) % 0.62/0.83 (define @t137 () (or @t131 @t88 @t84 @t120 @t130 @t129)) % 0.62/0.83 (define @t138 () (or @t88 @t84 @t120 @t130 @t129)) % 0.62/0.83 (define @t139 () (or @t120 @t130 @t129)) % 0.62/0.83 (define @t140 () (not (= @t1 @t1))) % 0.62/0.83 (define @t141 () (or @t120 @t140 @t130 @t129)) % 0.62/0.83 (define @t142 () (not @t13)) % 0.62/0.83 (define @t143 () (or @t89 @t142 @t89 @t87 @t86)) % 0.62/0.83 (define @t144 () (or @t142 @t89 @t87 @t86)) % 0.62/0.83 (define @t145 () (forall @t14 @t144)) % 0.62/0.83 (define @t146 () (or @t88 @t84 @t145)) % 0.62/0.83 (define @t147 () (or @t88 @t84 @t144)) % 0.62/0.83 (define @t148 () (or @t142 @t89 @t88 @t87 @t86 @t84)) % 0.62/0.83 (define @t149 () (forall @t110 @t107)) % 0.62/0.83 (define @t150 () (@quantifiers_skolemize @t149 0)) % 0.62/0.83 (define @t151 () (@quantifiers_skolemize @t149 1)) % 0.62/0.83 (define @t152 () (tptp.segmentP @t151 @t150)) % 0.62/0.83 (define @t153 () (tptp.neq @t151 tptp.nil)) % 0.62/0.83 (define @t154 () (tptp.singletonP @t150)) % 0.62/0.83 (define @t155 () (not @t154)) % 0.62/0.83 (define @t156 () (and @t155 @t153)) % 0.62/0.83 (define @t157 () (not @t152)) % 0.62/0.83 (define @t158 () (tptp.equalelemsP @t150)) % 0.62/0.83 (define @t159 () (and @t152 @t158)) % 0.62/0.83 (define @t160 () (tptp.ssList @t151)) % 0.62/0.83 (define @t161 () (not @t160)) % 0.62/0.83 (define @t162 () (tptp.ssList @t150)) % 0.62/0.83 (define @t163 () (not @t162)) % 0.62/0.83 (define @t164 () (or @t163 @t161 @t159 @t157 @t156)) % 0.62/0.83 (define @t165 () (@list true)) % 0.62/0.83 (define @t166 () (@list @t164)) % 0.62/0.83 (define @t167 () (not @t158)) % 0.62/0.83 (define @t168 () (@list true false)) % 0.62/0.83 (define @t169 () (= @t2 @t18)) % 0.62/0.83 (define @t170 () (not @t6)) % 0.62/0.83 (define @t171 () (= @t21 (not (forall @t7 (or @t170 (not @t169)))))) % 0.62/0.83 (define @t172 () (and @t6 @t169)) % 0.62/0.83 (define @t173 () (forall @t7 (not @t172))) % 0.62/0.83 (define @t174 () (not @t173)) % 0.62/0.83 (define @t175 () (not (= @t150 @t18))) % 0.62/0.83 (define @t176 () (or @t170 @t175)) % 0.62/0.83 (define @t177 () (forall @t7 @t176)) % 0.62/0.83 (define @t178 () (not @t177)) % 0.62/0.83 (define @t179 () (= @t154 @t178)) % 0.62/0.83 (define @t180 () (or @t163 @t179)) % 0.62/0.83 (define @t181 () (forall @t9 (or @t106 @t171))) % 0.62/0.83 (define @t182 () (@list @t150)) % 0.62/0.83 (define @t183 () (forall @t7 (or @t170 (not (= @t18 @t150))))) % 0.62/0.83 (define @t184 () (not @t183)) % 0.62/0.83 (define @t185 () (= @t154 @t184)) % 0.62/0.83 (define @t186 () (or @t163 @t185)) % 0.62/0.83 (define @t187 () (@list false)) % 0.62/0.83 (define @t188 () (@list false false)) % 0.62/0.83 (define @t189 () (@var "BOUND_VARIABLE_9094" $$unsorted)) % 0.62/0.83 (define @t190 () (= (tptp.neq @t2 @t189) (not (= @t2 @t189)))) % 0.62/0.83 (define @t191 () (not (tptp.ssList @t189))) % 0.62/0.83 (define @t192 () (or @t106 @t191 @t190)) % 0.62/0.83 (define @t193 () (or @t191 @t190)) % 0.62/0.83 (define @t194 () (or @t106 @t193)) % 0.62/0.83 (define @t195 () (@list @t2 @t189)) % 0.62/0.83 (define @t196 () (forall @t195 @t194)) % 0.62/0.83 (define @t197 () (@list @t189)) % 0.62/0.83 (define @t198 () (forall @t197 @t194)) % 0.62/0.83 (define @t199 () (forall @t197 @t193)) % 0.62/0.83 (define @t200 () (or @t106 @t199)) % 0.62/0.83 (define @t201 () (forall @t7 (or @t120 @t5))) % 0.62/0.83 (define @t202 () (not (= @t151 tptp.nil))) % 0.62/0.83 (define @t203 () (= @t153 @t202)) % 0.62/0.83 (define @t204 () (not @t48)) % 0.62/0.83 (define @t205 () (or @t161 @t204 @t203)) % 