%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW588_2 : TPTP v9.2.1. Released v6.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n013.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:05:17 AM UTC 2026 % Result : Theorem 0.40s 0.62s % Output : Proof 0.40s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SWW588_2 : TPTP v9.2.1. Released v6.1.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n013.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 22:17:15 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_ARI % 0.40/0.62 --- Run --finite-model-find --decision=internal at 45... % 0.40/0.62 % SZS status Theorem % 0.40/0.62 % SZS output start Proof % 0.40/0.62 ( % 0.40/0.62 (declare-sort tptp.tuple02 0) % 0.40/0.62 (declare-sort tptp.bool1 0) % 0.40/0.62 (declare-sort tptp.ty 0) % 0.40/0.62 (declare-sort tptp.uni 0) % 0.40/0.62 (declare-const tptp.contents (-> tptp.ty tptp.uni tptp.uni)) % 0.40/0.62 (declare-const tptp.ref (-> tptp.ty tptp.ty)) % 0.40/0.62 (declare-const tptp.false1 tptp.bool1) % 0.40/0.62 (declare-const tptp.true1 tptp.bool1) % 0.40/0.62 (declare-const tptp.mk_ref (-> tptp.ty tptp.uni tptp.uni)) % 0.40/0.62 (declare-const tptp.match_bool1 (-> tptp.ty tptp.bool1 tptp.uni tptp.uni tptp.uni)) % 0.40/0.62 (declare-const tptp.sort1 (-> tptp.ty tptp.uni Bool)) % 0.40/0.62 (declare-const tptp.tuple03 tptp.tuple02) % 0.40/0.62 (declare-const tptp.witness1 (-> tptp.ty tptp.uni)) % 0.40/0.62 (define @t1 () (@var "A" tptp.ty)) % 0.40/0.62 (define @t2 () (@var "X2" tptp.uni)) % 0.40/0.62 (define @t3 () (@var "X1" tptp.uni)) % 0.40/0.62 (define @t4 () (@var "X" tptp.bool1)) % 0.40/0.62 (define @t5 () (@var "Z" tptp.uni)) % 0.40/0.62 (define @t6 () (@var "Z1" tptp.uni)) % 0.40/0.62 (define @t7 () (@list @t1 @t5 @t6)) % 0.40/0.62 (define @t8 () (@var "U" tptp.bool1)) % 0.40/0.62 (define @t9 () (@var "U" tptp.tuple02)) % 0.40/0.62 (define @t10 () (@var "Z" Int)) % 0.40/0.62 (define @t11 () (@var "Y" Int)) % 0.40/0.62 (define @t12 () (@var "X" Int)) % 0.40/0.62 (define @t13 () (@var "X" tptp.uni)) % 0.40/0.62 (define @t14 () (tptp.ref @t1)) % 0.40/0.62 (define @t15 () (@list @t1 @t13)) % 0.40/0.62 (define @t16 () (@var "U" tptp.uni)) % 0.40/0.62 (define @t17 () (@list @t1 @t16)) % 0.40/0.62 (define @t18 () (@var "B" Int)) % 0.40/0.62 (define @t19 () (@var "R1" Int)) % 0.40/0.62 (define @t20 () (<= 0 @t19)) % 0.40/0.62 (define @t21 () (@var "A" Int)) % 0.40/0.62 (define @t22 () (@var "Q" Int)) % 0.40/0.62 (define @t23 () (* @t22 @t18)) % 0.40/0.62 (define @t24 () (+ @t23 @t19)) % 0.40/0.62 (define @t25 () (= @t24 @t21)) % 0.40/0.62 (define @t26 () (and @t25 @t20 (< @t19 @t18))) % 0.40/0.62 (define @t27 () (@list @t19)) % 0.40/0.62 (define @t28 () (exists @t27 @t26)) % 0.40/0.62 (define @t29 () (@var "R" Int)) % 0.40/0.62 (define @t30 () (<= @t18 @t29)) % 0.40/0.62 (define @t31 () (not @t30)) % 0.40/0.62 (define @t32 () (=> @t31 @t28)) % 0.40/0.62 (define @t33 () (<= 0 @t29)) % 0.40/0.62 (define @t34 () (@var "Q1" Int)) % 0.40/0.62 (define @t35 () (* @t34 @t18)) % 0.40/0.62 (define @t36 () (+ @t35 @t19)) % 0.40/0.62 (define @t37 () (= @t36 @t21)) % 0.40/0.62 (define @t38 () (and @t37 @t20 @t33 (< @t19 @t29))) % 0.40/0.62 (define @t39 () (- @t29 @t18)) % 0.40/0.62 (define @t40 () (= @t19 @t39)) % 0.40/0.62 (define @t41 () (=> @t40 @t38)) % 0.40/0.62 (define @t42 () (forall @t27 @t41)) % 0.40/0.62 (define @t43 () (+ @t22 1)) % 0.40/0.62 (define @t44 () (= @t34 @t43)) % 0.40/0.62 (define @t45 () (=> @t44 @t42)) % 0.40/0.62 (define @t46 () (@list @t34)) % 0.40/0.62 (define @t47 () (forall @t46 @t45)) % 0.40/0.62 (define @t48 () (=> @t30 @t47)) % 0.40/0.62 (define @t49 () (and @t48 @t32)) % 0.40/0.62 (define @t50 () (+ @t23 @t29)) % 0.40/0.62 (define @t51 () (= @t50 @t21)) % 0.40/0.62 (define @t52 () (and @t51 @t33)) % 0.40/0.62 (define @t53 () (=> @t52 @t49)) % 0.40/0.62 (define @t54 () (@list @t29 @t22)) % 0.40/0.62 (define @t55 () (forall @t54 @t53)) % 0.40/0.62 (define @t56 () (<= 0 @t21)) % 0.40/0.62 (define @t57 () (* 0 @t18)) % 0.40/0.62 (define @t58 () (+ @t57 @t21)) % 0.40/0.62 (define @t59 () (= @t58 @t21)) % 0.40/0.62 (define @t60 () (and @t59 @t56 @t55)) % 0.40/0.62 (define @t61 () (and @t56 (< 0 @t18))) % 0.40/0.62 (define @t62 () (=> @t61 @t60)) % 0.40/0.62 (define @t63 () (@list @t21 @t18)) % 0.40/0.62 (define @t64 () (forall @t63 @t62)) % 0.40/0.62 (define @t65 () (not @t64)) % 0.40/0.62 (define @t66 () (@var "BOUND_VARIABLE_7780" Int)) % 0.40/0.62 (define @t67 () (* -1 (* @t18 @t66))) % 0.40/0.62 (define @t68 () (* -1 @t18)) % 0.40/0.62 (define @t69 () (>= (+ @t21 @t68 @t67) 0)) % 0.40/0.62 (define @t70 () (not @t69)) % 0.40/0.62 (define @t71 () (>= (+ @t21 @t67) 0)) % 0.40/0.62 (define @t72 () (>= @t18 1)) % 0.40/0.62 (define @t73 () (or (not @t71) (and (or @t70 (and @t69 @t71 @t72)) (or @t69 (and @t71 @t70))))) % 0.40/0.62 (define @t74 () (>= @t21 0)) % 0.40/0.62 (define @t75 () (and @t74 @t73)) % 0.40/0.62 (define @t76 () (not @t72)) % 0.40/0.62 (define @t77 () (not @t74)) % 0.40/0.62 (define @t78 () (or @t77 @t76 @t75)) % 0.40/0.62 (define @t79 () (forall (@list @t21 @t18 @t66) @t78)) % 0.40/0.62 (define @t80 () (@list @t66)) % 0.40/0.62 (define @t81 () (forall @t80 @t78)) % 0.40/0.62 (define @t82 () (forall @t80 @t73)) % 0.40/0.62 (define @t83 () (forall @t80 @t74)) % 0.40/0.62 (define @t84 () (and @t83 @t82)) % 0.40/0.62 (define @t85 () (forall @t80 @t75)) % 0.40/0.62 (define @t86 () (or @t77 @t76 @t85)) % 0.40/0.62 (define @t87 () (* @t18 @t22)) % 0.40/0.62 (define @t88 () (* -1 @t87)) % 0.40/0.62 (define @t89 () (+ @t21 @t68 @t88)) % 0.40/0.62 (define @t90 () (>= @t89 0)) % 0.40/0.62 (define @t91 () (not @t90)) % 0.40/0.62 (define @t92 () (+ @t21 @t88)) % 0.40/0.62 (define @t93 () (>= @t92 0)) % 0.40/0.62 (define @t94 () (and @t93 @t91)) % 0.40/0.62 (define @t95 () (and @t90 @t93 @t72)) % 0.40/0.62 (define @t96 () (and (or @t91 @t95) (or @t90 @t94))) % 0.40/0.62 (define @t97 () (not @t93)) % 0.40/0.62 (define @t98 () (or @t97 @t96)) % 0.40/0.62 (define @t99 () (@list @t22)) % 0.40/0.62 (define @t100 () (forall @t99 @t98)) % 0.40/0.62 (define @t101 () (and @t74 @t100)) % 0.40/0.62 (define @t102 () (or @t77 @t76 @t101)) % 