%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SEV424_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 : n013.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:55:56 AM UTC 2026 % Result : Theorem 52.41s 52.60s % Output : Proof 52.41s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEV424_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n013.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 18:32:00 EDT 2026 % 0.16/0.35 % CPUTime : % 0.33/0.50 %----Proving TF0_ARI % 52.41/52.60 --- Run --finite-model-find --decision=internal at 45... % 52.41/52.60 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 52.41/52.60 % SZS status Theorem % 52.41/52.60 % SZS output start Proof % 52.41/52.60 ( % 52.41/52.60 (declare-sort tptp.element 0) % 52.41/52.60 (declare-sort tptp.set 0) % 52.41/52.60 (declare-const tptp.cardinality (-> tptp.set Int)) % 52.41/52.60 (declare-const tptp.complement (-> tptp.set tptp.set)) % 52.41/52.60 (declare-const tptp.difference (-> tptp.set tptp.set tptp.set)) % 52.41/52.60 (declare-const tptp.union (-> tptp.set tptp.set tptp.set)) % 52.41/52.60 (declare-const tptp.intersection (-> tptp.set tptp.set tptp.set)) % 52.41/52.60 (declare-const tptp.subset (-> tptp.set tptp.set Bool)) % 52.41/52.60 (declare-const tptp.singleton (-> tptp.element tptp.set)) % 52.41/52.60 (declare-const tptp.member (-> tptp.element tptp.set Bool)) % 52.41/52.60 (declare-const tptp.empty_set tptp.set) % 52.41/52.60 (define @t1 () (@var "S" tptp.set)) % 52.41/52.60 (define @t2 () (= @t1 tptp.empty_set)) % 52.41/52.60 (define @t3 () (@var "X" tptp.element)) % 52.41/52.60 (define @t4 () (tptp.member @t3 @t1)) % 52.41/52.60 (define @t5 () (@list @t3)) % 52.41/52.60 (define @t6 () (forall @t5 (not @t4))) % 52.41/52.60 (define @t7 () (= @t6 @t2)) % 52.41/52.60 (define @t8 () (@list @t1)) % 52.41/52.60 (define @t9 () (forall @t8 @t7)) % 52.41/52.60 (define @t10 () (@var "A" tptp.element)) % 52.41/52.60 (define @t11 () (forall (@list @t3 @t10) (= (tptp.member @t3 (tptp.singleton @t10)) (= @t3 @t10)))) % 52.41/52.60 (define @t12 () (@var "B" tptp.set)) % 52.41/52.60 (define @t13 () (tptp.member @t3 @t12)) % 52.41/52.60 (define @t14 () (@var "A" tptp.set)) % 52.41/52.60 (define @t15 () (tptp.member @t3 @t14)) % 52.41/52.60 (define @t16 () (forall @t5 (=> @t15 @t13))) % 52.41/52.60 (define @t17 () (tptp.subset @t14 @t12)) % 52.41/52.60 (define @t18 () (= @t17 @t16)) % 52.41/52.60 (define @t19 () (@list @t14 @t12)) % 52.41/52.60 (define @t20 () (forall @t19 @t18)) % 52.41/52.60 (define @t21 () (tptp.intersection @t14 @t12)) % 52.41/52.60 (define @t22 () (@list @t3 @t14 @t12)) % 52.41/52.60 (define @t23 () (tptp.union @t14 @t12)) % 52.41/52.60 (define @t24 () (@var "B" tptp.element)) % 52.41/52.60 (define @t25 () (@var "E" tptp.set)) % 52.41/52.60 (define @t26 () (@list @t3 @t1)) % 52.41/52.60 (define @t27 () (tptp.cardinality @t1)) % 52.41/52.60 (define @t28 () (tptp.singleton @t3)) % 52.41/52.60 (define @t29 () (tptp.cardinality (tptp.union @t28 @t1))) % 52.41/52.60 (define @t30 () (tptp.intersection @t28 @t1)) % 52.41/52.60 (define @t31 () (+ @t27 1)) % 52.41/52.60 (define @t32 () (= @t29 @t31)) % 52.41/52.60 (define @t33 () (= (= @t30 tptp.empty_set) @t32)) % 52.41/52.60 (define @t34 () (forall @t26 @t33)) % 52.41/52.60 (define @t35 () (@var "T" tptp.set)) % 52.41/52.60 (define @t36 () (tptp.intersection @t1 @t35)) % 52.41/52.60 (define @t37 () (= (tptp.cardinality @t23) (+ (tptp.cardinality @t14) (tptp.cardinality @t12)))) % 52.41/52.60 (define @t38 () (= (= @t21 tptp.empty_set) @t37)) % 52.41/52.60 (define @t39 () (forall @t19 @t38)) % 52.41/52.60 (define @t40 () (@var "C" tptp.set)) % 52.41/52.60 (define @t41 () (tptp.cardinality @t40)) % 52.41/52.60 (define @t42 () (+ @t41 3)) % 52.41/52.60 (define @t43 () (@var "X3" tptp.element)) % 52.41/52.60 (define @t44 () (@var "X2" tptp.element)) % 52.41/52.60 (define @t45 () (tptp.singleton @t44)) % 52.41/52.60 (define @t46 () (@var "X1" tptp.element)) % 52.41/52.60 (define @t47 () (tptp.singleton @t46)) % 52.41/52.60 (define @t48 () (tptp.cardinality (tptp.union (tptp.union (tptp.union @t40 @t47) @t45) (tptp.singleton @t43)))) % 52.41/52.60 (define @t49 () (= @t48 @t42)) % 52.41/52.60 (define @t50 () (tptp.union @t14 @t47)) % 52.41/52.60 (define @t51 () (tptp.member @t43 (tptp.union @t50 @t45))) % 52.41/52.60 (define @t52 () (not @t51)) % 52.41/52.60 (define @t53 () (tptp.member @t44 @t50)) % 52.41/52.60 (define @t54 () (not @t53)) % 52.41/52.60 (define @t55 () (tptp.member @t46 @t14)) % 52.41/52.60 (define @t56 () (not @t55)) % 52.41/52.60 (define @t57 () (tptp.subset @t40 @t14)) % 52.41/52.60 (define @t58 () (and @t57 @t56 @t54 @t52)) % 52.41/52.60 (define @t59 () (=> @t58 @t49)) % 52.41/52.60 (define @t60 () (@list @t40 @t14 @t46 @t44 @t43)) % 52.41/52.60 (define @t61 () (forall @t60 @t59)) % 52.41/52.60 (define @t62 () (not @t61)) % 52.41/52.60 (define @t63 () (+ 3 @t41)) % 52.41/52.60 (define @t64 () (= @t48 @t63)) % 52.41/52.60 (define @t65 () (not @t57)) % 52.41/52.60 (define @t66 () (or @t65 @t55 @t53 @t51 @t64)) % 52.41/52.60 (define @t67 () (forall @t60 @t66)) % 52.41/52.60 (define @t68 () (@quantifiers_skolemize @t67 3)) % 52.41/52.60 (define @t69 () (tptp.singleton @t68)) % 52.41/52.60 (define @t70 () (@quantifiers_skolemize @t67 2)) % 52.41/52.60 (define @t71 () (tptp.singleton @t70)) % 52.41/52.60 (define @t72 () (@quantifiers_skolemize @t67 0)) % 52.41/52.60 (define @t73 () (tptp.union @t72 @t71)) % 52.41/52.60 (define @t74 () (@quantifiers_skolemize @t67 4)) % 52.41/52.60 (define @t75 () (tptp.singleton @t74)) % 52.41/52.60 (define @t76 () (tptp.union @t73 @t69)) % 52.41/52.60 (define @t77 () (tptp.intersection @t76 @t75)) % 52.41/52.60 (define @t78 () (forall @t5 (not (tptp.member @t3 @t77)))) % 52.41/52.60 (define @t79 () (@quantifiers_skolemize @t78 0)) % 52.41/52.60 (define @t80 () (= tptp.empty_set @t77)) % 52.41/52.60 (define @t81 () (forall @t8 (= @t6 (= tptp.empty_set @t1)))) % 52.41/52.60 (define @t82 () (= @t78 @t80)) % 52.41/52.60 (define @t83 () (= @t80 @t78)) % 52.41/52.60 (define @t84 () (@list false)) % 52.41/52.60 (define @t85 () (@list @t81)) % 52.41/52.60 (define @t86 () (= tptp.empty_set @t21)) % 52.41/52.60 (define @t87 () (tptp.cardinality (tptp.union @t71 tptp.empty_set))) % 52.41/52.60 (define @t88 () (tptp.cardinality tptp.empty_set)) % 52.41/52.60 (define @t89 () (* -1 @t88)) % 52.41/52.60 (define @t90 () (+ @t89 @t87)) % 52.41/52.60 (define @t91 () (tptp.cardinality @t71)) % 52.41/52.60 (define @t92 () (- @t91 @t90)) % 52.41/52.60 (define @t93 () (+ @t91 @t88)) % 52.41/52.60 (define @t94 () (= @t91 @t90)) % 52.41/52.60 (define @t95 () (= @t87 @t93)) % 52.41/52.60 (define @t96 () (tptp.intersection @t71 tptp.empty_set)) % 52.41/52.60 (define @t97 () (= tptp.empty_set @t96)) % 52.41/52.60 (define @t98 () (forall @t19 (= @t37 @t86))) % 52.41/52.60 (define @t99 () (= @t95 @t97)) % 52.41/52.60 (define @t100 () (= @t97 @t94)) % 52.41/52.60 (define @t101 () (@list @t98)) % 52.41/52.60 (define @t102 () (forall @t5 (not (tptp.member @t3 @t96)))) % 52.41/52.60 (define @t103 () (= @t102 @t97)) % 52.41/52.60 (define @t104 () (= @t97 @t102)) % 52.41/52.60 (define @t105 () (@quantifiers_skolemize @t102 0)) % 52.41/52.60 (define @t106 () (forall @t5 (not (tptp.member @t3 tptp.empty_set)))) % 52.41/52.60 (define @t107 () (= @t106 (= tptp.empty_set tptp.empty_set))) % 52.41/52.60 (define @t108 () (tptp.member @t105 tptp.empty_set)) % 52.41/52.60 (define @t109 () (and (tptp.member @t105 @t71) @t108)) % 52.41/52.60 (define @t110 () (not @t109)) % 52.41/52.60 (define @t111 () (@list true)) % 52.41/52.60 (define @t112 () (tptp.member @t105 @t96)) % 52.41/52.60 (define @t113 () (= @t112 @t109)) % 52.41/52.60 (define @t114 () (not @t112)) % 52.41/52.60 (define @t115 () (@list true false)) % 52.41/52.60 (define @t116 () (not @t102)) % 52.41/52.60 (define @t117 () (not @t114)) % 52.41/52.60 (define @t118 () (@list false false)) % 52.41/52.60 (define @t119 () (not @t97)) % 52.41/52.60 (define @t120 () (+ -1 @t29)) % 52.41/52.60 (define @t121 () (+ 1 @t27)) % 52.41/52.60 (define @t122 () (+ -1 @t87)) % 52.41/52.60 (define @t123 () (= @t88 @t122)) % 52.41/52.60 (define @t124 () (= @t97 @t123)) % 52.41/52.60 (define @t125 () (* -1 @t87)) % 52.41/52.60 (define @t126 () (+ @t88 @t125)) % 52.41/52.60 (define @t127 () (>= @t126 0)) % 52.41/52.60 (define @t128 () (<= 0 -1)) % 52.41/52.60 (define @t129 () (* -1 0)) % 52.41/52.60 (define @t130 () (+ @t129 -1)) % 52.41/52.60 (define @t131 () (* 0 @t88)) % 52.41/52.60 (define @t132 () (= @t131 0)) % 52.41/52.60 (define @t133 () (* 0 @t87)) % 52.41/52.60 (define @t134 () (= @t133 0)) % 52.41/52.60 (define @t135 () (+ @t133 @t131)) % 52.41/52.60 (define @t136 () (* -1 @t126)) % 52.41/52.60 (define @t137 () (+ @t136 @t126)) % 52.41/52.60 (define @t138 () (= (* 1 (- @t126 -1)) (* 1 (- @t88 @t122)))) % 52.41/52.60 (define @t139 () (= @t126 -1)) % 52.41/52.60 (define @t140 () (= @t139 @t123)) % 52.41/52.60 (define @t141 () (< -1 0)) % 52.41/52.60 (define @t142 () (not @t127)) % 52.41/52.60 (define @t143 () (tptp.intersection @t69 tptp.empty_set)) % 52.41/52.60 (define @t144 () (forall @t5 (not (tptp.member @t3 @t143)))) % 52.41/52.60 (define @t145 () (= tptp.empty_set @t143)) % 52.41/52.60 (define @t146 () (= @t144 @t145)) % 52.41/52.60 (define @t147 () (= @t145 @t144)) % 52.41/52.60 (define @t148 () (@quantifiers_skolemize @t144 0)) % 52.41/52.60 (define @t149 () (tptp.member @t148 tptp.empty_set)) % 52.41/52.60 (define @t150 () (and (tptp.member @t148 @t69) @t149)) % 52.41/52.60 (define @t151 () (not @t150)) % 52.41/52.60 (define @t152 () (tptp.member @t148 @t143)) % 52.41/52.60 (define @t153 () (= @t152 @t150)) % 52.41/52.60 (define @t154 () (not @t152)) % 52.41/52.60 (define @t155 () (not @t144)) % 52.41/52.60 (define @t156 () (not @t154)) % 52.41/52.60 (define @t157 () (tptp.cardinality (tptp.union @t69 tptp.empty_set))) % 52.41/52.60 (define @t158 () (+ -1 @t157)) % 52.41/52.60 (define @t159 () (= @t88 @t158)) % 52.41/52.60 (define @t160 () (= @t145 @t159)) % 52.41/52.60 (define @t161 () (not @t145)) % 52.41/52.60 (define @t162 () (+ @t89 @t157)) % 52.41/52.60 (define @t163 () (tptp.cardinality @t69)) % 52.41/52.60 (define @t164 () (- @t163 @t162)) % 52.41/52.60 (define @t165 () (+ @t163 @t88)) % 52.41/52.60 (define @t166 () (= @t163 @t162)) % 52.41/52.60 (define @t167 () (= @t157 @t165)) % 52.41/52.60 (define @t168 () (= @t167 @t145)) % 52.41/52.60 (define @t169 () (= @t145 @t166)) % 52.41/52.60 (define @t170 () (tptp.intersection @t75 tptp.empty_set)) % 52.41/52.60 (define @t171 () (forall @t5 (not (tptp.member @t3 @t170)))) % 52.41/52.60 (define @t172 () (= tptp.empty_set @t170)) % 52.41/52.60 (define @t173 () (= @t171 @t172)) % 52.41/52.60 (define @t174 () (= @t172 @t171)) % 52.41/52.60 (define @t175 () (@quantifiers_skolemize @t171 0)) % 52.41/52.60 (define @t176 () (tptp.member @t175 tptp.empty_set)) % 52.41/52.60 (define @t177 () (and (tptp.member @t175 @t75) @t176)) % 52.41/52.60 (define @t178 () (not @t177)) % 52.41/52.60 (define @t179 () (tptp.member @t175 @t170)) % 52.41/52.60 (define @t180 () (= @t179 @t177)) % 52.41/52.60 (define @t181 () (not @t179)) % 52.41/52.60 (define @t182 () (not @t171)) % 52.41/52.60 (define @t183 () (not @t181)) % 52.41/52.60 (define @t184 () (tptp.cardinality (tptp.union @t75 tptp.empty_set))) % 52.41/52.60 (define @t185 () (+ -1 @t184)) % 52.41/52.60 (define @t186 () (= @t88 @t185)) % 52.41/52.60 (define @t187 () (= @t172 @t186)) % 52.41/52.60 (define @t188 () (not @t172)) % 52.41/52.60 (define @t189 () (+ @t89 @t184)) % 52.41/52.60 (define @t190 () (tptp.cardinality @t75)) % 52.41/52.60 (define @t191 () (- @t190 @t189)) % 52.41/52.60 (define @t192 () (+ @t190 @t88)) % 52.41/52.60 (define @t193 () (= @t190 @t189)) % 52.41/52.60 (define @t194 () (= @t184 @t192)) % 52.41/52.60 (define @t195 () (= @t194 @t172)) % 52.41/52.60 (define @t196 () (= @t172 @t193)) % 52.41/52.60 (define @t197 () (tptp.cardinality @t73)) % 52.41/52.60 (define @t198 () (+ @t197 (* -1 @t91))) % 52.41/52.60 (define @t199 () (tptp.cardinality @t72)) % 52.41/52.60 (define @t200 () (= @t199 @t198)) % 52.41/52.60 (define @t201 () (tptp.intersection @t72 @t71)) % 52.41/52.60 (define @t202 () (= tptp.empty_set @t201)) % 52.41/52.60 (define @t203 () (- @t199 @t198)) % 52.41/52.60 (define @t204 () (+ @t199 @t91)) % 52.41/52.60 (define @t205 () (= @t197 @t204)) % 52.41/52.60 (define @t206 () (= @t205 @t202)) % 52.41/52.60 (define @t207 () (= @t202 @t200)) % 52.41/52.60 (define @t208 () (forall @t5 (not (tptp.member @t3 @t201)))) % 52.41/52.60 (define @t209 () (= @t208 @t202)) % 52.41/52.60 (define @t210 () (= @t202 @t208)) % 52.41/52.60 (define @t211 () (@quantifiers_skolemize @t208 0)) % 52.41/52.60 (define @t212 () (tptp.member @t211 @t71)) % 52.41/52.60 (define @t213 () (tptp.member @t211 @t72)) % 52.41/52.60 (define @t214 () (and @t213 @t212)) % 52.41/52.60 (define @t215 () (not @t214)) % 52.41/52.60 (define @t216 () (= @t212 (= @t211 @t70))) % 52.41/52.60 (define @t217 () (= @t70 @t211)) % 52.41/52.60 (define @t218 () (= @t212 @t217)) % 52.41/52.60 (define @t219 () (@list @t11)) % 52.41/52.60 (define @t220 () (@quantifiers_skolemize @t67 1)) % 52.41/52.60 (define @t221 () (not @t52)) % 52.41/52.60 (define @t222 () (not @t54)) % 52.41/52.60 (define @t223 () (not @t56)) % 52.41/52.60 (define @t224 () (or @t65 @t223 @t222 @t221)) % 52.41/52.60 (define @t225 () (tptp.subset @t72 @t220)) % 52.41/52.60 (define @t226 () (+ 3 @t199)) % 52.41/52.60 (define @t227 () (tptp.cardinality (tptp.union @t76 @t75))) % 52.41/52.60 (define @t228 () (= @t227 @t226)) % 52.41/52.60 (define @t229 () (tptp.union @t220 @t71)) % 52.41/52.60 (define @t230 () (tptp.member @t74 (tptp.union @t229 @t69))) % 52.41/52.60 (define @t231 () (tptp.member @t68 @t229)) % 52.41/52.60 (define @t232 () (tptp.member @t70 @t220)) % 52.41/52.60 (define @t233 () (not @t225)) % 52.41/52.60 (define @t234 () (or @t233 @t232 @t231 @t230 @t228)) % 52.41/52.60 (define @t235 () (@list @t234)) % 52.41/52.60 (define @t236 () (forall @t5 (or (not (tptp.member @t3 @t72)) (tptp.member @t3 @t220)))) % 52.41/52.60 (define @t237 () (= @t225 @t236)) % 52.41/52.60 (define @t238 () (tptp.member @t70 @t72)) % 52.41/52.60 (define @t239 () (not @t238)) % 52.41/52.60 (define @t240 () (or @t239 @t232)) % 52.41/52.60 (define @t241 () (not @t217)) % 52.41/52.60 (define @t242 () (not @t213)) % 52.41/52.60 (define @t243 () (= true false)) % 52.41/52.60 (define @t244 () (and @t239 @t217 @t213)) % 52.41/52.60 (define @t245 () (@list true false false false false)) % 52.41/52.60 (define @t246 () (tptp.member @t211 @t201)) % 52.41/52.60 (define @t247 () (= @t246 @t214)) % 52.41/52.60 (define @t248 () (not @t246)) % 52.41/52.60 (define @t249 () (not @t208)) % 52.41/52.60 (define @t250 () (not @t248)) % 52.41/52.60 (define @t251 () (tptp.cardinality @t76)) % 52.41/52.60 (define @t252 () (+ (* -1 @t163) @t251)) % 52.41/52.60 (define @t253 () (= @t197 @t252)) % 52.41/52.60 (define @t254 () (tptp.intersection @t73 @t69)) % 52.41/52.60 (define @t255 () (= tptp.empty_set @t254)) % 52.41/52.60 (define @t256 () (- @t197 @t252)) % 52.41/52.60 (define @t257 () (+ @t197 @t163)) % 52.41/52.60 (define @t258 () (= @t251 @t257)) % 52.41/52.60 (define @t259 () (= @t258 @t255)) % 52.41/52.60 (define @t260 () (= @t255 @t253)) % 52.41/52.60 (define @t261 () (forall @t5 (not (tptp.member @t3 @t254)))) % 52.41/52.60 (define @t262 () (= @t261 @t255)) % 52.41/52.60 (define @t263 () (= @t255 @t261)) % 52.41/52.60 (define @t264 () (@quantifiers_skolemize @t261 0)) % 52.41/52.60 (define @t265 () (tptp.member @t264 @t69)) % 52.41/52.60 (define @t266 () (tptp.member @t264 @t73)) % 52.41/52.60 (define @t267 () (and @t266 @t265)) % 52.41/52.60 (define @t268 () (not @t267)) % 52.41/52.60 (define @t269 () (= @t265 (= @t264 @t68))) % 52.41/52.60 (define @t270 () (= @t68 @t264)) % 52.41/52.60 (define @t271 () (= @t265 @t270)) % 52.41/52.60 (define @t272 () (tptp.member @t68 @t71)) % 52.41/52.60 (define @t273 () (tptp.member @t68 @t220)) % 52.41/52.60 (define @t274 () (or @t273 @t272)) % 52.41/52.60 (define @t275 () (= @t231 @t274)) % 52.41/52.60 (define @t276 () (not @t274)) % 52.41/52.60 (define @t277 () (@list @t274)) % 52.41/52.60 (define @t278 () (tptp.member @t68 @t72)) % 52.41/52.60 (define @t279 () (not @t278)) % 52.41/52.60 (define @t280 () (or @t279 @t273)) % 52.41/52.60 (define @t281 () (or @t278 @t272)) % 52.41/52.60 (define @t282 () (not @t281)) % 52.41/52.60 (define @t283 () (@list true true)) % 52.41/52.60 (define @t284 () (tptp.member @t68 @t73)) % 52.41/52.60 (define @t285 () (= @t284 @t281)) % 52.41/52.60 (define @t286 () (not @t284)) % 52.41/52.60 (define @t287 () (not @t270)) % 52.41/52.60 (define @t288 () (not @t266)) % 52.41/52.60 (define @t289 () (and @t286 @t270 @t266)) % 52.41/52.60 (define @t290 () (tptp.member @t264 @t254)) % 52.41/52.60 (define @t291 () (= @t290 @t267)) % 52.41/52.60 (define @t292 () (not @t290)) % 52.41/52.60 (define @t293 () (not @t261)) % 52.41/52.60 (define @t294 () (not @t292)) % 52.41/52.60 (define @t295 () (* -1 @t199)) % 52.41/52.60 (define @t296 () (+ @t227 @t295)) % 52.41/52.60 (define @t297 () (>= @t296 3)) % 52.41/52.60 (define @t298 () (not @t193)) % 52.41/52.60 (define @t299 () (not @t186)) % 52.41/52.60 (define @t300 () (not @t166)) % 52.41/52.60 (define @t301 () (not @t159)) % 52.41/52.60 (define @t302 () (not @t94)) % 52.41/52.60 (define @t303 () (+ @t251 @t190)) % 52.41/52.60 (define @t304 () (= @t227 @t303)) % 52.41/52.60 (define @t305 () (not @t304)) % 52.41/52.60 (define @t306 () (not @t253)) % 52.41/52.60 (define @t307 () (not @t200)) % 52.41/52.60 (define @t308 () (not @t297)) % 52.41/52.60 (define @t309 () (* -1 @t190)) % 52.41/52.60 (define @t310 () (* -1 @t251)) % 