0.62/0.83 (define @t206 () (forall @t195 @t192)) % 0.62/0.83 (define @t207 () (= tptp.nil @t151)) % 0.62/0.83 (define @t208 () (not @t207)) % 0.62/0.83 (define @t209 () (= @t153 @t208)) % 0.62/0.83 (define @t210 () (or @t161 @t204 @t209)) % 0.62/0.83 (define @t211 () (tptp.segmentP @t150 tptp.nil)) % 0.62/0.83 (define @t212 () (or @t163 @t211)) % 0.62/0.83 (define @t213 () (tptp.segmentP @t150 @t151)) % 0.62/0.83 (define @t214 () (and @t207 @t211)) % 0.62/0.83 (define @t215 () (@var "BOUND_VARIABLE_10123" $$unsorted)) % 0.62/0.83 (define @t216 () (= @t2 @t215)) % 0.62/0.83 (define @t217 () (not (tptp.segmentP @t215 @t2))) % 0.62/0.83 (define @t218 () (not (tptp.segmentP @t2 @t215))) % 0.62/0.83 (define @t219 () (not (tptp.ssList @t215))) % 0.62/0.83 (define @t220 () (or @t106 @t219 @t218 @t217 @t216)) % 0.62/0.83 (define @t221 () (or @t219 @t218 @t217 @t216)) % 0.62/0.83 (define @t222 () (or @t106 @t221)) % 0.62/0.83 (define @t223 () (@list @t2 @t215)) % 0.62/0.83 (define @t224 () (forall @t223 @t222)) % 0.62/0.83 (define @t225 () (@list @t215)) % 0.62/0.83 (define @t226 () (forall @t225 @t222)) % 0.62/0.83 (define @t227 () (forall @t225 @t221)) % 0.62/0.83 (define @t228 () (or @t106 @t227)) % 0.62/0.83 (define @t229 () (not @t30)) % 0.62/0.83 (define @t230 () (or @t120 @t229 @t119 @t3)) % 0.62/0.83 (define @t231 () (forall @t7 @t230)) % 0.62/0.83 (define @t232 () (or @t229 @t119 @t3)) % 0.62/0.83 (define @t233 () (not @t213)) % 0.62/0.83 (define @t234 () (or @t161 @t163 @t157 @t233 (= @t151 @t150))) % 0.62/0.83 (define @t235 () (forall @t223 @t220)) % 0.62/0.83 (define @t236 () (= @t150 @t151)) % 0.62/0.83 (define @t237 () (or @t161 @t163 @t157 @t233 @t236)) % 0.62/0.83 (define @t238 () (not @t236)) % 0.62/0.83 (define @t239 () (not @t82)) % 0.62/0.83 (define @t240 () (not @t167)) % 0.62/0.83 (define @t241 () (= false true)) % 0.62/0.83 (define @t242 () (and @t82 @t207 @t236 @t167)) % 0.62/0.83 (define @t243 () (not @t209)) % 0.62/0.83 (define @t244 () (not @t153)) % 0.62/0.83 (define @t245 () (@quantifiers_skolemize @t183 0)) % 0.62/0.83 (define @t246 () (tptp.cons @t245 tptp.nil)) % 0.62/0.83 (define @t247 () (= @t150 @t246)) % 0.62/0.83 (define @t248 () (not @t247)) % 0.62/0.83 (define @t249 () (tptp.ssItem @t245)) % 0.62/0.83 (define @t250 () (not @t249)) % 0.62/0.83 (define @t251 () (or @t250 @t248)) % 0.62/0.83 (define @t252 () (not @t251)) % 0.62/0.83 (define @t253 () (not (= @t246 @t150))) % 0.62/0.83 (define @t254 () (or @t250 @t253)) % 0.62/0.83 (define @t255 () (not @t254)) % 0.62/0.83 (define @t256 () (@list @t251)) % 0.62/0.83 (define @t257 () (tptp.equalelemsP @t246)) % 0.62/0.83 (define @t258 () (or @t250 @t257)) % 0.62/0.83 (define @t259 () (not @t257)) % 0.62/0.83 (define @t260 () (and @t257 @t247 @t167)) % 0.62/0.83 (assume @p1 (forall @t9 (=> @t8 (forall @t7 (=> @t6 @t5))))) % 0.62/0.83 (assume @p2 (exists @t9 (and @t8 (exists @t7 (and @t6 @t4))))) % 0.62/0.83 (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))))))))))) % 0.62/0.83 (assume @p4 @t24) % 0.62/0.83 (assume @p5 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t26 (exists @t16 (and @t15 (= @t25 @t2))))))))) % 0.62/0.83 (assume @p6 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t29 (exists @t16 (and @t15 (= @t28 @t2))))))))) % 0.62/0.83 (assume @p7 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= @t30 (exists @t16 (and @t15 (exists @t14 (and @t13 (= (tptp.app @t28 @t10) @t2))))))))))) % 0.62/0.83 (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))))))))))))))))) % 0.62/0.83 (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)))))))))))))))) % 0.62/0.83 (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))))))))))))))))) % 0.62/0.83 (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))))))))))))))) % 0.62/0.83 (assume @p12 (forall @t9 (=> @t17 (= (tptp.strictorderedP @t2) (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (forall @t37 (=> @t36 (=> @t35 @t41))))))))))))))) % 0.62/0.83 (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 @t42)))))))))))))))) % 0.62/0.83 (assume @p14 (forall @t9 (=> @t17 (= @t43 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (forall @t14 (=> @t13 (forall @t39 (=> @t38 (=> (= (tptp.app @t10 (tptp.cons @t1 (tptp.cons @t12 @t34))) @t2) @t42))))))))))))) % 0.62/0.83 (assume @p15 @t46) % 0.62/0.83 (assume @p16 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (tptp.ssList @t47)))))) % 0.62/0.83 (assume @p17 @t48) % 0.62/0.83 (assume @p18 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= @t47 @t2))))))) % 0.62/0.83 (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))))))))))) % 0.62/0.83 (assume @p20 (forall @t9 (=> @t17 (or @t51 (exists @t7 (and @t27 (exists @t16 (and @t40 (= @t50 @t2))))))))) % 0.62/0.83 (assume @p21 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (not (= tptp.nil @t47))))))) % 0.62/0.83 (assume @p22 (forall @t9 (=> @t17 (=> @t53 (tptp.ssItem @t52))))) % 0.62/0.83 (assume @p23 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.hd @t47) @t1)))))) % 0.62/0.83 (assume @p24 (forall @t9 (=> @t17 (=> @t53 (tptp.ssList @t54))))) % 0.62/0.83 (assume @p25 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= (tptp.tl @t47) @t2)))))) % 0.62/0.83 (assume @p26 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (tptp.ssList @t55)))))) % 0.62/0.83 (assume @p27 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t40 (= (tptp.cons @t12 @t56) (tptp.app @t50 @t2))))))))) % 0.62/0.83 (assume @p28 (forall @t9 (=> @t17 (= (tptp.app tptp.nil @t2) @t2)))) % 0.62/0.83 (assume @p29 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t58 @t57) @t3)))))) % 0.62/0.83 (assume @p30 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t58 @t32) (tptp.leq @t2 @t12))))))))) % 0.62/0.83 (assume @p31 (forall @t9 (=> @t8 (tptp.leq @t2 @t2)))) % 0.62/0.83 (assume @p32 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t59 @t57)))))) % 0.62/0.83 (assume @p33 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t61 (not @t60))))))) % 0.62/0.83 (assume @p34 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t61 @t41) @t62)))))))) % 0.62/0.83 (assume @p35 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t63 @t60)))))) % 0.62/0.83 (assume @p36 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.memberP @t25 @t2) (or (tptp.memberP @t1 @t2) @t64))))))))) % 0.62/0.83 (assume @p37 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t15 (= (tptp.memberP (tptp.cons @t1 @t12) @t2) (or @t3 @t64))))))))) % 0.62/0.83 (assume @p38 (forall @t9 (=> @t8 (not (tptp.memberP tptp.nil @t2))))) % 0.62/0.83 (assume @p39 (not (tptp.singletonP tptp.nil))) % 0.62/0.83 (assume @p40 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t26 (tptp.frontsegP @t1 @t12)) (tptp.frontsegP @t2 @t12))))))))) % 0.62/0.83 (assume @p41 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t26 (tptp.frontsegP @t1 @t2)) @t3)))))) % 0.62/0.83 (assume @p42 (forall @t9 (=> @t17 (tptp.frontsegP @t2 @t2)))) % 0.62/0.83 (assume @p43 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t26 (tptp.frontsegP (tptp.app @t2 @t12) @t1))))))))) % 0.62/0.83 (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)))))))))))) % 