%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV425_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n017.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 08:55:56 AM UTC 2026 % Result : Theorem 47.54s 47.70s % Output : Proof 47.54s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV425_1 : TPTP v9.2.1. Released v5.0.0. % 0.00/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n017.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 18:31:01 EDT 2026 % 0.18/0.34 % CPUTime : % 0.30/0.49 %----Proving TF0_ARI % 47.54/47.70 --- Run --finite-model-find --decision=internal at 45... % 47.54/47.70 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 47.54/47.70 % SZS status Theorem % 47.54/47.70 % SZS output start Proof % 47.54/47.70 ( % 47.54/47.70 (declare-sort tptp.element 0) % 47.54/47.70 (declare-sort tptp.set 0) % 47.54/47.70 (declare-const tptp.cardinality (-> tptp.set Int)) % 47.54/47.70 (declare-const tptp.complement (-> tptp.set tptp.set)) % 47.54/47.70 (declare-const tptp.difference (-> tptp.set tptp.set tptp.set)) % 47.54/47.70 (declare-const tptp.union (-> tptp.set tptp.set tptp.set)) % 47.54/47.70 (declare-const tptp.intersection (-> tptp.set tptp.set tptp.set)) % 47.54/47.70 (declare-const tptp.subset (-> tptp.set tptp.set Bool)) % 47.54/47.70 (declare-const tptp.singleton (-> tptp.element tptp.set)) % 47.54/47.70 (declare-const tptp.member (-> tptp.element tptp.set Bool)) % 47.54/47.70 (declare-const tptp.empty_set tptp.set) % 47.54/47.70 (define @t1 () (@var "S" tptp.set)) % 47.54/47.70 (define @t2 () (= @t1 tptp.empty_set)) % 47.54/47.70 (define @t3 () (@var "X" tptp.element)) % 47.54/47.70 (define @t4 () (tptp.member @t3 @t1)) % 47.54/47.70 (define @t5 () (@list @t3)) % 47.54/47.70 (define @t6 () (forall @t5 (not @t4))) % 47.54/47.70 (define @t7 () (= @t6 @t2)) % 47.54/47.70 (define @t8 () (@list @t1)) % 47.54/47.70 (define @t9 () (forall @t8 @t7)) % 47.54/47.70 (define @t10 () (@var "A" tptp.element)) % 47.54/47.70 (define @t11 () (forall (@list @t3 @t10) (= (tptp.member @t3 (tptp.singleton @t10)) (= @t3 @t10)))) % 47.54/47.70 (define @t12 () (@var "B" tptp.set)) % 47.54/47.70 (define @t13 () (tptp.member @t3 @t12)) % 47.54/47.70 (define @t14 () (@var "A" tptp.set)) % 47.54/47.70 (define @t15 () (tptp.member @t3 @t14)) % 47.54/47.70 (define @t16 () (forall @t5 (=> @t15 @t13))) % 47.54/47.70 (define @t17 () (tptp.subset @t14 @t12)) % 47.54/47.70 (define @t18 () (= @t17 @t16)) % 47.54/47.70 (define @t19 () (@list @t14 @t12)) % 47.54/47.70 (define @t20 () (forall @t19 @t18)) % 47.54/47.70 (define @t21 () (tptp.intersection @t14 @t12)) % 47.54/47.70 (define @t22 () (@list @t3 @t14 @t12)) % 47.54/47.70 (define @t23 () (tptp.union @t14 @t12)) % 47.54/47.70 (define @t24 () (@var "B" tptp.element)) % 47.54/47.70 (define @t25 () (@var "E" tptp.set)) % 47.54/47.70 (define @t26 () (@list @t3 @t1)) % 47.54/47.70 (define @t27 () (tptp.cardinality @t1)) % 47.54/47.70 (define @t28 () (tptp.singleton @t3)) % 47.54/47.70 (define @t29 () (tptp.cardinality (tptp.union @t28 @t1))) % 47.54/47.70 (define @t30 () (tptp.intersection @t28 @t1)) % 47.54/47.70 (define @t31 () (+ @t27 1)) % 47.54/47.70 (define @t32 () (= @t29 @t31)) % 47.54/47.70 (define @t33 () (= (= @t30 tptp.empty_set) @t32)) % 47.54/47.70 (define @t34 () (forall @t26 @t33)) % 47.54/47.70 (define @t35 () (@var "T" tptp.set)) % 47.54/47.70 (define @t36 () (tptp.intersection @t1 @t35)) % 47.54/47.70 (define @t37 () (= (tptp.cardinality @t23) (+ (tptp.cardinality @t14) (tptp.cardinality @t12)))) % 47.54/47.70 (define @t38 () (= (= @t21 tptp.empty_set) @t37)) % 47.54/47.70 (define @t39 () (forall @t19 @t38)) % 47.54/47.70 (define @t40 () (@var "C" tptp.set)) % 47.54/47.70 (define @t41 () (tptp.cardinality @t40)) % 47.54/47.70 (define @t42 () (+ @t41 3)) % 47.54/47.70 (define @t43 () (@var "X3" tptp.element)) % 47.54/47.70 (define @t44 () (@var "X2" tptp.element)) % 47.54/47.70 (define @t45 () (tptp.singleton @t44)) % 47.54/47.70 (define @t46 () (@var "X1" tptp.element)) % 47.54/47.70 (define @t47 () (tptp.singleton @t46)) % 47.54/47.70 (define @t48 () (tptp.cardinality (tptp.union (tptp.union (tptp.union @t40 @t47) @t45) (tptp.singleton @t43)))) % 47.54/47.70 (define @t49 () (= @t48 @t42)) % 47.54/47.70 (define @t50 () (@var "A2" tptp.set)) % 47.54/47.70 (define @t51 () (tptp.member @t43 @t50)) % 47.54/47.70 (define @t52 () (not @t51)) % 47.54/47.70 (define @t53 () (@var "A1" tptp.set)) % 47.54/47.70 (define @t54 () (tptp.subset (tptp.union @t53 @t45) @t50)) % 47.54/47.70 (define @t55 () (tptp.member @t44 @t53)) % 47.54/47.70 (define @t56 () (not @t55)) % 47.54/47.70 (define @t57 () (@var "A0" tptp.set)) % 47.54/47.70 (define @t58 () (tptp.subset (tptp.union @t57 @t47) @t53)) % 47.54/47.70 (define @t59 () (tptp.member @t46 @t57)) % 47.54/47.70 (define @t60 () (not @t59)) % 47.54/47.70 (define @t61 () (tptp.subset @t40 @t57)) % 47.54/47.70 (define @t62 () (and @t61 @t60 @t58 @t56 @t54 @t52)) % 47.54/47.70 (define @t63 () (=> @t62 @t49)) % 47.54/47.70 (define @t64 () (@list @t40 @t57 @t53 @t50 @t46 @t44 @t43)) % 47.54/47.70 (define @t65 () (forall @t64 @t63)) % 47.54/47.70 (define @t66 () (not @t65)) % 47.54/47.70 (define @t67 () (+ 3 @t41)) % 47.54/47.70 (define @t68 () (= @t48 @t67)) % 47.54/47.70 (define @t69 () (not @t54)) % 47.54/47.70 (define @t70 () (not @t58)) % 47.54/47.70 (define @t71 () (not @t61)) % 47.54/47.70 (define @t72 () (or @t71 @t59 @t70 @t55 @t69 @t51 @t68)) % 47.54/47.70 (define @t73 () (forall @t64 @t72)) % 47.54/47.70 (define @t74 () (@quantifiers_skolemize @t73 4)) % 47.54/47.70 (define @t75 () (tptp.singleton @t74)) % 47.54/47.70 (define @t76 () (@quantifiers_skolemize @t73 1)) % 47.54/47.70 (define @t77 () (@quantifiers_skolemize @t73 5)) % 47.54/47.70 (define @t78 () (@quantifiers_skolemize @t73 2)) % 47.54/47.70 (define @t79 () (tptp.union @t76 @t75)) % 47.54/47.70 (define @t80 () (not @t52)) % 47.54/47.70 (define @t81 () (not @t56)) % 47.54/47.70 (define @t82 () (not @t60)) % 47.54/47.70 (define @t83 () (or @t71 @t82 @t70 @t81 @t69 @t80)) % 47.54/47.70 (define @t84 () (tptp.subset @t79 @t78)) % 47.54/47.70 (define @t85 () (@quantifiers_skolemize @t73 0)) % 47.54/47.70 (define @t86 () (tptp.cardinality @t85)) % 47.54/47.70 (define @t87 () (+ 3 @t86)) % 47.54/47.70 (define @t88 () (@quantifiers_skolemize @t73 6)) % 47.54/47.70 (define @t89 () (tptp.singleton @t88)) % 47.54/47.70 (define @t90 () (tptp.singleton @t77)) % 47.54/47.70 (define @t91 () (tptp.union @t85 @t75)) % 47.54/47.70 (define @t92 () (tptp.union @t91 @t90)) % 47.54/47.70 (define @t93 () (tptp.cardinality (tptp.union @t92 @t89))) % 47.54/47.70 (define @t94 () (= @t93 @t87)) % 47.54/47.70 (define @t95 () (@quantifiers_skolemize @t73 3)) % 47.54/47.70 (define @t96 () (tptp.member @t88 @t95)) % 47.54/47.70 (define @t97 () (tptp.union @t78 @t90)) % 47.54/47.70 (define @t98 () (tptp.subset @t97 @t95)) % 47.54/47.70 (define @t99 () (not @t98)) % 47.54/47.70 (define @t100 () (tptp.member @t77 @t78)) % 47.54/47.70 (define @t101 () (not @t84)) % 47.54/47.70 (define @t102 () (tptp.member @t74 @t76)) % 47.54/47.70 (define @t103 () (tptp.subset @t85 @t76)) % 47.54/47.70 (define @t104 () (not @t103)) % 47.54/47.70 (define @t105 () (or @t104 @t102 @t101 @t100 @t99 @t96 @t94)) % 47.54/47.70 (define @t106 () (@list true)) % 47.54/47.70 (define @t107 () (@list @t105)) % 47.54/47.70 (define @t108 () (tptp.member @t3 @t78)) % 47.54/47.70 (define @t109 () (forall @t5 (or (not (tptp.member @t3 @t79)) @t108))) % 47.54/47.70 (define @t110 () (= @t84 @t109)) % 47.54/47.70 (define @t111 () (@list false false)) % 47.54/47.70 (define @t112 () (tptp.member @t77 @t79)) % 47.54/47.70 (define @t113 () (not @t112)) % 47.54/47.70 (define @t114 () (or @t113 @t100)) % 47.54/47.70 (define @t115 () (@list true false)) % 47.54/47.70 (define @t116 () (tptp.member @t77 @t75)) % 47.54/47.70 (define @t117 () (tptp.member @t77 @t76)) % 47.54/47.70 (define @t118 () (or @t117 @t116)) % 47.54/47.70 (define @t119 () (= @t112 @t118)) % 47.54/47.70 (define @t120 () (not @t118)) % 47.54/47.70 (define @t121 () (not @t117)) % 47.54/47.70 (define @t122 () (@list @t118)) % 47.54/47.70 (define @t123 () (tptp.intersection @t91 @t90)) % 47.54/47.70 (define @t124 () (forall @t5 (not (tptp.member @t3 @t123)))) % 47.54/47.70 (define @t125 () (@quantifiers_skolemize @t124 0)) % 47.54/47.70 (define @t126 () (tptp.member @t125 @t90)) % 47.54/47.70 (define @t127 () (= @t126 (= @t125 @t77))) % 47.54/47.70 (define @t128 () (= @t77 @t125)) % 47.54/47.70 (define @t129 () (= @t126 @t128)) % 47.54/47.70 (define @t130 () (@list false)) % 47.54/47.70 (define @t131 () (@list @t11)) % 47.54/47.70 (define @t132 () (= tptp.empty_set @t123)) % 47.54/47.70 (define @t133 () (forall @t8 (= @t6 (= tptp.empty_set @t1)))) % 47.54/47.70 (define @t134 () (= @t124 @t132)) % 47.54/47.70 (define @t135 () (= @t132 @t124)) % 47.54/47.70 (define @t136 () (@list @t133)) % 47.54/47.70 (define @t137 () (= tptp.empty_set @t21)) % 47.54/47.70 (define @t138 () (tptp.cardinality @t92)) % 47.54/47.70 (define @t139 () (tptp.cardinality @t90)) % 47.54/47.70 (define @t140 () (+ (* -1 @t139) @t138)) % 47.54/47.70 (define @t141 () (tptp.cardinality @t91)) % 47.54/47.70 (define @t142 () (= @t141 @t140)) % 47.54/47.70 (define @t143 () (- @t141 @t140)) % 47.54/47.70 (define @t144 () (+ @t141 @t139)) % 47.54/47.70 (define @t145 () (= @t138 @t144)) % 47.54/47.70 (define @t146 () (= @t145 @t132)) % 47.54/47.70 (define @t147 () (forall @t19 (= @t37 @t137))) % 47.54/47.70 (define @t148 () (= @t132 @t142)) % 47.54/47.70 (define @t149 () (@list @t147)) % 47.54/47.70 (define @t150 () (tptp.intersection @t92 @t89)) % 47.54/47.70 (define @t151 () (forall @t5 (not (tptp.member @t3 @t150)))) % 47.54/47.70 (define @t152 () (= tptp.empty_set @t150)) % 47.54/47.70 (define @t153 () (= @t151 @t152)) % 47.54/47.70 (define @t154 () (= @t152 @t151)) % 47.54/47.70 (define @t155 () (@quantifiers_skolemize @t151 0)) % 47.54/47.70 (define @t156 () (tptp.member @t155 @t89)) % 47.54/47.70 (define @t157 () (tptp.member @t155 @t92)) % 47.54/47.70 (define @t158 () (and @t157 @t156)) % 47.54/47.70 (define @t159 () (not @t158)) % 47.54/47.70 (define @t160 () (= @t156 (= @t155 @t88))) % 47.54/47.70 (define @t161 () (= @t88 @t155)) % 47.54/47.70 (define @t162 () (= @t156 @t161)) % 47.54/47.70 (define @t163 () (tptp.member @t88 @t92)) % 47.54/47.70 (define @t164 () (not @t161)) % 47.54/47.70 (define @t165 () (not @t157)) % 47.54/47.70 (define @t166 () (not @t163)) % 47.54/47.70 (define @t167 () (= true false)) % 47.54/47.70 (define @t168 () (and @t166 @t161 @t157)) % 47.54/47.70 (define @t169 () (tptp.member @t88 @t90)) % 47.54/47.70 (define @t170 () (tptp.member @t88 @t91)) % 47.54/47.70 (define @t171 () (or @t170 @t169)) % 47.54/47.70 (define @t172 () (= @t163 @t171)) % 47.54/47.70 (define @t173 () (@list @t88)) % 47.54/47.70 (define @t174 () (tptp.member @t3 @t95)) % 47.54/47.70 (define @t175 () (forall @t5 (or (not (tptp.member @t3 @t97)) @t174))) % 47.54/47.70 (define @t176 () (= @t98 @t175)) % 47.54/47.70 (define @t177 () (not @t96)) % 47.54/47.70 (define @t178 () (tptp.member @t88 @t97)) % 47.54/47.70 (define @t179 () (not @t178)) % 47.54/47.70 (define @t180 () (or @t179 @t96)) % 47.54/47.70 (define @t181 () (tptp.member @t88 @t78)) % 47.54/47.70 (define @t182 () (or @t181 @t169)) % 47.54/47.70 (define @t183 () (= @t178 @t182)) % 47.54/47.70 (define @t184 () (not @t182)) % 47.54/47.70 (define @t185 () (@list @t182)) % 47.54/47.70 (define @t186 () (tptp.member @t88 @t79)) % 47.54/47.70 (define @t187 () (not @t186)) % 47.54/47.70 (define @t188 () (or @t187 @t181)) % 47.54/47.70 (define @t189 () (tptp.member @t88 @t75)) % 47.54/47.70 (define @t190 () (or (tptp.member @t88 @t76) @t189)) % 47.54/47.70 (define @t191 () (= @t186 @t190)) % 47.54/47.70 (define @t192 () (not @t190)) % 47.54/47.70 (define @t193 () (not @t189)) % 47.54/47.70 (define @t194 () (tptp.member @t155 @t75)) % 47.54/47.70 (define @t195 () (not @t194)) % 47.54/47.70 (define @t196 () (and @t193 @t161)) % 47.54/47.70 (define @t197 () (tptp.member @t155 @t91)) % 47.54/47.70 (define @t198 () (and @t161 @t170)) % 47.54/47.70 (define @t199 () (tptp.member @t155 @t85)) % 47.54/47.70 (define @t200 () (or @t199 @t194)) % 47.54/47.70 (define @t201 () (= @t197 @t200)) % 47.54/47.70 (define @t202 () (not (tptp.member @t3 @t85))) % 47.54/47.70 (define @t203 () (forall @t5 (or @t202 @t174))) % 47.54/47.70 (define @t204 () (@quantifiers_skolemize @t203 0)) % 47.54/47.70 (define @t205 () (tptp.member @t204 @t85)) % 47.54/47.70 (define @t206 () (tptp.member @t204 @t95)) % 47.54/47.70 (define @t207 () (not @t205)) % 47.54/47.70 (define @t208 () (or @t207 @t206)) % 47.54/47.70 (define @t209 () (forall @t5 (or @t202 @t108))) % 47.54/47.70 (define @t210 () (@quantifiers_skolemize @t209 0)) % 47.54/47.70 (define @t211 () (tptp.member @t210 @t85)) % 47.54/47.70 (define @t212 () (tptp.member @t210 @t78)) % 47.54/47.70 (define @t213 () (not @t211)) % 47.54/47.70 (define @t214 () (or @t213 @t212)) % 47.54/47.70 (define @t215 () (forall @t5 (or @t202 (tptp.member @t3 @t76)))) % 47.54/47.70 (define @t216 () (= @t103 @t215)) % 47.54/47.70 (define @t217 () (@list @t210)) % 47.54/47.70 (define @t218 () (tptp.member @t210 @t76)) % 47.54/47.70 (define @t219 () (or @t213 @t218)) % 47.54/47.70 (define @t220 () (tptp.member @t210 @t79)) % 47.54/47.70 (define @t221 () (not @t220)) % 47.54/47.70 (define @t222 () (or @t221 @t212)) % 47.54/47.70 (define @t223 () (or @t218 (tptp.member @t210 @t75))) % 47.54/47.70 (define @t224 () (= @t220 @t223)) % 47.54/47.70 (define @t225 () (@list false false true false false false true false)) % 47.54/47.70 (define @t226 () (not @t214)) % 47.54/47.70 (define @t227 () (not @t209)) % 47.54/47.70 (define @t228 () (@list @t204)) % 47.54/47.70 (define @t229 () (tptp.member @t204 @t78)) % 47.54/47.70 (define @t230 () (or @t207 @t229)) % 47.54/47.70 (define @t231 () (tptp.member @t204 @t97)) % 47.54/47.70 (define @t232 () (not @t231)) % 47.54/47.70 (define @t233 () (or @t232 @t206)) % 47.54/47.70 (define @t234 () (or @t229 (tptp.member @t204 @t90))) % 47.54/47.70 (define @t235 () (= @t231 @t234)) % 47.54/47.70 (define @t236 () (not @t208)) % 47.54/47.70 (define @t237 () (not @t203)) % 47.54/47.70 (define @t238 () (tptp.member @t155 @t95)) % 47.54/47.70 (define @t239 () (not @t199)) % 47.54/47.70 (define @t240 () (or @t239 @t238)) % 47.54/47.70 (define @t241 () (not @t238)) % 47.54/47.70 (define @t242 () (and @t177 @t161)) % 47.54/47.70 (define @t243 () (tptp.member @t155 @t150)) % 47.54/47.70 (define @t244 () (= @t243 @t158)) % 47.54/47.70 (define @t245 () (not @t243)) % 47.54/47.70 (define @t246 () (not @t151)) % 47.54/47.70 (define @t247 () (not @t245)) % 47.54/47.70 (define @t248 () (tptp.cardinality @t89)) % 47.54/47.70 (define @t249 () (+ @t138 @t248)) % 47.54/47.70 (define @t250 () (= @t93 @t249)) % 47.54/47.70 (define @t251 () (= @t250 @t152)) % 47.54/47.70 (define @t252 () (tptp.cardinality @t75)) % 47.54/47.70 (define @t253 () (+ @t141 (* -1 @t252))) % 47.54/47.70 (define @t254 () (= @t86 @t253)) % 47.54/47.70 (define @t255 () (tptp.intersection @t85 @t75)) % 47.54/47.70 (define @t256 () (= tptp.empty_set @t255)) % 47.54/47.70 (define @t257 () (- @t86 @t253)) % 47.54/47.70 (define @t258 () (+ @t86 @t252)) % 47.54/47.70 (define @t259 () (= @t141 @t258)) % 47.54/47.70 (define @t260 () (= @t259 @t256)) % 47.54/47.70 (define @t261 () (= @t256 @t254)) % 47.54/47.70 (define @t262 () (forall @t5 (not (tptp.member @t3 @t255)))) % 47.54/47.70 (define @t263 () (= @t262 @t256)) % 47.54/47.70 (define @t264 () (= @t256 @t262)) % 47.54/47.70 (define @t265 () (@quantifiers_skolemize @t262 0)) % 47.54/47.70 (define @t266 () (tptp.member @t265 @t75)) % 47.54/47.70 (define @t267 () (tptp.member @t265 @t85)) % 47.54/47.70 (define @t268 () (and @t267 @t266)) % 47.54/47.70 (define @t269 () (not @t268)) % 47.54/47.70 (define @t270 () (= @t266 (= @t265 @t74))) % 47.54/47.70 (define @t271 () (= @t74 @t265)) % 47.54/47.70 (define @t272 () (= @t266 @t271)) % 47.54/47.70 (define @t273 () (tptp.member @t74 @t85)) % 47.54/47.70 (define @t274 () (not @t273)) % 47.54/47.70 (define @t275 () (or @t274 @t102)) % 47.54/47.70 (define @t276 () (not @t271)) % 47.54/47.70 (define @t277 () (not @t267)) % 47.54/47.70 (define @t278 () (and @t274 @t271 @t267)) % 47.54/47.70 (define @t279 () (tptp.member @t265 @t255)) % 47.54/47.70 (define @t280 () (= @t279 @t268)) % 47.54/47.70 (define @t281 () (not @t279)) % 47.54/47.70 (define @t282 () (not @t262)) % 47.54/47.70 (define @t283 () (not @t281)) % 47.54/47.70 (define @t284 () (+ -1 @t29)) % 47.54/47.70 (define @t285 () (+ 1 @t27)) % 47.54/47.70 (define @t286 () (tptp.intersection @t75 tptp.empty_set)) % 47.54/47.70 (define @t287 () (forall @t5 (not (tptp.member @t3 @t286)))) % 47.54/47.70 (define @t288 () (= tptp.empty_set @t286)) % 47.54/47.70 (define @t289 () (= @t287 @t288)) % 47.54/47.70 (define @t290 () (= @t288 @t287)) % 47.54/47.70 (define @t291 () (@quantifiers_skolemize @t287 0)) % 47.54/47.70 (define @t292 () (forall @t5 (not (tptp.member @t3 tptp.empty_set)))) % 47.54/47.70 (define @t293 () (= @t292 (= tptp.empty_set tptp.empty_set))) % 