52.41/52.60 (define @t311 () (+ @t227 @t310 @t309)) % 52.41/52.60 (define @t312 () (= @t311 0)) % 52.41/52.60 (define @t313 () (not true)) % 52.41/52.60 (define @t314 () (>= 0 0)) % 52.41/52.60 (define @t315 () (+ @t129 0 @t129 -1 @t129 -1 0 0 @t129 2)) % 52.41/52.60 (define @t316 () (* -1 @t197)) % 52.41/52.60 (define @t317 () (* 0 @t227)) % 52.41/52.60 (define @t318 () (= @t317 0)) % 52.41/52.60 (define @t319 () (* 0 @t91)) % 52.41/52.60 (define @t320 () (= @t319 0)) % 52.41/52.60 (define @t321 () (* 0 @t163)) % 52.41/52.60 (define @t322 () (= @t321 0)) % 52.41/52.60 (define @t323 () (* 0 @t251)) % 52.41/52.60 (define @t324 () (= @t323 0)) % 52.41/52.60 (define @t325 () (* 0 @t157)) % 52.41/52.60 (define @t326 () (= @t325 0)) % 52.41/52.60 (define @t327 () (* 0 @t184)) % 52.41/52.60 (define @t328 () (= @t327 0)) % 52.41/52.60 (define @t329 () (+ @t327 @t325 @t133 @t131 @t190 @t323 @t316 @t309 @t321 @t319 @t197 @t295 @t199 @t317)) % 52.41/52.60 (define @t330 () (* -1 @t184)) % 52.41/52.60 (define @t331 () (+ @t190 @t88 @t330)) % 52.41/52.60 (define @t332 () (* -1 @t331)) % 52.41/52.60 (define @t333 () (+ @t199 @t316 @t91)) % 52.41/52.60 (define @t334 () (+ @t197 @t163 @t310)) % 52.41/52.60 (define @t335 () (* -1 @t157)) % 52.41/52.60 (define @t336 () (+ @t88 @t335)) % 52.41/52.60 (define @t337 () (+ @t163 @t88 @t335)) % 52.41/52.60 (define @t338 () (+ @t88 @t330)) % 52.41/52.60 (define @t339 () (+ @t91 @t88 @t125)) % 52.41/52.60 (define @t340 () (+ (* -1 @t311) @t126 (* -1 @t339) @t338 (* -1 @t337) @t336 @t334 @t333 @t332 @t296)) % 52.41/52.60 (define @t341 () (>= @t340 @t315)) % 52.41/52.60 (define @t342 () (= @t331 0)) % 52.41/52.60 (define @t343 () (= (* 1 (- @t331 0)) (* 1 @t191))) % 52.41/52.60 (define @t344 () (= @t342 @t193)) % 52.41/52.60 (define @t345 () (= (* 1 (- @t333 0)) (* 1 @t203))) % 52.41/52.60 (define @t346 () (= @t333 0)) % 52.41/52.60 (define @t347 () (= @t346 @t200)) % 52.41/52.60 (define @t348 () (= (* 1 (- @t334 0)) (* 1 @t256))) % 52.41/52.60 (define @t349 () (= @t334 0)) % 52.41/52.60 (define @t350 () (= @t349 @t253)) % 52.41/52.60 (define @t351 () (= (* 1 (- @t336 -1)) (* 1 (- @t88 @t158)))) % 52.41/52.60 (define @t352 () (= @t336 -1)) % 52.41/52.60 (define @t353 () (= @t352 @t159)) % 52.41/52.60 (define @t354 () (= @t337 0)) % 52.41/52.60 (define @t355 () (= (* 1 (- @t337 0)) (* 1 @t164))) % 52.41/52.60 (define @t356 () (= @t354 @t166)) % 52.41/52.60 (define @t357 () (= (* 1 (- @t338 -1)) (* 1 (- @t88 @t185)))) % 52.41/52.60 (define @t358 () (= @t338 -1)) % 52.41/52.60 (define @t359 () (= @t358 @t186)) % 52.41/52.60 (define @t360 () (= @t339 0)) % 52.41/52.60 (define @t361 () (= (* 1 (- @t339 0)) (* 1 @t92))) % 52.41/52.60 (define @t362 () (= @t360 @t94)) % 52.41/52.60 (define @t363 () (= (* 1 (- @t311 0)) (* 1 (- @t227 @t303)))) % 52.41/52.60 (define @t364 () (= @t312 @t304)) % 52.41/52.60 (define @t365 () (and @t308 @t193 @t200 @t253 @t159 @t166 @t186 @t94 @t142 @t304)) % 52.41/52.60 (define @t366 () (not @t228)) % 52.41/52.60 (define @t367 () (>= @t331 1)) % 52.41/52.60 (define @t368 () (* -1 1)) % 52.41/52.60 (define @t369 () (+ @t368 0)) % 52.41/52.60 (define @t370 () (* 0 @t190)) % 52.41/52.60 (define @t371 () (+ @t327 @t131 @t370)) % 52.41/52.60 (define @t372 () (+ @t332 @t331)) % 52.41/52.60 (define @t373 () (not @t367)) % 52.41/52.60 (define @t374 () (not @t123)) % 52.41/52.60 (define @t375 () (>= @t296 4)) % 52.41/52.60 (define @t376 () (* -1 -1)) % 52.41/52.60 (define @t377 () (* -1 4)) % 52.41/52.60 (define @t378 () (+ @t377 @t376 0 @t376 0 @t376 @t129 @t129 0 1)) % 52.41/52.60 (define @t379 () (+ @t327 @t325 @t133 @t131 @t309 @t323 @t197 @t190 @t321 @t319 @t316 @t199 @t295 @t317)) % 52.41/52.60 (define @t380 () (+ (* -1 @t296) @t136 @t339 (* -1 @t338) @t337 (* -1 @t336) (* -1 @t334) (* -1 @t333) @t311 @t331)) % 52.41/52.60 (define @t381 () (>= @t380 @t378)) % 52.41/52.60 (define @t382 () (= @t296 3)) % 52.41/52.60 (define @t383 () (and @t373 @t304 @t200 @t253 @t159 @t166 @t186 @t94 @t123 @t366 @t297)) % 52.41/52.60 (define @t384 () (= @t304 @t80)) % 52.41/52.60 (define @t385 () (not @t80)) % 52.41/52.60 (define @t386 () (not @t78)) % 52.41/52.60 (define @t387 () (tptp.member @t79 @t77)) % 52.41/52.60 (define @t388 () (not @t387)) % 52.41/52.60 (define @t389 () (not @t388)) % 52.41/52.60 (define @t390 () (tptp.member @t79 @t75)) % 52.41/52.60 (define @t391 () (tptp.member @t79 @t76)) % 52.41/52.60 (define @t392 () (and @t391 @t390)) % 52.41/52.60 (define @t393 () (= @t387 @t392)) % 52.41/52.60 (define @t394 () (not @t392)) % 52.41/52.60 (define @t395 () (@list @t392)) % 52.41/52.60 (define @t396 () (tptp.member @t79 @t69)) % 52.41/52.60 (define @t397 () (tptp.member @t79 @t73)) % 52.41/52.60 (define @t398 () (or @t397 @t396)) % 52.41/52.60 (define @t399 () (= @t391 @t398)) % 52.41/52.60 (define @t400 () (tptp.member @t74 @t69)) % 52.41/52.60 (define @t401 () (tptp.member @t74 @t229)) % 52.41/52.60 (define @t402 () (or @t401 @t400)) % 52.41/52.60 (define @t403 () (= @t230 @t402)) % 52.41/52.60 (define @t404 () (not @t402)) % 52.41/52.60 (define @t405 () (@list @t402)) % 52.41/52.60 (define @t406 () (tptp.member @t74 @t71)) % 52.41/52.60 (define @t407 () (tptp.member @t74 @t220)) % 52.41/52.60 (define @t408 () (or @t407 @t406)) % 52.41/52.60 (define @t409 () (= @t401 @t408)) % 52.41/52.60 (define @t410 () (not @t408)) % 52.41/52.60 (define @t411 () (@list @t408)) % 52.41/52.60 (define @t412 () (tptp.member @t74 @t72)) % 52.41/52.60 (define @t413 () (not @t412)) % 52.41/52.60 (define @t414 () (or @t413 @t407)) % 52.41/52.60 (define @t415 () (or @t412 @t406)) % 52.41/52.60 (define @t416 () (not @t415)) % 52.41/52.60 (define @t417 () (tptp.member @t74 @t73)) % 52.41/52.60 (define @t418 () (= @t417 @t415)) % 52.41/52.60 (define @t419 () (not @t417)) % 52.41/52.60 (define @t420 () (= @t390 (= @t79 @t74))) % 52.41/52.60 (define @t421 () (= @t74 @t79)) % 52.41/52.60 (define @t422 () (= @t390 @t421)) % 52.41/52.60 (define @t423 () (not @t397)) % 52.41/52.60 (define @t424 () (not @t421)) % 52.41/52.60 (define @t425 () (and @t421 @t419)) % 52.41/52.60 (define @t426 () (not @t400)) % 52.41/52.60 (define @t427 () (not @t396)) % 52.41/52.60 (define @t428 () (and @t426 @t421)) % 52.41/52.60 (assume @p1 @t9) % 52.41/52.60 (assume @p2 @t11) % 52.41/52.60 (assume @p3 @t20) % 52.41/52.60 (assume @p4 (forall @t22 (= (tptp.member @t3 @t21) (and @t15 @t13)))) % 52.41/52.60 (assume @p5 (forall @t22 (= (tptp.member @t3 @t23) (or @t15 @t13)))) % 52.41/52.60 (assume @p6 (forall (@list @t24 @t14 @t25) (= (tptp.member @t24 (tptp.difference @t25 @t14)) (and (tptp.member @t24 @t25) (not (tptp.member @t24 @t14)))))) % 52.41/52.60 (assume @p7 (forall @t26 (= @t4 (not (tptp.member @t3 (tptp.complement @t1)))))) % 52.41/52.60 (assume @p8 (forall @t8 (= (= @t27 0) @t2))) % 52.41/52.60 (assume @p9 (forall @t26 (= (= @t30 @t28) (= @t29 @t27)))) % 52.41/52.60 (assume @p10 @t34) % 52.41/52.60 (assume @p11 (forall (@list @t1 @t35) (= (= (tptp.cardinality @t36) 0) (= @t36 tptp.empty_set)))) % 52.41/52.60 (assume @p12 @t39) % 52.41/52.60 (assume @p13 @t62) % 52.41/52.60 (assume @p14 true) % 52.41/52.60 (step @p15 :rule instantiate :premises (@p5) :args ((@list @t79 @t73 @t69))) % 52.41/52.60 (step @p16 :rule instantiate :premises (@p4) :args ((@list @t79 @t76 @t75))) % 52.41/52.60 (step @p17 :rule eq-symm :args (@t1 tptp.empty_set)) % 52.41/52.60 (step @p18 :rule refl :args (@t6)) % 52.41/52.60 (step @p19 :rule cong :premises (@p18 @p17) :args (@t7)) % 52.41/52.60 (step @p20 :rule cong :premises (@p19) :args (@t9)) % 52.41/52.60 (step @p21 :rule eq_resolve :premises (@p1 @p20)) % 52.41/52.60 (step @p22 :rule eq-symm :args (@t78 @t80)) % 52.41/52.60 (step @p23 :rule refl :args (@t81)) % 52.41/52.60 (step @p24 :rule cong :premises (@p23 @p22) :args ((=> @t81 @t82))) % 52.41/52.60 (assume-push @p971 @t81) % 52.41/52.60 (step @p26 :rule instantiate :premises (@p21) :args ((@list @t77))) % 52.41/52.60 (step-pop @p972 :rule scope :premises (@p26)) % 52.41/52.60 (step @p27 :rule process_scope :premises (@p972) :args (@t82)) % 52.41/52.60 (step @p29 :rule eq_resolve :premises (@p27 @p24)) % 52.41/52.60 (step @p30 :rule implies_elim :premises (@p29)) % 52.41/52.60 (step @p31 :rule chain_m_resolution :premises (@p30 @p21) :args (@t83 @t84 @t85)) % 52.41/52.60 (step @p32 :rule eq-symm :args (@t86 @t37)) % 52.41/52.60 (step @p33 :rule refl :args (@t37)) % 52.41/52.60 (step @p34 :rule eq-symm :args (@t21 tptp.empty_set)) % 52.41/52.60 (step @p35 :rule cong :premises (@p34 @p33) :args (@t38)) % 52.41/52.60 (step @p36 :rule trans :premises (@p35 @p32)) % 52.41/52.60 (step @p37 :rule cong :premises (@p36) :args (@t39)) % 52.41/52.60 (step @p38 :rule eq_resolve :premises (@p12 @p37)) % 52.41/52.60 (step @p39 :rule instantiate :premises (@p38) :args ((@list @t76 @t75))) % 52.41/52.60 (step @p40 :rule arith_poly_norm :args ((= (* 1 (- @t87 @t93)) (* -1 @t92)))) % 52.41/52.60 (step @p41 :rule arith_poly_norm_rel :premises (@p40) :args ((= @t95 @t94))) % 52.41/52.60 (step @p42 :rule refl :args (@t97)) % 52.41/52.60 (step @p43 :rule cong :premises (@p42 @p41) :args ((= @t97 @t95))) % 52.41/52.60 (step @p44 :rule eq-symm :args (@t95 @t97)) % 52.41/52.60 (step @p45 :rule trans :premises (@p44 @p43)) % 52.41/52.60 (step @p46 :rule refl :args (@t98)) % 52.41/52.60 (step @p47 :rule cong :premises (@p46 @p45) :args ((=> @t98 @t99))) % 52.41/52.60 (assume-push @p973 @t98) % 52.41/52.60 (step @p49 :rule instantiate :premises (@p38) :args ((@list @t71 tptp.empty_set))) % 52.41/52.60 (step-pop @p974 :rule scope :premises (@p49)) % 52.41/52.60 (step @p50 :rule process_scope :premises (@p974) :args (@t99)) % 52.41/52.60 (step @p52 :rule eq_resolve :premises (@p50 @p47)) % 52.41/52.60 (step @p53 :rule implies_elim :premises (@p52)) % 52.41/52.60 (step @p54 :rule chain_m_resolution :premises (@p53 @p38) :args (@t100 @t84 @t101)) % 52.41/52.60 (step @p55 :rule eq-symm :args (@t102 @t97)) % 52.41/52.60 (step @p56 :rule cong :premises (@p23 @p55) :args ((=> @t81 @t103))) % 52.41/52.60 (assume-push @p975 @t81) % 52.41/52.60 (step @p58 :rule instantiate :premises (@p21) :args ((@list @t96))) % 52.41/52.60 (step-pop @p976 :rule scope :premises (@p58)) % 52.41/52.60 (step @p59 :rule process_scope :premises (@p976) :args (@t103)) % 52.41/52.60 (step @p61 :rule eq_resolve :premises (@p59 @p56)) % 52.41/52.60 (step @p62 :rule implies_elim :premises (@p61)) % 52.41/52.60 (step @p63 :rule chain_m_resolution :premises (@p62 @p21) :args (@t104 @t84 @t85)) % 52.41/52.60 (step @p64 :rule instantiate :premises (@p4) :args ((@list @t105 @t71 tptp.empty_set))) % 52.41/52.60 (step @p65 :rule bool-eq-true :args (@t106)) % 52.41/52.60 (step @p66 :rule eq-refl :args (tptp.empty_set)) % 52.41/52.60 (step @p67 :rule refl :args (@t106)) % 52.41/52.60 (step @p68 :rule cong :premises (@p67 @p66) :args (@t107)) % 52.41/52.60 (step @p69 :rule trans :premises (@p68 @p65)) % 52.41/52.60 (step @p70 :rule cong :premises (@p23 @p69) :args ((=> @t81 @t107))) % 52.41/52.60 (assume-push @p977 @t81) % 52.41/52.60 (step @p72 :rule instantiate :premises (@p21) :args ((@list tptp.empty_set))) % 52.41/52.60 (step-pop @p978 :rule scope :premises (@p72)) % 52.41/52.60 (step @p73 :rule process_scope :premises (@p978) :args (@t107)) % 52.41/52.60 (step @p75 :rule eq_resolve :premises (@p73 @p70)) % 52.41/52.60 (step @p76 :rule implies_elim :premises (@p75)) % 52.41/52.60 (step @p77 :rule chain_m_resolution :premises (@p76 @p21) :args (@t106 @t84 @t85)) % 52.41/52.60 (step @p78 :rule instantiate :premises (@p77) :args ((@list @t105))) % 52.41/52.60 (step @p79 :rule cnf_and_pos :args (@t109 1)) % 52.41/52.60 (step @p80 :rule reordering :premises (@p79) :args ((or @t108 @t110))) % 52.41/52.60 (step @p81 :rule chain_m_resolution :premises (@p80 @p78) :args (@t110 @t111 (@list @t108))) % 52.41/52.60 (step @p82 :rule