0.62/0.83 (assume @p45 (forall @t9 (=> @t17 (tptp.frontsegP @t2 tptp.nil)))) % 0.62/0.83 (assume @p46 (forall @t9 (=> @t17 (= (tptp.frontsegP tptp.nil @t2) @t51)))) % 0.62/0.83 (assume @p47 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t29 (tptp.rearsegP @t1 @t12)) (tptp.rearsegP @t2 @t12))))))))) % 0.62/0.83 (assume @p48 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t29 (tptp.rearsegP @t1 @t2)) @t3)))))) % 0.62/0.83 (assume @p49 (forall @t9 (=> @t17 (tptp.rearsegP @t2 @t2)))) % 0.62/0.83 (assume @p50 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> @t29 (tptp.rearsegP @t65 @t1))))))))) % 0.62/0.83 (assume @p51 (forall @t9 (=> @t17 (tptp.rearsegP @t2 tptp.nil)))) % 0.62/0.83 (assume @p52 (forall @t9 (=> @t17 (= (tptp.rearsegP tptp.nil @t2) @t51)))) % 0.62/0.83 (assume @p53 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (and @t30 @t66) (tptp.segmentP @t2 @t12))))))))) % 0.62/0.83 (assume @p54 @t72) % 0.62/0.83 (assume @p55 (forall @t9 (=> @t17 (tptp.segmentP @t2 @t2)))) % 0.62/0.83 (assume @p56 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (forall @t14 (=> @t13 (=> @t30 (tptp.segmentP (tptp.app @t65 @t10) @t1))))))))))) % 0.62/0.83 (assume @p57 @t74) % 0.62/0.83 (assume @p58 (forall @t9 (=> @t17 (= (tptp.segmentP tptp.nil @t2) @t51)))) % 0.62/0.83 (assume @p59 (forall @t9 (=> @t8 (tptp.cyclefreeP @t75)))) % 0.62/0.83 (assume @p60 (tptp.cyclefreeP tptp.nil)) % 0.62/0.83 (assume @p61 (forall @t9 (=> @t8 (tptp.totalorderP @t75)))) % 0.62/0.83 (assume @p62 (tptp.totalorderP tptp.nil)) % 0.62/0.83 (assume @p63 (forall @t9 (=> @t8 (tptp.strictorderP @t75)))) % 0.62/0.83 (assume @p64 (tptp.strictorderP tptp.nil)) % 0.62/0.83 (assume @p65 (forall @t9 (=> @t8 (tptp.totalorderedP @t75)))) % 0.62/0.83 (assume @p66 (tptp.totalorderedP tptp.nil)) % 0.62/0.83 (assume @p67 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.totalorderedP @t79) (or @t77 (and @t78 (tptp.totalorderedP @t1) (tptp.leq @t2 @t76))))))))) % 0.62/0.83 (assume @p68 (forall @t9 (=> @t8 (tptp.strictorderedP @t75)))) % 0.62/0.83 (assume @p69 (tptp.strictorderedP tptp.nil)) % 0.62/0.83 (assume @p70 (forall @t9 (=> @t8 (forall @t7 (=> @t27 (= (tptp.strictorderedP @t79) (or @t77 (and @t78 (tptp.strictorderedP @t1) (tptp.lt @t2 @t76))))))))) % 0.62/0.83 (assume @p71 (forall @t9 (=> @t8 (tptp.duplicatefreeP @t75)))) % 0.62/0.83 (assume @p72 (tptp.duplicatefreeP tptp.nil)) % 0.62/0.83 (assume @p73 @t81) % 0.62/0.83 (assume @p74 @t82) % 0.62/0.83 (assume @p75 (forall @t9 (=> @t17 (=> @t53 (exists @t7 (and @t6 (= @t52 @t1))))))) % 0.62/0.83 (assume @p76 (forall @t9 (=> @t17 (=> @t53 (exists @t7 (and @t27 (= @t54 @t1))))))) % 0.62/0.83 (assume @p77 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> (and @t78 @t53 (= @t76 @t52) (= (tptp.tl @t1) @t54)) @t49)))))) % 0.62/0.83 (assume @p78 (forall @t9 (=> @t17 (=> @t53 (= (tptp.cons @t52 @t54) @t2))))) % 0.62/0.83 (assume @p79 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t28 @t55) @t83)))))))) % 0.62/0.83 (assume @p80 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (=> (= @t25 @t56) @t83)))))))) % 0.62/0.83 (assume @p81 (forall @t9 (=> @t17 (forall @t7 (=> @t6 (= @t47 (tptp.app @t18 @t2))))))) % 0.62/0.83 (assume @p82 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (forall @t16 (=> @t15 (= (tptp.app @t55 @t12) (tptp.app @t2 @t25))))))))) % 0.62/0.83 (assume @p83 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (= (= tptp.nil @t55) (and @t77 @t51))))))) % 0.62/0.83 (assume @p84 (forall @t9 (=> @t17 (= (tptp.app @t2 