0.40/0.62 (define @t103 () (and @t74 @t72)) % 0.40/0.62 (define @t104 () (* -1 @t21)) % 0.40/0.62 (define @t105 () (+ @t104 @t18 @t87)) % 0.40/0.62 (define @t106 () (+ @t89 1)) % 0.40/0.62 (define @t107 () (+ @t104 @t87)) % 0.40/0.62 (define @t108 () (* -1 @t92)) % 0.40/0.62 (define @t109 () (+ @t18 @t108)) % 0.40/0.62 (define @t110 () (>= @t109 1)) % 0.40/0.62 (define @t111 () (not @t110)) % 0.40/0.62 (define @t112 () (or @t111 @t94)) % 0.40/0.62 (define @t113 () (+ @t88 @t87 @t21)) % 0.40/0.62 (define @t114 () (+ @t92 @t87)) % 0.40/0.62 (define @t115 () (= @t21 @t114)) % 0.40/0.62 (define @t116 () (and @t115 @t111 @t93 @t72)) % 0.40/0.62 (define @t117 () (or @t110 @t116)) % 0.40/0.62 (define @t118 () (and @t117 @t112)) % 0.40/0.62 (define @t119 () (not @t115)) % 0.40/0.62 (define @t120 () (or @t119 @t97 @t118)) % 0.40/0.62 (define @t121 () (+ @t18 (* -1 @t29))) % 0.40/0.62 (define @t122 () (>= @t121 1)) % 0.40/0.62 (define @t123 () (not @t122)) % 0.40/0.62 (define @t124 () (>= @t29 0)) % 0.40/0.62 (define @t125 () (+ @t29 @t87)) % 0.40/0.62 (define @t126 () (= @t21 @t125)) % 0.40/0.62 (define @t127 () (and @t126 @t123 @t124 @t72)) % 0.40/0.62 (define @t128 () (and (or @t122 @t127) (or @t123 @t94))) % 0.40/0.62 (define @t129 () (not @t124)) % 0.40/0.62 (define @t130 () (not @t126)) % 0.40/0.62 (define @t131 () (= @t29 @t92)) % 0.40/0.62 (define @t132 () (@list @t29)) % 0.40/0.62 (define @t133 () (* -1 (- @t21 @t125))) % 0.40/0.62 (define @t134 () (or @t130 @t130 @t129 @t128)) % 0.40/0.62 (define @t135 () (or @t130 @t129 @t128)) % 0.40/0.62 (define @t136 () (forall @t132 @t135)) % 0.40/0.62 (define @t137 () (forall @t99 @t136)) % 0.40/0.62 (define @t138 () (forall (@list @t22 @t29) @t135)) % 0.40/0.62 (define @t139 () (or @t97 @t90)) % 0.40/0.62 (define @t140 () (not @t139)) % 0.40/0.62 (define @t141 () (and (=> @t123 @t127) (=> @t122 @t140))) % 0.40/0.62 (define @t142 () (and @t126 @t124)) % 0.40/0.62 (define @t143 () (or @t119 @t97 @t111)) % 0.40/0.62 (define @t144 () (* -1 @t19)) % 0.40/0.62 (define @t145 () (+ @t18 @t144)) % 0.40/0.62 (define @t146 () (>= @t145 1)) % 0.40/0.62 (define @t147 () (not @t146)) % 0.40/0.62 (define @t148 () (>= @t19 0)) % 0.40/0.62 (define @t149 () (not @t148)) % 0.40/0.62 (define @t150 () (+ @t19 @t87)) % 0.40/0.62 (define @t151 () (= @t21 @t150)) % 0.40/0.62 (define @t152 () (not @t151)) % 0.40/0.62 (define @t153 () (= @t19 @t92)) % 0.40/0.62 (define @t154 () (* -1 (- @t21 @t150))) % 0.40/0.62 (define @t155 () (or @t152 @t152 @t149 @t147)) % 0.40/0.62 (define @t156 () (or @t152 @t149 @t147)) % 0.40/0.62 (define @t157 () (and @t151 @t148 @t146)) % 0.40/0.62 (define @t158 () (forall @t27 (not @t157))) % 0.40/0.62 (define @t159 () (not @t158)) % 0.40/0.62 (define @t160 () (+ @t145 1)) % 0.40/0.62 (define @t161 () (>= @t19 @t18)) % 0.40/0.62 (define @t162 () (+ @t29 1)) % 0.40/0.62 (define @t163 () (>= @t18 @t162)) % 0.40/0.62 (define @t164 () (+ @t18 @t87)) % 0.40/0.62 (define @t165 () (+ 1 @t22)) % 0.40/0.62 (define @t166 () (* @t18 @t165)) % 0.40/0.62 (define @t167 () (+ @t68 @t29 @t166)) % 0.40/0.62 (define @t168 () (= @t21 @t167)) % 0.40/0.62 (define @t169 () (and @t168 @t123 @t124 @t72)) % 0.40/0.62 (define @t170 () (+ -1 @t165)) % 0.40/0.62 (define @t171 () (= @t22 @t170)) % 0.40/0.62 (define @t172 () (not @t171)) % 0.40/0.62 (define @t173 () (or @t172 @t169)) % 0.40/0.62 (define @t174 () (* @t18 @t34)) % 0.40/0.62 (define @t175 () (+ @t68 @t29 @t174)) % 0.40/0.62 (define @t176 () (and (= @t21 @t175) @t123 @t124 @t72)) % 0.40/0.62 (define @t177 () (+ -1 @t34)) % 0.40/0.62 (define @t178 () (= @t22 @t177)) % 0.40/0.62 (define @t179 () (not @t178)) % 0.40/0.62 (define @t180 () (= @t34 @t165)) % 0.40/0.62 (define @t181 () (* 1 (- @t34 @t165))) % 0.40/0.62 (define @t182 () (* -1 (- @t22 @t177))) % 0.40/0.62 (define @t183 () (or @t179 @t179 @t176)) % 0.40/0.62 (define @t184 () (or @t179 @t176)) % 0.40/0.62 (define @t185 () (+ @t68 @t29)) % 0.40/0.62 (define @t186 () (* -1 @t121)) % 0.40/0.62 (define @t187 () (* -1 @t186)) % 0.40/0.62 (define @t188 () (+ @t29 @t187)) % 0.40/0.62 (define @t189 () (>= @t188 1)) % 0.40/0.62 (define @t190 () (+ @t121 1)) % 0.40/0.62 (define @t191 () (>= @t186 0)) % 0.40/0.62 (define @t192 () (+ @t186 @t174)) % 0.40/0.62 (define @t193 () (= @t21 @t192)) % 0.40/0.62 (define @t194 () (and @t193 @t191 @t124 @t189)) % 0.40/0.62 (define @t195 () (= @t18 @t188)) % 0.40/0.62 (define @t196 () (not @t195)) % 0.40/0.62 (define @t197 () (or @t196 @t194)) % 0.40/0.62 (define @t198 () (+ @t29 @t144)) % 0.40/0.62 (define @t199 () (>= @t198 1)) % 0.40/0.62 (define @t200 () (+ @t19 @t174)) % 0.40/0.62 (define @t201 () (= @t21 @t200)) % 0.40/0.62 (define @t202 () (and @t201 @t148 @t124 @t199)) % 0.40/0.62 (define @t203 () (= @t18 @t198)) % 0.40/0.62 (define @t204 () (not @t203)) % 0.40/0.62 (define @t205 () (= @t19 @t186)) % 0.40/0.62 (define @t206 () (* 1 (- @t18 @t198))) % 0.40/0.62 (define @t207 () (or @t204 @t204 @t202)) % 0.40/0.62 (define @t208 () (or @t204 @t202)) % 0.40/0.62 (define @t209 () (+ @t198 1)) % 0.40/0.62 (define @t210 () (>= @t19 @t29)) % 0.40/0.62 (define @t211 () (+ @t29 @t68)) % 0.40/0.62 (define @t212 () (+ @t18 1)) % 0.40/0.62 (define @t213 () (>= 0 @t18)) % 0.40/0.62 (define @t214 () (@quantifiers_skolemize @t79 1)) % 0.40/0.62 (define @t215 () (* -1 (* @t214 (@quantifiers_skolemize @t79 2)))) % 0.40/0.62 (define @t216 () (@quantifiers_skolemize @t79 0)) % 0.40/0.62 (define @t217 () (>= (+ @t216 (* -1 @t214) @t215) 0)) % 0.40/0.62 (define @t218 () (not @t217)) % 0.40/0.62 (define @t219 () (>= (+ @t216 @t215) 0)) % 0.40/0.62 (define @t220 () (and @t219 @t218)) % 0.40/0.62 (define @t221 () (or @t217 @t220)) % 0.40/0.62 (define @t222 () (>= @t214 1)) % 0.40/0.62 (define @t223 () (and @t217 @t219 @t222)) % 0.40/0.62 (define @t224 () (or @t218 @t223)) % 0.40/0.62 (define @t225 () (and @t224 @t221)) % 0.40/0.62 (define @t226 () (not @t219)) % 0.40/0.62 (define @t227 () (or @t226 @t225)) % 0.40/0.62 (define @t228 () (>= @t216 0)) % 0.40/0.62 (define @t229 () (and @t228 @t227)) % 0.40/0.62 (define @t230 () (not @t222)) % 0.40/0.62 (define @t231 () (not @t228)) % 0.40/0.62 (define @t232 () (or @t231 @t230 @t229)) % 0.40/0.62 (define @t233 () (@list true)) % 0.40/0.62 (define @t234 () (@list @t232)) % 0.40/0.62 (define @t235 () (not @t227)) % 0.40/0.62 (define @t236 () (@list @t227)) % 0.40/0.62 (define @t237 () (not @t218)) % 0.40/0.62 (define @t238 () (@list @t224)) % 0.40/0.62 (assume @p1 (forall (@list @t1) (tptp.sort1 @t1 (tptp.witness1 @t1)))) % 0.40/0.62 (assume @p2 (forall (@list @t1 @t4 @t3 @t2) (tptp.sort1 @t1 (tptp.match_bool1 @t1 @t4 @t3 @t2)))) % 0.40/0.62 (assume @p3 (forall @t7 (=> (tptp.sort1 @t1 @t5) (= (tptp.match_bool1 @t1 tptp.true1 @t5 @t6) @t5)))) % 0.40/0.62 (assume @p4 (forall @t7 (=> (tptp.sort1 @t1 @t6) (= (tptp.match_bool1 @t1 tptp.false1 @t5 @t6) @t6)))) % 0.40/0.62 (assume @p5 (not (= tptp.true1 tptp.false1))) % 0.40/0.62 (assume @p6 (forall (@list @t8) (or (= @t8 tptp.true1) (= @t8 tptp.false1)))) % 0.40/0.62 (assume @p7 (forall (@list @t9) (= @t9 tptp.tuple03))) % 0.40/0.62 (assume @p8 (forall (@list @t12 @t11 @t10) (=> (<= @t12 @t11) (=> (<= 0 @t10) (<= (* @t12 @t10) (* @t11 @t10)))))) % 0.40/0.62 (assume @p9 (forall @t15 (tptp.sort1 @t14 (tptp.mk_ref @t1 @t13)))) % 0.40/0.62 (assume @p10 (forall @t15 (tptp.sort1 @t1 (tptp.contents @t1 @t13)))) % 0.40/0.62 (assume @p11 (forall @t17 (=> (tptp.sort1 @t1 @t16) (= (tptp.contents @t1 (tptp.mk_ref @t1 @t16)) @t16)))) % 0.40/0.62 (assume @p12 (forall @t17 (=> (tptp.sort1 @t14 @t16) (= @t16 (tptp.mk_ref @t1 (tptp.contents @t1 @t16)))))) % 0.40/0.62 (assume @p13 @t65) % 0.40/0.62 (assume @p14 true) % 0.40/0.62 (step @p15 :rule quant-merge-prenex :args ((= (forall @t63 @t81) @t79))) % 0.40/0.62 (step @p16 :rule alpha_equiv :args (@t82 (@list @t66) (@list @t22))) % 0.40/0.62 (step @p17 :rule quant-unused-vars :args ((= @t83 @t74))) % 0.40/0.62 (step @p18 :rule nary_cong :premises (@p17 @p16) :args (@t84)) % 0.40/0.62 (step @p19 :rule quant-miniscope-and :args ((= @t85 @t84))) % 0.40/0.62 (step @p20 :rule trans :premises (@p19 @p18)) % 0.40/0.62 (step @p21 :rule refl :args (@t76)) % 0.40/0.62 (step @p22 :rule refl :args (@t77)) % 0.40/0.62 (step @p23 :rule nary_cong :premises (@p22 @p21 @p20) :args (@t86)) % 0.40/0.62 (step @p24 :rule quant-miniscope-or :args ((= @t81 @t86))) % 0.40/0.62 (step @p25 :rule trans :premises (@p24 @p23)) % 0.40/0.62 (step @p26 :rule symm :premises (@p25)) % 0.40/0.62 (step @p27 :rule cong :premises (@p26) :args ((forall @t63 @t102))) % 0.40/0.62 (step @p28 :rule trans :premises (@p27 @p15)) % 0.40/0.62 (step @p29 :rule aci_norm :args ((= (or (or @t77 @t76) @t101) @t102))) % 0.40/0.62 (step @p30 :rule refl :args (@t101)) % 0.40/0.62 (step @p31 :rule bool-and-de-morgan :args (@t74 @t72 true)) % 0.40/0.62 (step @p32 :rule nary_cong :premises (@p31 @p30) :args ((or (not @t103) @t101))) % 0.40/0.62 (step @p33 :rule trans :premises (@p32 @p29)) % 0.40/0.62 (step @p34 :rule bool-impl-elim :args (@t103 @t101)) % 0.40/0.62 (step @p35 :rule trans :premises (@p34 @p33)) % 0.40/0.62 (step @p36 :rule cong :premises (@p35) :args ((forall @t63 (=> @t103 @t101)))) % 0.40/0.62 (step @p37 :rule trans :premises (@p36 @p28)) % 0.40/0.62 (step @p38 :rule