cnf_equiv_pos1 :args (@t113)) % 52.41/52.60 (step @p83 :rule reordering :premises (@p82) :args ((or @t114 @t109 (not @t113)))) % 52.41/52.60 (step @p84 :rule chain_m_resolution :premises (@p83 @p81 @p64) :args (@t114 @t115 (@list @t109 @t113))) % 52.41/52.60 (step @p85 :rule refl :args (@t112)) % 52.41/52.60 (step @p86 :rule bool-double-not-elim :args (@t102)) % 52.41/52.60 (step @p87 :rule nary_cong :premises (@p86 @p85) :args ((or (not @t116) @t112))) % 52.41/52.60 (step @p88 :rule bool-double-not-elim :args (@t112)) % 52.41/52.60 (step @p89 :rule refl :args (@t116)) % 52.41/52.60 (step @p90 :rule cong :premises (@p89 @p88) :args ((=> @t116 @t117))) % 52.41/52.60 (assume-push @p979 @t116) % 52.41/52.60 (step @p92 :rule skolemize :premises (@p979)) % 52.41/52.60 (step-pop @p980 :rule scope :premises (@p92)) % 52.41/52.60 (step @p93 :rule process_scope :premises (@p980) :args (@t117)) % 52.41/52.60 (step @p95 :rule eq_resolve :premises (@p93 @p90)) % 52.41/52.60 (step @p96 :rule implies_elim :premises (@p95)) % 52.41/52.60 (step @p97 :rule eq_resolve :premises (@p96 @p87)) % 52.41/52.60 (step @p98 :rule chain_m_resolution :premises (@p97 @p84) :args (@t102 @t111 (@list @t112))) % 52.41/52.60 (step @p99 :rule cnf_equiv_pos2 :args (@t104)) % 52.41/52.60 (step @p100 :rule reordering :premises (@p99) :args ((or @t97 @t116 (not @t104)))) % 52.41/52.60 (step @p101 :rule chain_m_resolution :premises (@p100 @p98 @p63) :args (@t97 @t118 (@list @t102 @t104))) % 52.41/52.60 (step @p102 :rule cnf_equiv_pos1 :args (@t100)) % 52.41/52.60 (step @p103 :rule reordering :premises (@p102) :args ((or @t119 @t94 (not @t100)))) % 52.41/52.60 (step @p104 :rule chain_m_resolution :premises (@p103 @p101 @p54) :args (@t94 @t118 (@list @t97 @t100))) % 52.41/52.60 (step @p105 :rule arith_poly_norm :args ((= (* 1 (- @t29 @t121)) (* -1 (- @t27 @t120))))) % 52.41/52.60 (step @p106 :rule arith_poly_norm_rel :premises (@p105) :args ((= (= @t29 @t121) (= @t27 @t120)))) % 52.41/52.60 (step @p107 :rule arith_poly_norm :args ((= @t31 @t121))) % 52.41/52.60 (step @p108 :rule refl :args (@t29)) % 52.41/52.60 (step @p109 :rule cong :premises (@p108 @p107) :args (@t32)) % 52.41/52.60 (step @p110 :rule trans :premises (@p109 @p106)) % 52.41/52.60 (step @p111 :rule eq-symm :args (@t30 tptp.empty_set)) % 52.41/52.60 (step @p112 :rule cong :premises (@p111 @p110) :args (@t33)) % 52.41/52.60 (step @p113 :rule cong :premises (@p112) :args (@t34)) % 52.41/52.60 (step @p114 :rule eq_resolve :premises (@p10 @p113)) % 52.41/52.60 (step @p115 :rule instantiate :premises (@p114) :args ((@list @t70 tptp.empty_set))) % 52.41/52.60 (step @p116 :rule cnf_equiv_pos1 :args (@t124)) % 52.41/52.60 (step @p117 :rule reordering :premises (@p116) :args ((or @t123 @t119 (not @t124)))) % 52.41/52.60 (step @p118 :rule chain_m_resolution :premises (@p117 @p101 @p115) :args (@t123 @t118 (@list @t97 @t124))) % 52.41/52.60 (assume-push @p981 @t123) % 52.41/52.60 (assume-push @p982 @t123) % 52.41/52.60 (step @p121 :rule arith-elim-lt :args (@t126 0)) % 52.41/52.60 (step @p122 :rule symm :premises (@p121)) % 52.41/52.60 (assume-push @p983 @t127) % 52.41/52.60 (step @p124 :rule 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@p626 :rule arith_poly_norm_rel :premises (@p625) :args (@t359)) % 52.41/52.60 (step @p627 :rule symm :premises (@p626)) % 52.41/52.60 (step @p774 :rule eq_resolve :premises (@p1093 @p627)) % 52.41/52.60 (step @p775 :rule and_intro :premises (@p145 @p774)) % 52.41/52.60 (step @p776 :rule modus_ponens :premises (@p775 @p773)) % 52.41/52.60 (step @p630 :rule arith_poly_norm :args (@t361)) % 52.41/52.60 (step @p631 :rule arith_poly_norm_rel :premises (@p630) :args (@t362)) % 52.41/52.60 (step @p632 :rule symm :premises (@p631)) % 52.41/52.60 (step @p777 :rule eq_resolve :premises (@p1094 @p632)) % 52.41/52.60 (step @p778 :rule arith_mult_neg :args (-1 @t139)) % 52.41/52.60 (step @p139 :rule arith_poly_norm :args (@t138)) % 52.41/52.60 (step @p140 :rule arith_poly_norm_rel :premises (@p139) :args (@t140)) % 52.41/52.60 (step @p141 :rule symm :premises (@p140)) % 52.41/52.60 (step @p779 :rule eq_resolve :premises (@p1095 @p141)) % 52.41/52.60 (step @p780 :rule and_intro :premises (@p145 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(@p792) :args ((not @t382))) % 52.41/52.60 (step @p794 :rule symm :premises (@p793)) % 52.41/52.60 (step @p795 :rule eq_resolve :premises (@p687 @p794)) % 52.41/52.60 (step @p796 :rule arith_trichotomy :premises (@p795 @p1097)) % 52.41/52.60 (step @p797 :rule int_tight_lb :premises (@p796)) % 52.41/52.60 (step @p798 false :rule contra :premises (@p797 @p790)) % 52.41/52.60 (step-pop @p1100 :rule scope :premises (@p798)) % 52.41/52.60 (step-pop @p1101 :rule scope :premises (@p1100)) % 52.41/52.60 (step-pop @p1102 :rule scope :premises (@p1101)) % 52.41/52.60 (step-pop @p1103 :rule scope :premises (@p1102)) % 52.41/52.60 (step-pop @p1104 :rule scope :premises (@p1103)) % 52.41/52.60 (step-pop @p1105 :rule scope :premises (@p1104)) % 52.41/52.60 (step-pop @p1106 :rule scope :premises (@p1105)) % 52.41/52.60 (step-pop @p1107 :rule scope :premises (@p1106)) % 52.41/52.60 (step-pop @p1108 :rule scope :premises (@p1107)) % 52.41/52.60 (step-pop @p1109 :rule scope :premises (@p1108)) % 52.41/52.60 (step-pop @p1110 :rule scope :premises (@p1109)) % 52.41/52.60 (step @p799 :rule process_scope :premises (@p1110) :args (false)) % 52.41/52.60 (assume-push @p1111 @t366) % 52.41/52.60 (assume-push @p1112 @t200) % 52.41/52.60 (assume-push @p1113 @t253) % 52.41/52.60 (assume-push @p1114 @t304) % 52.41/52.60 (assume-push @p1115 @t123) % 52.41/52.60 (assume-push @p1116 @t94) % 52.41/52.60 (assume-push @p1117 @t159) % 52.41/52.60 (assume-push @p1118 @t166) % 52.41/52.60 (assume-push @p1119 @t186) % 52.41/52.60 (assume-push @p1120 @t373) % 52.41/52.60 (assume-push @p1121 @t297) % 52.41/52.60 (step @p822 :rule and_intro :premises (@p1120 @p1114 @p1112 @p1113 @p1117 @p1118 @p1119 @p1116 @p1115 @p687 @p1121)) % 52.41/52.60 (step-pop @p1122 :rule scope :premises (@p822)) % 52.41/52.60 (step-pop @p1123 :rule scope :premises (@p1122)) % 52.41/52.60 (step-pop @p1124 :rule scope :premises (@p1123)) % 52.41/52.60 (step-pop @p1125 :rule scope :premises (@p1124)) % 52.41/52.60 (step-pop @p1126 :rule scope :premises (@p1125)) % 52.41/52.60 (step-pop @p1127 :rule scope :premises (@p1126)) % 52.41/52.60 (step-pop @p1128 :rule scope :premises (@p1127)) % 52.41/52.60 (step-pop @p1129 :rule scope :premises (@p1128)) % 52.41/52.60 (step-pop @p1130 :rule scope :premises (@p1129)) % 52.41/52.60 (step-pop @p1131 :rule scope :premises (@p1130)) % 52.41/52.60 (step-pop @p1132 :rule scope :premises (@p1131)) % 52.41/52.60 (step @p823 :rule process_scope :premises (@p1132) :args (@t383)) % 52.41/52.60 (step @p835 :rule implies_elim :premises (@p823)) % 52.41/52.60 (step @p836 :rule resolution :premises (@p835 @p799) :args (true @t383)) % 52.41/52.60 (step @p837 :rule not_and :premises (@p836)) % 52.41/52.60 (step @p838 :rule eq_resolve :premises (@p837 @p726)) % 52.41/52.60 (step @p839 :rule chain_m_resolution :premises (@p838 @p424 @p542 @p721 @p253 @p215 @p198 @p104 @p118 @p687 @p685 @p542 @p424 @p270 @p253 @p215 @p198 @p160 @p104) :args (@t305 (@list false false true false false false false false true false false false false false false false true false) (@list @t200 @t253 @t367 @t186 @t166 @t159 @t94 @t123 @t228 @t297 @t253 @t200 @t193 @t186 @t166 @t159 @t127 @t94))) % 52.41/52.60 (step @p840 :rule cnf_equiv_pos2 :args (@t384)) % 52.41/52.60 (step @p841 :rule reordering :premises (@p840) :args ((or @t304 @t385 (not @t384)))) % 52.41/52.60 (step @p842 :rule chain_m_resolution :premises (@p841 @p839 @p39) :args (@t385 @t115 (@list @t304 @t384))) % 52.41/52.60 (step @p843 :rule cnf_equiv_pos2 :args (@t83)) % 52.41/52.60 (step @p844 :rule reordering :premises (@p843) :args ((or @t80 @t386 (not @t83)))) % 52.41/52.60 (step @p845 :rule chain_m_resolution :premises (@p844 @p842 @p31) :args (@t386 @t115 (@list @t80 @t83))) % 52.41/52.60 (step @p846 :rule refl :args (@t387)) % 52.41/52.60 (step @p847 :rule bool-double-not-elim :args (@t78)) % 52.41/52.60 (step @p848 :rule nary_cong :premises (@p847 @p846) :args ((or (not @t386) @t387))) % 52.41/52.60 (step @p849 :rule bool-double-not-elim :args (@t387)) % 52.41/52.60 (step @p850 :rule refl :args (@t386)) % 52.41/52.60 (step @p851 :rule cong :premises (@p850 @p849) :args ((=> @t386 @t389))) % 52.41/52.60 (assume-push @p1133 @t386) % 52.41/52.60 (step @p853 :rule skolemize :premises (@p1133)) % 52.41/52.60 (step-pop @p1134 :rule scope :premises (@p853)) % 52.41/52.60 (step @p854 :rule process_scope :premises (@p1134) :args (@t389)) % 52.41/52.60 (step @p856 :rule eq_resolve :premises (@p854 @p851)) % 52.41/52.60 (step @p857 :rule implies_elim :premises (@p856)) % 52.41/52.60 (step @p858 :rule eq_resolve :premises (@p857 @p848)) % 52.41/52.60 (step @p859 :rule chain_m_resolution :premises (@p858 @p845) :args (@t387 @t111 (@list @t78))) % 52.41/52.60 (step @p860 :rule cnf_equiv_pos1 :args (@t393)) % 52.41/52.60 (step @p861 :rule reordering :premises (@p860) :args ((or @t388 @t392 (not @t393)))) % 52.41/52.60 (step @p862 :rule chain_m_resolution :premises (@p861 @p859 @p16) :args (@t392 @t118 (@list @t387 @t393))) % 52.41/52.60 (step @p863 :rule cnf_and_pos :args (@t392 0)) % 52.41/52.60 (step @p864 :rule reordering :premises (@p863) :args ((or @t391 @t394))) % 52.41/52.60 (step @p865 :rule chain_m_resolution :premises (@p864 @p862) :args (@t391 @t84 @t395)) % 52.41/52.60 (step @p866 :rule cnf_equiv_pos1 :args (@t399)) % 52.41/52.60 (step @p867 :rule reordering :premises (@p866) :args ((or (not @t391) @t398 (not @t399)))) % 52.41/52.60 (step @p868 :rule chain_m_resolution :premises (@p867 @p865 @p15) :args (@t398 @t118 (@list @t391 @t399))) % 52.41/52.60 (step @p869 :rule instantiate :premises (@p5) :args ((@list @t74 @t72 @t71))) % 52.41/52.60 (step @p870 :rule instantiate :premises (@p362) :args ((@list @t74))) % 52.41/52.60 (step @p871 :rule instantiate :premises (@p5) :args ((@list @t74 @t220 @t71))) % 52.41/52.61 (step @p872 :rule instantiate :premises (@p5) :args ((@list @t74 @t229 @t69))) % 52.41/52.61 (step @p873 :rule cnf_or_neg :args (@t234 3)) % 52.41/52.61 (step @p874 :rule chain_m_resolution :premises (@p873 @p352) :args ((not @t230) @t111 @t235)) % 52.41/52.61 (step @p875 :rule cnf_equiv_pos2 :args (@t403)) % 52.41/52.61 (step @p876 :rule reordering :premises (@p875) :args ((or @t230 @t404 (not @t403)))) % 52.41/52.61 (step @p877 :rule chain_m_resolution :premises (@p876 @p874 @p872) :args (@t404 @t115 (@list @t230 @t403))) % 52.41/52.61 (step @p878 :rule cnf_or_neg :args (@t402 0)) % 52.41/52.61 (step @p879 :rule chain_m_resolution :premises (@p878 @p877) :args ((not @t401) @t111 @t405)) % 52.41/52.61 (step @p880 :rule cnf_equiv_pos2 :args (@t409)) % 52.41/52.61 (step @p881 :rule reordering :premises (@p880) :args ((or @t401 @t410 (not @t409)))) % 52.41/52.61 (step @p882 :rule chain_m_resolution :premises (@p881 @p879 @p871) :args (@t410 @t115 (@list @t401 @t409))) % 52.41/52.61 (step @p883 :rule cnf_or_neg :args (@t408 0)) % 52.41/52.61 (step @p884 :rule chain_m_resolution :premises (@p883 @p882) :args ((not @t407) @t111 @t411)) % 52.41/52.61 (step @p885 :rule cnf_or_pos :args (@t414)) % 52.41/52.61 (step @p886 :rule reordering :premises (@p885) :args ((or @t407 @t413 (not @t414)))) % 52.41/52.61 (step @p887 :rule chain_m_resolution :premises (@p886 @p884 @p870) :args (@t413 @t115 (@list @t407 @t414))) % 52.41/52.61 (step @p888 :rule cnf_or_neg :args (@t408 1)) % 52.41/52.61 (step @p889 :rule chain_m_resolution :premises (@p888 @p882) :args ((not @t406) @t111 @t411)) % 52.41/52.61 (step @p890 :rule cnf_or_pos :args (@t415)) % 52.41/52.61 (step @p891 :rule reordering :premises (@p890) :args ((or @t406 @t412 @t416))) % 52.41/52.61 (step @p892 :rule chain_m_resolution :premises (@p891 @p889 @p887) :args (@t416 @t283 (@list @t406 @t412))) % 52.41/52.61 (step @p893 :rule cnf_equiv_pos1 :args (@t418)) % 52.41/52.61 (step @p894 :rule reordering :premises (@p893) :args ((or @t415 @t419 (not @t418)))) % 52.41/52.61 (step @p895 :rule chain_m_resolution :premises (@p894 @p892 @p869) :args (@t419 @t115 (@list @t415 @t418))) % 52.41/52.61 (step @p896 :rule eq-symm :args (@t79 @t74)) % 52.41/52.61 (step @p897 :rule refl :args (@t390)) % 52.41/52.61 (step @p898 :rule cong :premises (@p897 @p896) :args (@t420)) % 52.41/52.61 (step @p899 :rule cong :premises (@p302 @p898) :args ((=> @t11 @t420))) % 52.41/52.61 (assume-push @p1135 @t11) % 52.41/52.61 (step @p901 :rule instantiate :premises (@p2) :args ((@list @t79 @t74))) % 52.41/52.61 (step-pop @p1136 :rule scope :premises (@p901)) % 52.41/52.61 (step @p902 :rule process_scope :premises (@p1136) :args (@t420)) % 52.41/52.61 (step @p904 :rule eq_resolve :premises (@p902 @p899)) % 52.41/52.61 (step @p905 :rule implies_elim :premises (@p904)) % 52.41/52.61 (step @p906 :rule chain_m_resolution :premises (@p905 @p2) :args (@t422 @t84 @t219)) % 52.41/52.61 (step @p907 :rule cnf_and_pos :args (@t392 1)) % 52.41/52.61 (step @p908 :rule reordering :premises (@p907) :args ((or @t390 @t394))) % 52.41/52.61 (step @p909 :rule chain_m_resolution :premises (@p908 @p862) :args (@t390 @t84 @t395)) % 52.41/52.61 (step @p910 :rule cnf_equiv_pos1 :args (@t422)) % 52.41/52.61 (step @p911 :rule reordering :premises (@p910) :args ((or (not @t390) @t421 (not @t422)))) % 52.41/52.61 (step @p912 :rule chain_m_resolution :premises (@p911 @p909 @p906) :args (@t421 @t118 (@list @t390 @t422))) % 52.41/52.61 (step @p913 :rule refl :args (@t423)) % 52.41/52.61 (step @p914 :rule bool-double-not-elim :args (@t417)) % 52.41/52.61 (step @p915 :rule refl :args (@t424)) % 52.41/52.61 (step @p916 :rule nary_cong :premises (@p915 @p914 @p913) :args ((or @t424 (not @t419) @t423))) % 52.41/52.61 (assume-push @p1137 @t421) % 52.41/52.61 (assume-push @p1138 @t419) % 52.41/52.61 (assume-push @p1139 @t419) % 52.41/52.61 (assume-push @p1140 @t421) % 52.41/52.61 (step @p921 :rule false_intro :premises (@p895)) % 52.41/52.61 (step @p495 :rule refl :args (@t73)) % 52.41/52.61 (step @p922 :rule symm :premises (@p1137)) % 52.41/52.61 (step @p923 :rule cong :premises (@p922 @p495) :args (@t397)) % 52.41/52.61 (step @p924 :rule trans :premises (@p923 @p921)) % 52.41/52.61 (step @p925 :rule false_elim :premises (@p924)) % 52.41/52.61 (step-pop @p1141 :rule scope :premises (@p925)) % 52.41/52.61 (step-pop @p1142 :rule scope :premises (@p1141)) % 52.41/52.61 (step @p926 :rule process_scope :premises (@p1142) :args (@t423)) % 52.41/52.61 (step @p929 :rule and_intro :premises (@p895 @p1137)) % 52.41/52.61 (step @p930 :rule modus_ponens :premises (@p929 @p926)) % 52.41/52.61 (step-pop @p1143 :rule scope :premises (@p930)) % 52.41/52.61 (step-pop @p1144 :rule scope :premises (@p1143)) % 52.41/52.61 (step @p931 :rule process_scope :premises (@p1144) :args (@t423)) % 52.41/52.61 (step @p934 :rule implies_elim :premises (@p931)) % 52.41/52.61 (step @p935 :rule cnf_and_neg :args (@t425)) % 52.41/52.61 (step @p936 :rule resolution :premises (@p935 @p934) :args (true @t425)) % 52.41/52.61 (step @p937 :rule eq_resolve :premises (@p936 @p916)) % 52.41/52.61 (step @p938 :rule reordering :premises (@p937) :args ((or @t424 @t423 @t417))) % 52.41/52.61 (step @p939 :rule chain_m_resolution :premises (@p938 @p912 @p895) :args (@t423 (@list false true) (@list @t421 @t417))) % 52.41/52.61 (step @p940 :rule cnf_or_neg :args (@t402 1)) % 52.41/52.61 (step @p941 :rule chain_m_resolution :premises (@p940 @p877) :args (@t426 @t111 @t405)) % 52.41/52.61 (step @p942 :rule refl :args (@t427)) % 52.41/52.61 (step @p943 :rule bool-double-not-elim :args (@t400)) % 52.41/52.61 (step @p944 :rule nary_cong :premises (@p943 @p915 @p942) :args ((or (not @t426) @t424 @t427))) % 52.41/52.61 (assume-push @p1145 @t426) % 52.41/52.61 (assume-push @p1146 @t421) % 52.41/52.61 (assume-push @p1147 @t426) % 52.41/52.61 (assume-push @p1148 @t421) % 52.41/52.61 (step @p949 :rule false_intro :premises (@p941)) % 52.41/52.61 (step @p950 :rule refl :args (@t69)) % 52.41/52.61 (step @p951 :rule symm :premises (@p1146)) % 52.41/52.61 (step @p952 :rule cong :premises (@p951 @p950) :args (@t396)) % 52.41/52.61 (step @p953 :rule trans :premises (@p952 @p949)) % 52.41/52.61 (step @p954 :rule false_elim :premises (@p953)) % 52.41/52.61 (step-pop @p1149 :rule scope :premises (@p954)) % 52.41/52.61 (step-pop @p1150 :rule scope :premises (@p1149)) % 52.41/52.61 (step @p955 :rule process_scope :premises (@p1150) :args (@t427)) % 52.41/52.61 (step @p958 :rule and_intro :premises (@p941 @p1146)) % 52.41/52.61 (step @p959 :rule modus_ponens :premises (@p958 @p955)) % 52.41/52.61 (step-pop @p1151 :rule scope :premises (@p959)) % 52.41/52.61 (step-pop @p1152 :rule scope :premises (@p1151)) % 52.41/52.61 (step @p960 :rule process_scope :premises (@p1152) :args (@t427)) % 52.41/52.61 (step @p963 :rule implies_elim :premises (@p960)) % 52.41/52.61 (step @p964 :rule cnf_and_neg :args (@t428)) % 52.41/52.61 (step @p965 :rule resolution :premises (@p964 @p963) :args (true @t428)) % 52.41/52.61 (step @p966 :rule eq_resolve :premises (@p965 @p944)) % 52.41/52.61 (step @p967 :rule chain_m_resolution :premises (@p966 @p941 @p912) :args (@t427 @t115 (@list @t400 @t421))) % 52.41/52.61 (step @p968 :rule cnf_or_pos :args (@t398)) % 52.41/52.61 (step @p969 :rule reordering :premises (@p968) :args ((or @t397 @t396 (not @t398)))) % 52.41/52.61 (step @p970 false :rule chain_m_resolution :premises (@p969 @p967 @p939 @p868) :args (false (@list true true false) (@list @t396 @t397 @t398))) % 52.41/52.61 ) % 52.41/52.61 % SZS output end Proof % 52.41/52.61 % cvc5 exiting %------------------------------------------------------------------------------