tptp.nil) @t2)))) % 0.62/0.83 (assume @p85 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t53 (= (tptp.hd @t55) @t52))))))) % 0.62/0.83 (assume @p86 (forall @t9 (=> @t17 (forall @t7 (=> @t27 (=> @t53 (= (tptp.tl @t55) (tptp.app @t54 @t1)))))))) % 0.62/0.83 (assume @p87 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> (and @t59 (tptp.geq @t1 @t2)) @t3)))))) % 0.62/0.83 (assume @p88 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t59 (tptp.geq @t1 @t12)) (tptp.geq @t2 @t12))))))))) % 0.62/0.83 (assume @p89 (forall @t9 (=> @t8 (tptp.geq @t2 @t2)))) % 0.62/0.83 (assume @p90 (forall @t9 (=> @t8 (not (tptp.lt @t2 @t2))))) % 0.62/0.83 (assume @p91 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t58 @t41) @t62)))))))) % 0.62/0.83 (assume @p92 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t58 (or @t3 @t61))))))) % 0.62/0.83 (assume @p93 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (= @t61 (and @t4 @t58))))))) % 0.62/0.83 (assume @p94 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (=> @t63 (not (tptp.gt @t1 @t2)))))))) % 0.62/0.83 (assume @p95 (forall @t9 (=> @t8 (forall @t7 (=> @t6 (forall @t16 (=> @t40 (=> (and @t63 (tptp.gt @t1 @t12)) (tptp.gt @t2 @t12))))))))) % 0.62/0.83 (assume @p96 @t98) % 0.62/0.83 (assume @p97 true) % 0.62/0.83 (step @p98 :rule aci_norm :args ((= @t109 @t107))) % 0.62/0.83 (step @p99 :rule cong :premises (@p98) :args (@t111)) % 0.62/0.83 (step @p100 :rule quant-merge-prenex :args ((= (forall @t9 @t113) @t111))) % 0.62/0.83 (step @p101 :rule alpha_equiv :args (@t114 (@list @t99) @t115)) % 0.62/0.83 (step @p102 :rule refl :args (@t106)) % 0.62/0.83 (step @p103 :rule nary_cong :premises (@p102 @p101) :args (@t116)) % 0.62/0.83 (step @p104 :rule quant-miniscope-or :args ((= @t113 @t116))) % 0.62/0.83 (step @p105 :rule trans :premises (@p104 @p103)) % 0.62/0.83 (step @p106 :rule symm :premises (@p105)) % 0.62/0.83 (step @p107 :rule cong :premises (@p106) :args ((forall @t9 @t122))) % 0.62/0.83 (step @p108 :rule trans :premises (@p107 @p100)) % 0.62/0.83 (step @p109 :rule trans :premises (@p108 @p99)) % 0.62/0.83 (step @p110 :rule aci_norm :args ((= (or @t106 @t122) @t122))) % 0.62/0.83 (step @p111 :rule bool-impl-elim :args (@t17 @t122)) % 0.62/0.83 (step @p112 :rule trans :premises (@p111 @p110)) % 0.62/0.83 (step @p113 :rule cong :premises (@p112) :args ((forall @t9 (=> @t17 @t122)))) % 0.62/0.83 (step @p114 :rule trans :premises (@p113 @p109)) % 0.62/0.83 (step @p115 :rule quant-miniscope-or :args ((= (forall @t7 @t123) @t122))) % 0.62/0.83 (step @p116 :rule aci_norm :args ((= @t124 @t123))) % 0.62/0.83 (step @p117 :rule cong :premises (@p116) :args ((forall @t7 @t124))) % 0.62/0.83 (step @p118 :rule trans :premises (@p117 @p115)) % 0.62/0.83 (step @p119 :rule aci_norm :args ((= (or @t120 @t125) @t124))) % 0.62/0.83 (step @p120 :rule bool-impl-elim :args (@t27 @t125)) % 0.62/0.83 (step @p121 :rule trans :premises (@p120 @p119)) % 0.62/0.83 (step @p122 :rule cong :premises (@p121) :args ((forall @t7 (=> @t27 @t125)))) % 0.62/0.83 (step @p123 :rule trans :premises (@p122 @p118)) % 0.62/0.83 (step @p124 :rule aci_norm :args ((= (or @t84 @t120 @t126) @t125))) % 0.62/0.83 (step @p125 :rule aci_norm :args ((= (or @t106 false @t119 @t118) @t126))) % 0.62/0.83 (step @p126 :rule refl :args (@t118)) % 0.62/0.83 (step @p127 :rule refl :args (@t119)) % 0.62/0.83 (step @p128 :rule evaluate :args ((not true))) % 0.62/0.83 (step @p129 :rule eq-refl :args (@t2)) % 0.62/0.83 (step @p130 :rule cong :premises (@p129) :args (@t127)) % 0.62/0.83 (step @p131 :rule trans :premises (@p130 @p128)) % 0.62/0.83 (step @p132 :rule refl :args (@t106)) % 0.62/0.83 (step @p133 :rule nary_cong :premises (@p132 @p131 @p127 @p126) :args (@t128)) % 0.62/0.83 (step @p134 :rule trans :premises (@p133 @p125)) % 0.62/0.83 (step @p135 :rule quant-var-elim-eq :args ((= (forall @t16 (or (not @t83) @t131 @t88 @t130 @t129)) @t128))) % 0.62/0.83 (step @p136 :rule refl :args (@t129)) % 0.62/0.83 (step @p137 :rule refl :args (@t130)) % 0.62/0.83 (step @p138 :rule refl :args (@t88)) % 0.62/0.83 (step @p139 :rule refl :args (@t131)) % 0.62/0.83 (step @p140 :rule eq-symm :args (@t2 @t12)) % 0.62/0.83 (step @p141 :rule cong :premises (@p140) :args (@t88)) % 0.62/0.83 (step @p142 :rule nary_cong :premises (@p141 @p139 @p138 @p137 @p136) :args (@t132)) % 0.62/0.83 (step @p143 :rule aci_norm :args ((= @t133 @t132))) % 0.62/0.83 (step @p144 :rule trans :premises (@p143 @p142)) % 0.62/0.83 (step @p145 :rule cong :premises (@p144) :args (@t134)) % 0.62/0.83 (step @p146 :rule trans :premises (@p145 @p135)) % 0.62/0.83 (step @p147 :rule trans :premises (@p146 @p134)) % 0.62/0.83 (step @p148 :rule refl :args (@t120)) % 0.62/0.83 (step @p149 :rule refl :args (@t84)) % 0.62/0.83 (step @p150 :rule nary_cong :premises (@p149 @p148 @p147) :args (@t135)) % 0.62/0.83 (step @p151 :rule trans :premises (@p150 @p124)) % 0.62/0.83 (step @p152 :rule quant-miniscope-or :args ((= (forall @t16 @t136) @t135))) % 0.62/0.83 (step @p153 :rule aci_norm :args ((= @t137 @t136))) % 0.62/0.83 (step @p154 :rule cong :premises (@p153) :args ((forall @t16 @t137))) % 0.62/0.83 (step @p155 :rule trans :premises (@p154 @p152)) % 0.62/0.83 (step @p156 :rule trans :premises (@p155 @p151)) % 0.62/0.83 (step @p157 :rule aci_norm :args ((= (or @t131 @t138) @t137))) % 0.62/0.83 (step @p158 :rule bool-impl-elim :args 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@t236 (not @t237)))) % 0.62/0.83 (step @p390 :rule refl :args (@t238)) % 0.62/0.83 (step @p391 :rule refl :args (@t208)) % 0.62/0.83 (step @p392 :rule bool-double-not-elim :args (@t158)) % 0.62/0.83 (step @p393 :rule refl :args (@t239)) % 0.62/0.83 (step @p394 :rule nary_cong :premises (@p393 @p392 @p391 @p390) :args ((or @t239 @t240 @t208 @t238))) % 0.62/0.83 (assume-push @p527 @t82) % 0.62/0.83 (assume-push @p528 @t207) % 0.62/0.83 (assume-push @p529 @t236) % 0.62/0.83 (assume-push @p530 @t167) % 0.62/0.83 (step @p399 :rule evaluate :args (@t241)) % 0.62/0.83 (step @p400 :rule true_intro :premises (@p74)) % 0.62/0.83 (step @p401 :rule symm :premises (@p528)) % 0.62/0.83 (step @p402 :rule cong :premises (@p401) :args ((tptp.equalelemsP @t151))) % 0.62/0.83 (step @p403 :rule cong :premises (@p529) :args (@t158)) % 0.62/0.83 (step @p404 :rule false_intro :premises (@p222)) % 0.62/0.83 (step @p405 :rule symm :premises (@p404)) % 0.62/0.83 (step @p406 :rule trans :premises (@p405 @p403 @p402 @p400)) % 0.62/0.83 (step @p407 false :rule eq_resolve :premises (@p406 @p399)) % 0.62/0.83 (step-pop @p531 :rule scope :premises (@p407)) % 0.62/0.83 (step-pop @p532 :rule scope :premises (@p531)) % 0.62/0.83 (step-pop @p533 :rule scope :premises (@p532)) % 0.62/0.83 (step-pop @p534 :rule scope :premises (@p533)) % 0.62/0.83 (step @p408 :rule process_scope :premises (@p534) :args (false)) % 0.62/0.83 (assume-push @p535 @t82) % 0.62/0.83 (assume-push @p536 @t167) % 0.62/0.83 (assume-push @p537 @t207) % 0.62/0.83 (assume-push @p538 @t236) % 0.62/0.83 (step @p417 :rule and_intro :premises (@p74 @p537 @p538 @p222)) % 0.62/0.83 (step-pop @p539 :rule scope :premises (@p417)) % 0.62/0.83 (step-pop @p540 :rule scope :premises (@p539)) % 0.62/0.83 (step-pop @p541 :rule scope :premises (@p540)) % 0.62/0.83 (step-pop @p542 :rule scope :premises (@p541)) % 0.62/0.83 (step @p418 :rule process_scope :premises (@p542) :args (@t242)) % 0.62/0.83 (step @p423 :rule implies_elim :premises (@p418)) % 0.62/0.83 (step @p424 :rule resolution :premises (@p423 @p408) :args (true @t242)) % 0.62/0.83 (step @p425 :rule not_and :premises (@p424)) % 0.62/0.83 (step @p426 :rule eq_resolve :premises (@p425 @p394)) % 0.62/0.83 (step @p427 :rule chain_m_resolution :premises (@p426 @p222 @p74 @p389 @p387 @p218 @p310 @p265 @p342 @p320) :args (@t208 (@list true false false false false false false false false) (@list @t158 @t82 @t236 @t237 @t152 @t160 @t162 @t213 @t211))) % 0.62/0.83 (step @p428 :rule bool-double-not-elim :args (@t207)) % 0.62/0.83 (step @p429 :rule refl :args (@t243)) % 0.62/0.83 (step @p430 :rule nary_cong :premises (@p429 @p291 @p428) :args ((or @t243 @t153 (not @t208)))) % 0.62/0.83 (step @p431 :rule cnf_equiv_pos2 :args (@t209)) % 0.62/0.83 (step @p432 :rule eq_resolve :premises (@p431 @p430)) % 0.62/0.83 (step @p433 :rule reordering :premises (@p432) :args ((or @t153 @t207 @t243))) % 0.62/0.83 (step @p434 :rule chain_m_resolution :premises (@p433 @p427 @p313) :args (@t153 @t168 (@list @t207 @t209))) % 0.62/0.83 (step @p435 :rule cnf_or_neg :args (@t164 4)) % 0.62/0.83 (step @p436 :rule chain_m_resolution :premises (@p435 @p211) :args ((not @t156) @t165 @t166)) % 0.62/0.83 (step @p437 :rule refl :args (@t244)) % 0.62/0.83 (step @p438 :rule bool-double-not-elim :args (@t154)) % 0.62/0.83 (step @p439 :rule refl :args (@t156)) % 0.62/0.83 (step @p440 :rule nary_cong :premises (@p439 @p438 @p437) :args ((or @t156 (not @t155) @t244))) % 0.62/0.83 (step @p441 :rule cnf_and_neg :args (@t156)) % 0.62/0.83 (step @p442 :rule eq_resolve :premises (@p441 @p440)) % 0.62/0.83 (step @p443 :rule reordering :premises (@p442) :args ((or @t154 @t156 @t244))) % 0.62/0.83 (step @p444 :rule chain_m_resolution :premises (@p443 @p436 @p434) :args (@t154 @t168 (@list @t156 @t153))) % 0.62/0.83 (step @p445 :rule cnf_equiv_pos1 :args (@t185)) % 0.62/0.83 (step @p446 :rule reordering :premises (@p445) :args ((or @t155 @t184 (not @t185)))) % 0.62/0.83 (step @p447 :rule chain_m_resolution :premises (@p446 @p444 @p268) :args (@t184 @t188 (@list @t154 @t185))) % 0.62/0.83 (step @p448 :rule refl :args (@t252)) % 0.62/0.83 (step @p449 :rule bool-double-not-elim :args (@t183)) % 0.62/0.83 (step @p450 :rule nary_cong :premises (@p449 @p448) :args ((or (not @t184) @t252))) % 0.62/0.83 (step @p451 :rule eq-symm :args (@t246 @t150)) % 0.62/0.83 (step @p452 :rule cong :premises (@p451) :args (@t253)) % 0.62/0.83 (step @p453 :rule refl :args (@t250)) % 0.62/0.83 (step @p454 :rule nary_cong :premises (@p453 @p452) :args (@t254)) % 0.62/0.83 (step @p455 :rule cong :premises (@p454) :args (@t255)) % 0.62/0.83 (step @p456 :rule refl :args (@t184)) % 0.62/0.83 (step @p457 :rule cong :premises (@p456 @p455) :args ((=> @t184 @t255))) % 0.62/0.83 (assume-push @p543 @t184) % 0.62/0.83 (step @p459 :rule skolemize :premises (@p543)) % 0.62/0.83 (step-pop @p544 :rule scope :premises (@p459)) % 0.62/0.83 (step @p460 :rule process_scope :premises (@p544) :args (@t255)) % 0.62/0.83 (step @p462 :rule eq_resolve :premises (@p460 @p457)) % 0.62/0.83 (step @p463 :rule implies_elim :premises (@p462)) % 0.62/0.83 (step @p464 :rule eq_resolve :premises (@p463 @p450)) % 0.62/0.83 (step @p465 :rule chain_m_resolution :premises (@p464 @p447) :args (@t252 @t165 (@list @t183))) % 