aci_norm :args ((= (and true @t74 @t100) @t101))) % 0.40/0.62 (step @p39 :rule aci_norm :args ((= (or false @t97 @t96) @t98))) % 0.40/0.62 (step @p40 :rule refl :args (@t94)) % 0.40/0.62 (step @p41 :rule bool-double-not-elim :args (@t90)) % 0.40/0.62 (step @p42 :rule arith_poly_norm :args ((= (* -1 (- 0 @t106)) (* -1 (- @t105 1))))) % 0.40/0.62 (step @p43 :rule arith_poly_norm_rel :premises (@p42) :args ((= (>= 0 @t106) (>= @t105 1)))) % 0.40/0.62 (step @p44 :rule arith-geq-tighten :args (@t89 0)) % 0.40/0.62 (step @p45 :rule trans 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:rule nary_cong :premises (@p273 @p161) :args (@t36)) % 0.40/0.62 (step @p275 :rule trans :premises (@p274 @p272)) % 0.40/0.62 (step @p276 :rule cong :premises (@p275 @p65) :args (@t37)) % 0.40/0.62 (step @p277 :rule trans :premises (@p276 @p271)) % 0.40/0.62 (step @p278 :rule nary_cong :premises (@p277 @p157 @p269 @p268) :args (@t38)) % 0.40/0.62 (step @p279 :rule arith_poly_norm :args ((= (* 1 (- @t19 @t185)) @t206))) % 0.40/0.62 (step @p280 :rule arith_poly_norm_rel :premises (@p279) :args ((= (= @t19 @t185) @t203))) % 0.40/0.62 (step @p281 :rule arith_poly_norm :args ((= @t211 @t185))) % 0.40/0.62 (step @p282 :rule arith_poly_norm :args ((= @t39 @t211))) % 0.40/0.62 (step @p283 :rule trans :premises (@p282 @p281)) % 0.40/0.62 (step @p284 :rule cong :premises (@p161 @p283) :args (@t40)) % 0.40/0.62 (step @p285 :rule trans :premises (@p284 @p280)) % 0.40/0.62 (step @p286 :rule cong :premises (@p285 @p278) :args (@t41)) % 0.40/0.62 (step @p287 :rule cong :premises (@p286) :args (@t42)) % 0.40/0.62 (step @p288 :rule trans :premises (@p287 @p258)) % 0.40/0.62 (step @p289 :rule arith_poly_norm :args ((= @t181 @t182))) % 0.40/0.62 (step @p290 :rule arith_poly_norm_rel :premises (@p289) :args ((= @t180 @t178))) % 0.40/0.62 (step @p291 :rule arith_poly_norm :args ((= @t43 @t165))) % 0.40/0.62 (step @p292 :rule refl :args (@t34)) % 0.40/0.62 (step @p293 :rule cong :premises (@p292 @p291) :args (@t44)) % 0.40/0.62 (step @p294 :rule trans :premises (@p293 @p290)) % 0.40/0.62 (step @p295 :rule cong :premises (@p294 @p288) :args (@t45)) % 0.40/0.62 (step @p296 :rule cong :premises (@p295) :args (@t47)) % 0.40/0.62 (step @p297 :rule trans :premises (@p296 @p212)) % 0.40/0.62 (step @p298 :rule cong :premises (@p174 @p297) :args (@t48)) % 0.40/0.62 (step @p299 :rule nary_cong :premises (@p298 @p177) :args (@t49)) % 0.40/0.62 (step @p300 :rule arith_poly_norm :args ((= (* 1 (- @t125 @t21)) @t133))) % 0.40/0.62 (step @p301 :rule arith_poly_norm_rel :premises (@p300) :args ((= (= @t125 @t21) @t126))) % 0.40/0.62 (step @p302 :rule arith_poly_norm :args ((= (+ @t87 @t29) @t125))) % 0.40/0.62 (step @p303 :rule nary_cong :premises (@p162 @p183) :args (@t50)) % 0.40/0.62 (step @p304 :rule trans :premises (@p303 @p302)) % 0.40/0.62 (step @p305 :rule cong :premises (@p304 @p65) :args (@t51)) % 0.40/0.62 (step @p306 :rule trans :premises (@p305 @p301)) % 0.40/0.62 (step @p307 :rule nary_cong :premises (@p306 @p269) :args (@t52)) % 0.40/0.62 (step @p308 :rule cong :premises (@p307 @p299) :args (@t53)) % 0.40/0.62 (step @p309 :rule cong :premises (@p308) :args (@t55)) % 0.40/0.62 (step @p310 :rule trans :premises (@p309 @p119)) % 0.40/0.62 (step @p311 :rule arith-elim-leq :args (0 @t21)) % 0.40/0.62 (step @p312 :rule arith_poly_norm :args ((= (+ 0 @t21) @t21))) % 0.40/0.62 (step @p313 :rule arith_poly_norm :args ((= @t57 0))) % 0.40/0.62 (step @p314 :rule nary_cong :premises (@p313 @p65) :args (@t58)) % 0.40/0.62 (step @p315 :rule trans :premises (@p314 @p312)) % 0.40/0.62 (step @p316 :rule cong :premises (@p315 @p65) :args (@t59)) % 0.40/0.62 (step @p317 :rule trans :premises (@p316 @p61)) % 0.40/0.62 (step @p318 :rule nary_cong :premises (@p317 @p311 @p310) :args (@t60)) % 0.40/0.62 (step @p319 :rule trans :premises (@p318 @p38)) % 0.40/0.62 (step @p320 :rule bool-double-not-elim :args (@t72)) % 0.40/0.62 (step @p321 :rule arith_poly_norm :args ((= (* -1 (- 1 @t212)) (* -1 (- 0 @t18))))) % 0.40/0.62 (step @p322 :rule arith_poly_norm_rel :premises (@p321) :args ((= (>= 1 @t212) @t213))) % 0.40/0.62 (step @p323 :rule arith-geq-tighten :args (@t18 1)) % 0.40/0.62 (step @p324 :rule trans :premises (@p323 @p322)) % 0.40/0.62 (step @p325 :rule symm :premises (@p324)) % 0.40/0.62 (step @p326 :rule cong :premises (@p325) :args ((not @t213))) % 0.40/0.62 (step @p327 :rule trans :premises (@p326 @p320)) % 0.40/0.62 (step @p328 :rule arith-elim-lt :args (0 @t18)) % 0.40/0.62 (step @p329 :rule trans :premises (@p328 @p327)) % 0.40/0.62 (step @p330 :rule nary_cong :premises (@p311 @p329) :args (@t61)) % 0.40/0.62 (step @p331 :rule cong :premises (@p330 @p319) :args (@t62)) % 0.40/0.62 (step @p332 :rule cong :premises (@p331) :args (@t64)) % 0.40/0.62 (step @p333 :rule trans :premises (@p332 @p37)) % 0.40/0.62 (step @p334 :rule cong :premises (@p333) :args (@t65)) % 0.40/0.62 (step @p335 :rule eq_resolve :premises (@p13 @p334)) % 0.40/0.62 (step @p336 :rule skolemize :premises (@p335)) % 0.40/0.62 (step @p337 :rule cnf_or_neg :args (@t232 2)) % 0.40/0.62 (step @p338 :rule chain_m_resolution :premises (@p337 @p336) :args ((not @t229) @t233 @t234)) % 0.40/0.62 (step @p339 :rule bool-double-not-elim :args (@t228)) % 0.40/0.62 (step @p340 :rule refl :args (@t232)) % 0.40/0.62 (step @p341 :rule nary_cong :premises (@p340 @p339) :args ((or @t232 (not @t231)))) % 0.40/0.62 (step @p342 :rule cnf_or_neg :args (@t232 0)) % 0.40/0.62 (step @p343 :rule eq_resolve :premises (@p342 @p341)) % 0.40/0.62 (step @p344 :rule reordering :premises (@p343) :args ((or @t228 @t232))) % 0.40/0.62 (step @p345 :rule chain_m_resolution :premises (@p344 @p336) :args (@t228 @t233 @t234)) % 0.40/0.62 (step @p346 :rule cnf_and_neg :args (@t229)) % 0.40/0.62 (step @p347 :rule reordering :premises (@p346) :args ((or @t231 @t229 @t235))) % 0.40/0.62 (step @p348 :rule chain_m_resolution :premises (@p347 @p345 @p338) :args (@t235 (@list false true) (@list @t228 @t229))) % 0.40/0.62 (step @p349 :rule bool-double-not-elim :args (@t219)) % 0.40/0.62 (step @p350 :rule refl :args (@t227)) % 0.40/0.62 (step @p351 :rule nary_cong :premises (@p350 @p349) :args ((or @t227 (not @t226)))) % 0.40/0.62 (step @p352 :rule cnf_or_neg :args (@t227 0)) % 0.40/0.62 (step @p353 :rule eq_resolve :premises (@p352 @p351)) % 0.40/0.62 (step @p354 :rule reordering :premises (@p353) :args ((or @t219 @t227))) % 0.40/0.62 (step @p355 :rule chain_m_resolution :premises (@p354 @p348) :args (@t219 @t233 @t236)) % 0.40/0.62 (step @p356 :rule bool-double-not-elim :args (@t222)) % 0.40/0.62 (step @p357 :rule nary_cong :premises (@p340 @p356) :args ((or @t232 (not @t230)))) % 0.40/0.62 (step @p358 :rule cnf_or_neg :args (@t232 1)) % 0.40/0.62 (step @p359 :rule eq_resolve :premises (@p358 @p357)) % 0.40/0.62 (step @p360 :rule reordering :premises (@p359) :args ((or @t222 @t232))) % 0.40/0.62 (step @p361 :rule chain_m_resolution :premises (@p360 @p336) :args (@t222 @t233 @t234)) % 0.40/0.62 (step @p362 :rule cnf_or_neg :args (@t221 0)) % 0.40/0.62 (step @p363 :rule reordering :premises (@p362) :args ((or @t218 @t221))) % 0.40/0.62 (step @p364 :rule cnf_or_neg :args (@t221 1)) % 0.40/0.62 (step @p365 :rule bool-double-not-elim :args (@t217)) % 0.40/0.62 (step @p366 :rule refl :args (@t226)) % 0.40/0.62 (step @p367 :rule refl :args (@t220)) % 0.40/0.62 (step @p368 :rule nary_cong :premises (@p367 @p366 @p365) :args ((or @t220 @t226 @t237))) % 0.40/0.62 (step @p369 :rule cnf_and_neg :args (@t220)) % 0.40/0.62 (step @p370 :rule eq_resolve :premises (@p369 @p368)) % 0.40/0.62 (step @p371 :rule reordering :premises (@p370) :args ((or @t226 @t217 @t220))) % 0.40/0.62 (step @p372 :rule chain_m_resolution :premises (@p371 @p355 @p364 @p363) :args (@t221 (@list false true true) (@list @t219 @t220 @t217))) % 0.40/0.62 (step @p373 :rule cnf_or_neg :args (@t227 1)) % 0.40/0.62 (step @p374 :rule chain_m_resolution :premises (@p373 @p348) :args ((not @t225) @t233 @t236)) % 0.40/0.62 (step @p375 :rule cnf_and_neg :args (@t225)) % 0.40/0.62 (step @p376 :rule chain_m_resolution :premises (@p375 @p374 @p372) :args ((not @t224) (@list true false) (@list @t225 @t221))) % 0.40/0.62 (step @p377 :rule refl :args (@t224)) % 0.40/0.62 (step @p378 :rule nary_cong :premises (@p377 @p365) :args ((or @t224 @t237))) % 0.40/0.62 (step @p379 :rule cnf_or_neg :args (@t224 0)) % 0.40/0.62 (step @p380 :rule eq_resolve :premises (@p379 @p378)) % 0.40/0.62 (step @p381 :rule reordering :premises (@p380) :args ((or @t217 @t224))) % 0.40/0.62 (step @p382 :rule chain_m_resolution :premises (@p381 @p376) :args (@t217 @t233 @t238)) % 0.40/0.62 (step @p383 :rule cnf_or_neg :args (@t224 1)) % 0.40/0.62 (step @p384 :rule chain_m_resolution :premises (@p383 @p376) :args ((not @t223) @t233 @t238)) % 0.40/0.62 (step @p385 :rule cnf_and_neg :args (@t223)) % 0.40/0.62 (step @p386 :rule reordering :premises (@p385) :args ((or @t230 @t226 @t218 @t223))) % 0.40/0.62 (step @p387 false :rule chain_m_resolution :premises (@p386 @p384 @p382 @p361 @p355) :args (false (@list true false false false) (@list @t223 @t217 @t222 @t219))) % 0.40/0.62 ) % 0.40/0.62 % SZS output end Proof % 0.40/0.62 % cvc5 exiting %------------------------------------------------------------------------------