47.54/47.70 (define @t294 () (tptp.member @t291 tptp.empty_set)) % 47.54/47.70 (define @t295 () (and (tptp.member @t291 @t75) @t294)) % 47.54/47.70 (define @t296 () (not @t295)) % 47.54/47.70 (define @t297 () (tptp.member @t291 @t286)) % 47.54/47.70 (define @t298 () (= @t297 @t295)) % 47.54/47.70 (define @t299 () (not @t297)) % 47.54/47.70 (define @t300 () (not @t287)) % 47.54/47.70 (define @t301 () (not @t299)) % 47.54/47.70 (define @t302 () (tptp.cardinality (tptp.union @t75 tptp.empty_set))) % 47.54/47.70 (define @t303 () (+ -1 @t302)) % 47.54/47.70 (define @t304 () (tptp.cardinality tptp.empty_set)) % 47.54/47.70 (define @t305 () (= @t304 @t303)) % 47.54/47.70 (define @t306 () (= @t288 @t305)) % 47.54/47.70 (define @t307 () (not @t288)) % 47.54/47.70 (define @t308 () (* -1 @t304)) % 47.54/47.70 (define @t309 () (+ @t308 @t302)) % 47.54/47.70 (define @t310 () (- @t252 @t309)) % 47.54/47.70 (define @t311 () (+ @t252 @t304)) % 47.54/47.70 (define @t312 () (= @t252 @t309)) % 47.54/47.70 (define @t313 () (= @t302 @t311)) % 47.54/47.70 (define @t314 () (= @t313 @t288)) % 47.54/47.70 (define @t315 () (= @t288 @t312)) % 47.54/47.70 (define @t316 () (tptp.intersection @t90 tptp.empty_set)) % 47.54/47.70 (define @t317 () (forall @t5 (not (tptp.member @t3 @t316)))) % 47.54/47.70 (define @t318 () (= tptp.empty_set @t316)) % 47.54/47.70 (define @t319 () (= @t317 @t318)) % 47.54/47.70 (define @t320 () (= @t318 @t317)) % 47.54/47.70 (define @t321 () (@quantifiers_skolemize @t317 0)) % 47.54/47.70 (define @t322 () (tptp.member @t321 tptp.empty_set)) % 47.54/47.70 (define @t323 () (and (tptp.member @t321 @t90) @t322)) % 47.54/47.70 (define @t324 () (not @t323)) % 47.54/47.70 (define @t325 () (tptp.member @t321 @t316)) % 47.54/47.70 (define @t326 () (= @t325 @t323)) % 47.54/47.70 (define @t327 () (not @t325)) % 47.54/47.70 (define @t328 () (not @t317)) % 47.54/47.70 (define @t329 () (not @t327)) % 47.54/47.70 (define @t330 () (tptp.cardinality (tptp.union @t90 tptp.empty_set))) % 47.54/47.70 (define @t331 () (+ -1 @t330)) % 47.54/47.70 (define @t332 () (= @t304 @t331)) % 47.54/47.70 (define @t333 () (= @t318 @t332)) % 47.54/47.70 (define @t334 () (not @t318)) % 47.54/47.70 (define @t335 () (+ @t308 @t330)) % 47.54/47.70 (define @t336 () (- @t139 @t335)) % 47.54/47.70 (define @t337 () (+ @t139 @t304)) % 47.54/47.70 (define @t338 () (= @t139 @t335)) % 47.54/47.70 (define @t339 () (= @t330 @t337)) % 47.54/47.70 (define @t340 () (= @t339 @t318)) % 47.54/47.70 (define @t341 () (= @t318 @t338)) % 47.54/47.70 (define @t342 () (tptp.intersection @t89 tptp.empty_set)) % 47.54/47.70 (define @t343 () (forall @t5 (not (tptp.member @t3 @t342)))) % 47.54/47.70 (define @t344 () (= tptp.empty_set @t342)) % 47.54/47.70 (define @t345 () (= @t343 @t344)) % 47.54/47.70 (define @t346 () (= @t344 @t343)) % 47.54/47.70 (define @t347 () (@quantifiers_skolemize @t343 0)) % 47.54/47.70 (define @t348 () (tptp.member @t347 tptp.empty_set)) % 47.54/47.70 (define @t349 () (and (tptp.member @t347 @t89) @t348)) % 47.54/47.70 (define @t350 () (not @t349)) % 47.54/47.70 (define @t351 () (tptp.member @t347 @t342)) % 47.54/47.70 (define @t352 () (= @t351 @t349)) % 47.54/47.70 (define @t353 () (not @t351)) % 47.54/47.70 (define @t354 () (not @t343)) % 47.54/47.70 (define @t355 () (not @t353)) % 47.54/47.70 (define @t356 () (tptp.cardinality (tptp.union @t89 tptp.empty_set))) % 47.54/47.70 (define @t357 () (+ -1 @t356)) % 47.54/47.70 (define @t358 () (= @t304 @t357)) % 47.54/47.70 (define @t359 () (= @t344 @t358)) % 47.54/47.70 (define @t360 () (not @t344)) % 47.54/47.70 (define @t361 () (+ @t308 @t356)) % 47.54/47.70 (define @t362 () (- @t248 @t361)) % 47.54/47.70 (define @t363 () (+ @t248 @t304)) % 47.54/47.70 (define @t364 () (= @t248 @t361)) % 47.54/47.70 (define @t365 () (= @t356 @t363)) % 47.54/47.70 (define @t366 () (= @t365 @t344)) % 47.54/47.70 (define @t367 () (= @t344 @t364)) % 47.54/47.70 (define @t368 () (* -1 @t86)) % 47.54/47.70 (define @t369 () (+ @t93 @t368)) % 47.54/47.70 (define @t370 () (>= @t369 3)) % 47.54/47.70 (define @t371 () (< @t369 3)) % 47.54/47.70 (define @t372 () (* -1 0)) % 47.54/47.70 (define @t373 () (+ 3 -1 @t372 @t372 -1 @t372 -1 0 0 @t372)) % 47.54/47.70 (define @t374 () (* -1 @t248)) % 47.54/47.70 (define @t375 () (* -1 @t141)) % 47.54/47.70 (define @t376 () (* 0 @t93)) % 47.54/47.70 (define @t377 () (= @t376 0)) % 47.54/47.70 (define @t378 () (* 0 @t252)) % 47.54/47.70 (define @t379 () (= @t378 0)) % 47.54/47.70 (define @t380 () (* 0 @t139)) % 47.54/47.70 (define @t381 () (= @t380 0)) % 47.54/47.70 (define @t382 () (* 0 @t138)) % 47.54/47.70 (define @t383 () (= @t382 0)) % 47.54/47.70 (define @t384 () (* 0 @t304)) % 47.54/47.70 (define @t385 () (= @t384 0)) % 47.54/47.70 (define @t386 () (* 0 @t302)) % 47.54/47.70 (define @t387 () (= @t386 0)) % 47.54/47.70 (define @t388 () (* 0 @t330)) % 47.54/47.70 (define @t389 () (= @t388 0)) % 47.54/47.70 (define @t390 () (* 0 @t356)) % 47.54/47.70 (define @t391 () (= @t390 0)) % 47.54/47.70 (define @t392 () (+ @t390 @t388 @t386 @t384 @t248 @t382 @t375 @t374 @t380 @t378 @t141 @t368 @t86 @t376)) % 47.54/47.70 (define @t393 () (* -1 @t138)) % 47.54/47.70 (define @t394 () (+ @t93 @t393 @t374)) % 47.54/47.70 (define @t395 () (+ @t141 @t139 @t393)) % 47.54/47.70 (define @t396 () (+ @t86 @t375 @t252)) % 47.54/47.70 (define @t397 () (* -1 @t330)) % 47.54/47.70 (define @t398 () (+ @t304 @t397)) % 47.54/47.70 (define @t399 () (+ @t139 @t304 @t397)) % 47.54/47.70 (define @t400 () (* -1 @t356)) % 47.54/47.70 (define @t401 () (+ @t304 @t400)) % 47.54/47.70 (define @t402 () (+ @t248 @t304 @t400)) % 47.54/47.70 (define @t403 () (* -1 @t302)) % 47.54/47.70 (define @t404 () (+ @t252 @t304 @t403)) % 47.54/47.70 (define @t405 () (+ @t304 @t403)) % 47.54/47.70 (define @t406 () (+ @t369 @t405 (* -1 @t404) (* -1 @t402) @t401 (* -1 @t399) @t398 @t396 @t395 (* -1 @t394))) % 47.54/47.70 (define @t407 () (>= @t406 @t373)) % 47.54/47.70 (define @t408 () (= @t394 0)) % 47.54/47.70 (define @t409 () (= (* 1 (- @t394 0)) (* 1 (- @t93 @t249)))) % 47.54/47.70 (define @t410 () (= @t408 @t250)) % 47.54/47.70 (define @t411 () (< -1 0)) % 47.54/47.70 (define @t412 () (= (* 1 (- @t395 0)) (* 1 @t143))) % 47.54/47.70 (define @t413 () (= @t395 0)) % 47.54/47.70 (define @t414 () (= @t413 @t142)) % 47.54/47.70 (define @t415 () (= (* 1 (- @t396 0)) (* 1 @t257))) % 47.54/47.70 (define @t416 () (= @t396 0)) % 47.54/47.70 (define @t417 () (= @t416 @t254)) % 47.54/47.70 (define @t418 () (= (* 1 (- @t398 -1)) (* 1 (- @t304 @t331)))) % 47.54/47.70 (define @t419 () (= @t398 -1)) % 47.54/47.70 (define @t420 () (= @t419 @t332)) % 47.54/47.70 (define @t421 () (= @t399 0)) % 47.54/47.70 (define @t422 () (= (* 1 (- @t399 0)) (* 1 @t336))) % 47.54/47.70 (define @t423 () (= @t421 @t338)) % 47.54/47.70 (define @t424 () (= (* 1 (- @t401 -1)) (* 1 (- @t304 @t357)))) % 47.54/47.70 (define @t425 () (= @t401 -1)) % 47.54/47.70 (define @t426 () (= @t425 @t358)) % 47.54/47.70 (define @t427 () (= @t402 0)) % 47.54/47.70 (define @t428 () (= (* 1 (- @t402 0)) (* 1 @t362))) % 47.54/47.70 (define @t429 () (= @t427 @t364)) % 47.54/47.70 (define @t430 () (= @t404 0)) % 47.54/47.70 (define @t431 () (= (* 1 (- @t404 0)) (* 1 @t310))) % 47.54/47.70 (define @t432 () (= @t430 @t312)) % 47.54/47.70 (define @t433 () (= (* 1 (- @t405 -1)) (* 1 (- @t304 @t303)))) % 47.54/47.70 (define @t434 () (= @t405 -1)) % 47.54/47.70 (define @t435 () (= @t434 @t305)) % 47.54/47.70 (define @t436 () (and @t254 @t142 @t250 @t305 @t312 @t332 @t338 @t358 @t364)) % 47.54/47.70 (define @t437 () (>= @t369 4)) % 47.54/47.70 (define @t438 () (* -1 -1)) % 47.54/47.70 (define @t439 () (* -1 4)) % 47.54/47.70 (define @t440 () (+ @t439 @t438 0 0 @t438 0 @t438 @t372 @t372 0)) % 47.54/47.70 (define @t441 () (+ @t390 @t388 @t386 @t384 @t374 @t382 @t141 @t248 @t380 @t378 @t375 @t86 @t368 @t376)) % 47.54/47.70 (define @t442 () (+ (* -1 @t369) (* -1 @t405) @t404 @t402 (* -1 @t401) @t399 (* -1 @t398) (* -1 @t396) (* -1 @t395) @t394)) % 47.54/47.70 (define @t443 () (not @t437)) % 47.54/47.70 (define @t444 () (not @t94)) % 47.54/47.70 (define @t445 () (not @t370)) % 47.54/47.70 (define @t446 () (+ 3 1)) % 47.54/47.70 (define @t447 () (>= @t369 @t446)) % 47.54/47.70 (define @t448 () (= @t369 3)) % 47.54/47.70 (define @t449 () (and @t443 @t444 @t370)) % 47.54/47.70 (define @t450 () (not @t142)) % 47.54/47.70 (define @t451 () (not @t132)) % 47.54/47.70 (define @t452 () (not @t124)) % 47.54/47.70 (define @t453 () (tptp.member @t125 @t123)) % 47.54/47.70 (define @t454 () (not @t453)) % 47.54/47.70 (define @t455 () (not @t454)) % 47.54/47.70 (define @t456 () (tptp.member @t125 @t91)) % 47.54/47.70 (define @t457 () (and @t456 @t126)) % 47.54/47.70 (define @t458 () (= @t453 @t457)) % 47.54/47.70 (define @t459 () (not @t457)) % 47.54/47.70 (define @t460 () (@list @t457)) % 47.54/47.70 (define @t461 () (tptp.member @t125 @t75)) % 47.54/47.70 (define @t462 () (tptp.member @t125 @t85)) % 47.54/47.70 (define @t463 () (or @t462 @t461)) % 47.54/47.70 (define @t464 () (= @t456 @t463)) % 47.54/47.70 (define @t465 () (= @t461 (= @t125 @t74))) % 47.54/47.70 (define @t466 () (= @t74 @t125)) % 47.54/47.70 (define @t467 () (= @t461 @t466)) % 47.54/47.70 (define @t468 () (= @t116 (= @t77 @t74))) % 47.54/47.70 (define @t469 () (= @t74 @t77)) % 47.54/47.70 (define @t470 () (= @t116 @t469)) % 47.54/47.70 (define @t471 () (not @t469)) % 47.54/47.70 (define @t472 () (not @t466)) % 47.54/47.70 (define @t473 () (not @t128)) % 47.54/47.70 (define @t474 () (and @t471 @t128)) % 47.54/47.70 (define @t475 () (tptp.member @t125 @t76)) % 47.54/47.70 (define @t476 () (not @t462)) % 47.54/47.70 (define @t477 () (or @t476 @t475)) % 47.54/47.70 (define @t478 () (not @t475)) % 47.54/47.70 (define @t479 () (and @t121 @t128)) % 47.54/47.70 (assume @p1 @t9) % 47.54/47.70 (assume @p2 @t11) % 47.54/47.70 (assume @p3 @t20) % 47.54/47.70 (assume @p4 (forall @t22 (= (tptp.member @t3 @t21) (and @t15 @t13)))) % 47.54/47.70 (assume @p5 (forall @t22 (= (tptp.member @t3 @t23) (or @t15 @t13)))) % 47.54/47.70 (assume @p6 (forall (@list @t24 @t14 @t25) (= (tptp.member @t24 (tptp.difference @t25 @t14)) (and (tptp.member @t24 @t25) (not (tptp.member @t24 @t14)))))) % 47.54/47.70 (assume @p7 (forall @t26 (= @t4 (not (tptp.member @t3 (tptp.complement @t1)))))) % 47.54/47.70 (assume @p8 (forall @t8 (= (= @t27 0) @t2))) % 47.54/47.70 (assume @p9 (forall @t26 (= (= @t30 @t28) (= @t29 @t27)))) % 47.54/47.70 (assume @p10 @t34) % 47.54/47.70 (assume @p11 (forall (@list @t1 @t35) (= (= (tptp.cardinality @t36) 0) (= @t36 tptp.empty_set)))) % 47.54/47.70 (assume @p12 @t39) % 47.54/47.70 (assume @p13 @t66) % 47.54/47.70 (assume @p14 true) % 47.54/47.70 (step @p15 :rule instantiate :premises (@p5) :args ((@list @t77 @t76 @t75))) % 47.54/47.70 (step @p16 :rule bool-impl-elim :args (@t15 @t13)) % 47.54/47.70 (step @p17 :rule cong :premises (@p16) :args (@t16)) % 47.54/47.70 (step @p18 :rule refl :args (@t17)) % 47.54/47.70 (step @p19 :rule cong :premises (@p18 @p17) :args (@t18)) % 47.54/47.70 (step @p20 :rule cong :premises (@p19) :args (@t20)) % 47.54/47.70 (step @p21 :rule eq_resolve :premises (@p3 @p20)) % 47.54/47.70 (step @p22 :rule instantiate :premises (@p21) :args ((@list @t79 @t78))) % 47.54/47.70 (step @p23 :rule aci_norm :args ((= (or (or @t71 @t59 @t70 @t55 @t69 @t51) @t68) @t72))) % 47.54/47.70 (step @p24 :rule refl :args (@t68)) % 47.54/47.70 (step @p25 :rule bool-double-not-elim :args (@t51)) % 47.54/47.70 (step @p26 :rule refl :args (@t69)) % 47.54/47.70 (step @p27 :rule bool-double-not-elim :args (@t55)) % 47.54/47.70 (step @p28 :rule refl :args (@t70)) % 47.54/47.70 (step @p29 :rule bool-double-not-elim :args (@t59)) % 47.54/47.70 (step @p30 :rule refl :args (@t71)) % 47.54/47.70 (step @p31 :rule nary_cong :premises (@p30 @p29 @p28 @p27 @p26 @p25) :args (@t83)) % 47.54/47.70 (step @p32 :rule aci_norm :args ((= (or @t71 (or @t82 (or @t70 (or @t81 (or @t69 @t80))))) @t83))) % 47.54/47.70 (step @p33 :rule trans :premises (@p32 @p31)) % 47.54/47.70 (step @p34 :rule bool-and-de-morgan :args (@t54 @t52 true)) % 47.54/47.70 (step @p35 :rule refl :args (@t81)) % 47.54/47.70 (step @p36 :rule nary_cong :premises (@p35 @p34) :args ((or @t81 (not (and @t54 @t52))))) % 47.54/47.70 (step @p37 :rule bool-and-de-morgan :args (@t56 @t54 (and @t52))) % 47.54/47.70 (step @p38 :rule trans :premises (@p37 @p36)) % 47.54/47.70 (step @p39 :rule nary_cong :premises (@p28 @p38) :args ((or @t70 (not (and @t56 @t54 @t52))))) % 47.54/47.70 (step @p40 :rule bool-and-de-morgan :args (@t58 @t56 (and @t54 @t52))) % 47.54/47.70 (step @p41 :rule trans :premises (@p40 @p39)) % 47.54/47.70 (step @p42 :rule refl :args (@t82)) % 47.54/47.70 (step @p43 :rule nary_cong :premises (@p42 @p41) :args ((or @t82 (not (and @t58 @t56 @t54 @t52))))) % 47.54/47.70 (step @p44 :rule bool-and-de-morgan :args (@t60 @t58 (and @t56 @t54 @t52))) % 47.54/47.70 (step @p45 :rule trans :premises (@p44 @p43)) % 47.54/47.70 (step @p46 :rule nary_cong :premises (@p30 @p45) :args ((or @t71 (not (and @t60 @t58 @t56 @t54 @t52))))) % 47.54/47.70 (step @p47 :rule bool-and-de-morgan :args (@t61 @t60 (and @t58 @t56 @t54 @t52))) % 47.54/47.70 (step @p48 :rule trans :premises (@p47 @p46)) % 47.54/47.70 (step @p49 :rule trans :premises (@p48 @p33)) % 47.54/47.70 (step @p50 :rule nary_cong :premises (@p49 @p24) :args ((or (not @t62) @t68))) % 47.54/47.70 (step @p51 :rule trans :premises (@p50 @p23)) % 47.54/47.70 (step @p52 :rule bool-impl-elim :args (@t62 @t68)) % 47.54/47.70 (step @p53 :rule trans :premises (@p52 @p51)) % 47.54/47.70 (step @p54 :rule cong :premises (@p53) :args ((forall @t64 (=> @t62 @t68)))) % 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scope :premises (@p1273)) % 47.54/47.71 (step-pop @p1275 :rule scope :premises (@p1274)) % 47.54/47.71 (step-pop @p1276 :rule scope :premises (@p1275)) % 47.54/47.71 (step @p913 :rule process_scope :premises (@p1276) :args (@t443)) % 47.54/47.71 (step @p923 :rule and_intro :premises (@p1250 @p1249 @p1248 @p1253 @p1254 @p1255 @p1256 @p1252 @p1251)) % 47.54/47.71 (step @p924 :rule modus_ponens :premises (@p923 @p913)) % 47.54/47.71 (step-pop @p1277 :rule scope :premises (@p924)) % 47.54/47.71 (step-pop @p1278 :rule scope :premises (@p1277)) % 47.54/47.71 (step-pop @p1279 :rule scope :premises (@p1278)) % 47.54/47.71 (step-pop @p1280 :rule scope :premises (@p1279)) % 47.54/47.71 (step-pop @p1281 :rule scope :premises (@p1280)) % 47.54/47.71 (step-pop @p1282 :rule scope :premises (@p1281)) % 47.54/47.71 (step-pop @p1283 :rule scope :premises (@p1282)) % 47.54/47.71 (step-pop @p1284 :rule scope :premises (@p1283)) % 47.54/47.71 (step-pop @p1285 :rule scope :premises (@p1284)) % 47.54/47.71 (step @p925 :rule process_scope :premises (@p1285) :args (@t443)) % 47.54/47.71 (step @p935 :rule implies_elim :premises (@p925)) % 47.54/47.71 (step @p936 :rule resolution :premises (@p844 @p935) :args (true @t436)) % 47.54/47.71 (step @p937 :rule cnf_or_neg :args (@t105 6)) % 47.54/47.71 (step @p938 :rule chain_m_resolution :premises (@p937 @p64) :args (@t444 @t106 @t107)) % 47.54/47.71 (step @p939 :rule refl :args (@t445)) % 47.54/47.71 (step @p940 :rule bool-double-not-elim :args (@t437)) % 47.54/47.71 (step @p941 :rule bool-double-not-elim :args (@t94)) % 47.54/47.71 (step @p942 :rule nary_cong :premises (@p941 @p940 @p939) :args ((or (not @t444) (not @t443) @t445))) % 47.54/47.71 (assume-push @p1286 @t443) % 47.54/47.71 (assume-push @p1287 @t444) % 47.54/47.71 (assume-push @p1288 @t370) % 47.54/47.71 (step @p946 :rule evaluate :args (@t446)) % 47.54/47.71 (step @p947 :rule refl :args (@t369)) % 47.54/47.71 (step @p948 :rule cong :premises (@p947 @p946) :args (@t447)) % 47.54/47.71 (step @p949 :rule cong :premises (@p948) :args ((not @t447))) % 47.54/47.71 (step @p950 :rule arith-leq-norm :args (@t369 3)) % 47.54/47.71 (step @p951 :rule trans :premises (@p950 @p949)) % 47.54/47.71 (step @p952 :rule cong :premises (@p951) :args ((not (<= @t369 3)))) % 47.54/47.71 (step @p953 :rule trans :premises (@p952 @p940)) % 47.54/47.71 (step @p954 :rule arith-elim-leq :args (@t369 3)) % 47.54/47.71 (step @p955 :rule symm :premises (@p954)) % 47.54/47.71 (step @p956 :rule cong :premises (@p955) :args ((not (>= 3 @t369)))) % 47.54/47.71 (step @p957 :rule arith-elim-gt :args (@t369 3)) % 47.54/47.71 (step @p958 :rule trans :premises (@p957 @p956)) % 47.54/47.71 (step @p959 :rule trans :premises (@p958 @p953)) % 47.54/47.71 (step @p960 :rule cong :premises (@p959) :args ((not (> @t369 3)))) % 47.54/47.71 (step @p961 :rule symm :premises (@p960)) % 47.54/47.71 (step @p962 :rule trans :premises (@p951 @p961)) % 47.54/47.71 (step @p864 :rule arith-elim-lt :args (@t369 4)) % 47.54/47.71 (step @p865 :rule symm :premises (@p864)) % 47.54/47.71 (step @p963 :rule eq_resolve :premises (@p1286 @p865)) % 47.54/47.71 (step @p964 :rule int_tight_ub :premises (@p963)) % 47.54/47.71 (step @p965 :rule eq_resolve :premises (@p964 @p962)) % 47.54/47.71 (step @p966 :rule arith_poly_norm :args ((= (* -3 (- @t369 3)) (* -3 (- @t93 @t87))))) % 47.54/47.71 (step @p967 :rule arith_poly_norm_rel :premises (@p966) :args ((= @t448 @t94))) % 47.54/47.71 (step @p968 :rule cong :premises (@p967) :args ((not @t448))) % 47.54/47.71 (step @p969 :rule symm :premises (@p968)) % 47.54/47.71 (step @p970 :rule eq_resolve :premises (@p938 @p969)) % 47.54/47.71 (step @p971 :rule arith_trichotomy :premises (@p970 @p1288)) % 47.54/47.71 (step @p972 false :rule contra :premises (@p971 @p965)) % 47.54/47.71 (step-pop @p1289 :rule scope :premises (@p972)) % 47.54/47.71 (step-pop @p1290 :rule scope :premises (@p1289)) % 47.54/47.71 (step-pop @p1291 :rule scope :premises (@p1290)) % 47.54/47.71 (step @p973 :rule process_scope :premises (@p1291) :args (false)) % 47.54/47.71 (assume-push @p1292 @t444) % 47.54/47.71 (assume-push @p1293 @t443) % 47.54/47.71 (assume-push @p1294 @t370) % 47.54/47.71 (step @p980 :rule and_intro :premises (@p1293 @p938 @p1294)) % 47.54/47.71 (step-pop @p1295 :rule scope :premises (@p980)) % 47.54/47.71 (step-pop @p1296 :rule scope :premises (@p1295)) % 47.54/47.71 (step-pop @p1297 :rule scope :premises (@p1296)) % 47.54/47.71 (step @p981 :rule process_scope :premises (@p1297) :args (@t449)) % 47.54/47.71 (step @p985 :rule implies_elim :premises (@p981)) % 47.54/47.71 (step @p986 :rule resolution :premises (@p985 @p973) :args (true @t449)) % 47.54/47.71 (step @p987 :rule not_and :premises (@p986)) % 47.54/47.71 (step @p988 :rule eq_resolve :premises (@p987 @p942)) % 47.54/47.71 (step @p989 :rule chain_m_resolution :premises (@p988 @p938 @p936 @p708 @p691 @p653 @p636 @p598 @p581 @p845 @p708 @p691 @p653 @p636 @p598 @p581) :args ((or (not @t254) @t450 (not @t250)) (@list true true false false false false false false false false false false false false false) (@list @t94 @t437 @t364 @t358 @t338 @t332 @t312 @t305 @t370 @t364 @t358 @t338 @t332 @t312 @t305))) % 47.54/47.71 (step @p990 :rule chain_m_resolution :premises (@p989 @p520 @p418) :args (@t450 @t111 (@list @t254 @t250))) % 47.54/47.71 (step @p991 :rule cnf_equiv_pos1 :args (@t148)) % 47.54/47.71 (step @p992 :rule reordering :premises (@p991) :args ((or @t142 @t451 (not @t148)))) % 47.54/47.71 (step @p993 :rule chain_m_resolution :premises (@p992 @p990 @p135) :args (@t451 @t115 (@list @t142 @t148))) % 47.54/47.71 (step @p994 :rule cnf_equiv_pos2 :args (@t135)) % 47.54/47.71 (step @p995 :rule reordering :premises (@p994) :args ((or @t132 @t452 (not @t135)))) % 47.54/47.71 (step @p996 :rule chain_m_resolution :premises (@p995 @p993 @p113) :args (@t452 @t115 (@list @t132 @t135))) % 47.54/47.71 (step @p997 :rule refl :args (@t453)) % 47.54/47.71 (step @p998 :rule bool-double-not-elim :args (@t124)) % 47.54/47.71 (step @p999 :rule nary_cong :premises (@p998 @p997) :args ((or (not @t452) @t453))) % 47.54/47.71 (step @p1000 :rule bool-double-not-elim :args (@t453)) % 47.54/47.71 (step @p1001 :rule refl :args (@t452)) % 47.54/47.71 (step @p1002 :rule cong :premises (@p1001 @p1000) :args ((=> @t452 @t455))) % 47.54/47.71 (assume-push @p1298 @t452) % 47.54/47.71 (step @p1004 :rule skolemize :premises (@p1298)) % 47.54/47.71 (step-pop @p1299 :rule scope :premises (@p1004)) % 47.54/47.71 (step @p1005 :rule process_scope :premises (@p1299) :args (@t455)) % 47.54/47.71 (step @p1007 :rule eq_resolve :premises (@p1005 @p1002)) % 47.54/47.71 (step @p1008 :rule implies_elim :premises (@p1007)) % 47.54/47.71 (step @p1009 :rule eq_resolve :premises (@p1008 @p999)) % 47.54/47.71 (step @p1010 :rule chain_m_resolution :premises (@p1009 @p996) :args (@t453 @t106 (@list @t124))) % 47.54/47.71 (step @p1011 :rule cnf_equiv_pos1 :args (@t458)) % 47.54/47.71 (step @p1012 :rule reordering :premises (@p1011) :args ((or @t454 @t457 (not @t458)))) % 47.54/47.71 (step @p1013 :rule chain_m_resolution :premises (@p1012 @p1010 @p98) :args (@t457 @t111 (@list @t453 @t458))) % 47.54/47.71 (step @p1014 :rule cnf_and_pos :args (@t457 1)) % 47.54/47.71 (step @p1015 :rule reordering :premises (@p1014) :args ((or @t126 @t459))) % 47.54/47.71 (step @p1016 :rule chain_m_resolution :premises (@p1015 @p1013) :args (@t126 @t130 @t460)) % 47.54/47.71 (step @p1017 :rule cnf_equiv_pos1 :args (@t129)) % 47.54/47.71 (step @p1018 :rule reordering :premises (@p1017) :args ((or (not @t126) @t128 (not @t129)))) % 47.54/47.71 (step @p1019 :rule chain_m_resolution :premises (@p1018 @p1016 @p97) :args (@t128 @t111 (@list @t126 @t129))) % 47.54/47.71 (step @p1020 :rule instantiate :premises (@p312) :args ((@list @t125))) % 47.54/47.71 (step @p1021 :rule cnf_and_pos :args (@t457 0)) % 47.54/47.71 (step @p1022 :rule reordering :premises (@p1021) :args ((or @t456 @t459))) % 47.54/47.71 (step @p1023 :rule instantiate :premises (@p5) :args ((@list @t125 @t85 @t75))) % 47.54/47.71 (step @p1024 :rule cnf_equiv_pos1 :args (@t464)) % 47.54/47.71 (step @p1025 :rule reordering :premises (@p1024) :args ((or (not @t456) @t463 (not @t464)))) % 47.54/47.71 (step @p1026 :rule cnf_or_pos :args (@t463)) % 47.54/47.71 (step @p1027 :rule reordering :premises (@p1026) :args ((or @t462 @t461 (not @t463)))) % 47.54/47.71 (step @p1028 :rule eq-symm :args (@t125 @t74)) % 47.54/47.71 (step @p1029 :rule refl :args (@t461)) % 47.54/47.71 (step @p1030 :rule cong :premises (@p1029 @p1028) :args (@t465)) % 47.54/47.71 (step @p1031 :rule cong :premises (@p89 @p1030) :args ((=> @t11 @t465))) % 47.54/47.71 (assume-push @p1300 @t11) % 47.54/47.71 (step @p1033 :rule instantiate :premises (@p2) :args ((@list @t125 @t74))) % 47.54/47.71 (step-pop @p1301 :rule scope :premises (@p1033)) % 47.54/47.71 (step @p1034 :rule process_scope :premises (@p1301) :args (@t465)) % 47.54/47.71 (step @p1036 :rule eq_resolve :premises (@p1034 @p1031)) % 47.54/47.71 (step @p1037 :rule implies_elim :premises (@p1036)) % 47.54/47.71 (step @p1038 :rule chain_m_resolution :premises (@p1037 @p2) :args (@t467 @t130 @t131)) % 47.54/47.71 (step @p1039 :rule cnf_equiv_pos1 :args (@t467)) % 47.54/47.71 (step @p1040 :rule reordering :premises (@p1039) :args ((or (not @t461) @t466 (not @t467)))) % 47.54/47.71 (step @p1041 :rule eq-symm :args (@t77 @t74)) % 47.54/47.71 (step @p1042 :rule refl :args (@t116)) % 47.54/47.71 (step @p1043 :rule cong :premises (@p1042 @p1041) :args (@t468)) % 47.54/47.71 (step @p1044 :rule cong :premises (@p89 @p1043) :args ((=> @t11 @t468))) % 47.54/47.71 (assume-push @p1302 @t11) % 47.54/47.71 (step @p1046 :rule instantiate :premises (@p2) :args ((@list @t77 @t74))) % 47.54/47.71 (step-pop @p1303 :rule scope :premises (@p1046)) % 47.54/47.71 (step @p1047 :rule process_scope :premises (@p1303) :args (@t468)) % 47.54/47.71 (step @p1049 :rule eq_resolve :premises (@p1047 @p1044)) % 47.54/47.71 (step @p1050 :rule implies_elim :premises (@p1049)) % 47.54/47.71 (step @p1051 :rule chain_m_resolution :premises (@p1050 @p2) :args (@t470 @t130 @t131)) % 47.54/47.71 (step @p1052 :rule cnf_or_neg :args (@t118 1)) % 47.54/47.71 (step @p1053 :rule chain_m_resolution :premises (@p1052 @p83) :args ((not @t116) @t106 @t122)) % 47.54/47.71 (step @p1054 :rule cnf_equiv_pos2 :args (@t470)) % 47.54/47.71 (step @p1055 :rule reordering :premises (@p1054) :args ((or @t116 @t471 (not @t470)))) % 47.54/47.71 (step @p1056 :rule chain_m_resolution :premises (@p1055 @p1053 @p1051) :args (@t471 @t115 (@list @t116 @t470))) % 47.54/47.71 (step @p1057 :rule refl :args (@t472)) % 47.54/47.71 (step @p1058 :rule refl :args (@t473)) % 47.54/47.71 (step @p1059 :rule bool-double-not-elim :args (@t469)) % 47.54/47.71 (step @p1060 :rule nary_cong :premises (@p1059 @p1058 @p1057) :args ((or (not @t471) @t473 @t472))) % 47.54/47.71 (assume-push @p1304 @t471) % 47.54/47.71 (assume-push @p1305 @t128) % 47.54/47.71 (assume-push @p1306 @t471) % 47.54/47.71 (assume-push @p1307 @t128) % 47.54/47.71 (step @p1065 :rule false_intro :premises (@p1056)) % 47.54/47.71 (step @p1066 :rule symm :premises (@p1305)) % 47.54/47.71 (step @p1067 :rule refl :args (@t74)) % 47.54/47.71 (step @p1068 :rule cong :premises (@p1067 @p1066) :args (@t466)) % 47.54/47.71 (step @p1069 :rule trans :premises (@p1068 @p1065)) % 47.54/47.71 (step @p1070 :rule false_elim :premises (@p1069)) % 47.54/47.71 (step-pop @p1308 :rule scope :premises (@p1070)) % 47.54/47.71 (step-pop @p1309 :rule scope :premises (@p1308)) % 47.54/47.71 (step @p1071 :rule process_scope :premises (@p1309) :args (@t472)) % 47.54/47.71 (step @p1074 :rule and_intro :premises (@p1056 @p1305)) % 47.54/47.71 (step @p1075 :rule modus_ponens :premises (@p1074 @p1071)) % 47.54/47.71 (step-pop @p1310 :rule scope :premises (@p1075)) % 47.54/47.71 (step-pop @p1311 :rule scope :premises (@p1310)) % 47.54/47.71 (step @p1076 :rule process_scope :premises (@p1311) :args (@t472)) % 47.54/47.71 (step @p1079 :rule implies_elim :premises (@p1076)) % 47.54/47.71 (step @p1080 :rule cnf_and_neg :args (@t474)) % 47.54/47.71 (step @p1081 :rule resolution :premises (@p1080 @p1079) :args (true @t474)) % 47.54/47.71 (step @p1082 :rule eq_resolve :premises (@p1081 @p1060)) % 47.54/47.71 (step @p1083 :rule chain_m_resolution :premises (@p1082 @p1056 @p1040 @p1038 @p1027 @p1018 @p97 @p1025 @p1023 @p1015 @p1022) :args ((or @t459 @t462) (@list true false false false false false false false false false) (@list @t469 @t466 @t467 @t461 @t128 @t129 @t463 @t464 @t126 @t456))) % 47.54/47.71 (step @p1084 :rule chain_m_resolution :premises (@p1083 @p1013) :args (@t462 @t130 @t460)) % 47.54/47.71 (step @p1085 :rule cnf_or_pos :args (@t477)) % 47.54/47.71 (step @p1086 :rule reordering :premises (@p1085) :args ((or @t476 @t475 (not @t477)))) % 47.54/47.71 (step @p1087 :rule chain_m_resolution :premises (@p1086 @p1084 @p1020) :args (@t475 @t111 (@list @t462 @t477))) % 47.54/47.71 (step @p1088 :rule refl :args (@t478)) % 47.54/47.71 (step @p1089 :rule bool-double-not-elim :args (@t117)) % 47.54/47.71 (step @p1090 :rule nary_cong :premises (@p1089 @p1058 @p1088) :args ((or (not @t121) @t473 @t478))) % 47.54/47.71 (assume-push @p1312 @t121) % 47.54/47.71 (assume-push @p1313 @t128) % 47.54/47.71 (assume-push @p1314 @t121) % 47.54/47.71 (assume-push @p1315 @t128) % 47.54/47.71 (step @p1095 :rule false_intro :premises (@p85)) % 47.54/47.71 (step @p1096 :rule refl :args (@t76)) % 47.54/47.71 (step @p1097 :rule symm :premises (@p1313)) % 47.54/47.71 (step @p1098 :rule cong :premises (@p1097 @p1096) :args (@t475)) % 47.54/47.71 (step @p1099 :rule trans :premises (@p1098 @p1095)) % 47.54/47.71 (step @p1100 :rule false_elim :premises (@p1099)) % 47.54/47.71 (step-pop @p1316 :rule scope :premises (@p1100)) % 47.54/47.71 (step-pop @p1317 :rule scope :premises (@p1316)) % 47.54/47.71 (step @p1101 :rule process_scope :premises (@p1317) :args (@t478)) % 47.54/47.71 (step @p1104 :rule and_intro :premises (@p85 @p1313)) % 47.54/47.71 (step @p1105 :rule modus_ponens :premises (@p1104 @p1101)) % 47.54/47.71 (step-pop @p1318 :rule scope :premises (@p1105)) % 47.54/47.71 (step-pop @p1319 :rule scope :premises (@p1318)) % 47.54/47.71 (step @p1106 :rule process_scope :premises (@p1319) :args (@t478)) % 47.54/47.71 (step @p1109 :rule implies_elim :premises (@p1106)) % 47.54/47.71 (step @p1110 :rule cnf_and_neg :args (@t479)) % 47.54/47.71 (step @p1111 :rule resolution :premises (@p1110 @p1109) :args (true @t479)) % 47.54/47.71 (step @p1112 :rule eq_resolve :premises (@p1111 @p1090)) % 47.54/47.71 (step @p1113 false :rule chain_m_resolution :premises (@p1112 @p1087 @p1019 @p85) :args (false (@list false false true) (@list @t475 @t128 @t117))) % 47.54/47.71 ) % 47.54/47.71 % SZS output end Proof % 47.54/47.71 % cvc5 exiting %------------------------------------------------------------------------------