0.62/0.83 (step @p466 :rule bool-double-not-elim :args (@t247)) % 0.62/0.83 (step @p467 :rule refl :args (@t251)) % 0.62/0.83 (step @p468 :rule nary_cong :premises (@p467 @p466) :args ((or @t251 (not @t248)))) % 0.62/0.83 (step @p469 :rule cnf_or_neg :args (@t251 1)) % 0.62/0.83 (step @p470 :rule eq_resolve :premises (@p469 @p468)) % 0.62/0.83 (step @p471 :rule reordering :premises (@p470) :args ((or @t247 @t251))) % 0.62/0.83 (step @p472 :rule chain_m_resolution :premises (@p471 @p465) :args (@t247 @t165 @t256)) % 0.62/0.83 (step @p473 :rule bool-impl-elim :args (@t8 @t80)) % 0.62/0.83 (step @p474 :rule cong :premises (@p473) :args (@t81)) % 0.62/0.83 (step @p475 :rule eq_resolve :premises (@p73 @p474)) % 0.62/0.83 (step @p476 :rule instantiate :premises (@p475) :args ((@list @t245))) % 0.62/0.83 (step @p477 :rule bool-double-not-elim :args (@t249)) % 0.62/0.83 (step @p478 :rule nary_cong :premises (@p467 @p477) :args ((or @t251 (not @t250)))) % 0.62/0.83 (step @p479 :rule cnf_or_neg :args (@t251 0)) % 0.62/0.83 (step @p480 :rule eq_resolve :premises (@p479 @p478)) % 0.62/0.83 (step @p481 :rule reordering :premises (@p480) :args ((or @t249 @t251))) % 0.62/0.83 (step @p482 :rule chain_m_resolution :premises (@p481 @p465) :args (@t249 @t165 @t256)) % 0.62/0.83 (step @p483 :rule cnf_or_pos :args (@t258)) % 0.62/0.83 (step @p484 :rule reordering :premises (@p483) :args ((or @t250 @t257 (not @t258)))) % 0.62/0.83 (step @p485 :rule chain_m_resolution :premises (@p484 @p482 @p476) :args (@t257 @t188 (@list @t249 @t258))) % 0.62/0.83 (step @p486 :rule refl :args (@t259)) % 0.62/0.83 (step @p487 :rule refl :args (@t248)) % 0.62/0.83 (step @p488 :rule nary_cong :premises (@p392 @p487 @p486) :args ((or @t240 @t248 @t259))) % 0.62/0.83 (assume-push @p545 @t257) % 0.62/0.83 (assume-push @p546 @t247) % 0.62/0.83 (assume-push @p547 @t167) % 0.62/0.83 (step @p399 :rule evaluate :args (@t241)) % 0.62/0.83 (step @p492 :rule true_intro :premises (@p545)) % 0.62/0.83 (step @p493 :rule cong :premises (@p546) :args (@t158)) % 0.62/0.83 (step @p404 :rule false_intro :premises (@p222)) % 0.62/0.83 (step @p405 :rule symm :premises (@p404)) % 0.62/0.83 (step @p494 :rule trans :premises (@p405 @p493 @p492)) % 0.62/0.83 (step @p495 false :rule eq_resolve :premises (@p494 @p399)) % 0.62/0.83 (step-pop @p548 :rule scope :premises (@p495)) % 0.62/0.83 (step-pop @p549 :rule scope :premises (@p548)) % 0.62/0.83 (step-pop @p550 :rule scope :premises (@p549)) % 0.62/0.83 (step @p496 :rule process_scope :premises (@p550) :args (false)) % 0.62/0.83 (assume-push @p551 @t167) % 0.62/0.83 (assume-push @p552 @t247) % 0.62/0.83 (assume-push @p553 @t257) % 0.62/0.83 (step @p503 :rule and_intro :premises (@p553 @p552 @p222)) % 0.62/0.83 (step-pop @p554 :rule scope :premises (@p503)) % 0.62/0.83 (step-pop @p555 :rule scope :premises (@p554)) % 0.62/0.83 (step-pop @p556 :rule scope :premises (@p555)) % 0.62/0.83 (step @p504 :rule process_scope :premises (@p556) :args (@t260)) % 0.62/0.83 (step @p508 :rule implies_elim :premises (@p504)) % 0.62/0.83 (step @p509 :rule resolution :premises (@p508 @p496) :args (true @t260)) % 0.62/0.83 (step @p510 :rule not_and :premises (@p509)) % 0.62/0.83 (step @p511 :rule eq_resolve :premises (@p510 @p488)) % 0.62/0.83 (step @p512 false :rule chain_m_resolution :premises (@p511 @p485 @p472 @p222) :args (false (@list false false true) (@list @t257 @t247 @t158))) % 0.62/0.83 ) % 0.62/0.83 % SZS output end Proof % 0.62/0.83 % cvc5 exiting %------------------------------------------------------------------------------