%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : DAT048_1 : TPTP v9.2.1. Released v5.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n004.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 08:14:25 AM UTC 2026 % Result : Theorem 31.80s 32.03s % Output : Proof 31.80s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.11 % Problem : DAT048_1 : TPTP v9.2.1. Released v5.0.0. % 0.12/0.12 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n004.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Mon Jun 1 22:27:07 EDT 2026 % 0.16/0.33 % CPUTime : % 0.30/0.48 %----Proving TF0_ARI % 31.80/32.03 --- Run --finite-model-find --decision=internal at 45... % 31.80/32.03 % SZS status Theorem % 31.80/32.03 % SZS output start Proof % 31.80/32.03 ( % 31.80/32.03 (declare-sort tptp.collection 0) % 31.80/32.03 (declare-const tptp.count (-> tptp.collection Int)) % 31.80/32.03 (declare-const tptp.remove (-> Int tptp.collection tptp.collection)) % 31.80/32.03 (declare-const tptp.add (-> Int tptp.collection tptp.collection)) % 31.80/32.03 (declare-const tptp.in (-> Int tptp.collection Bool)) % 31.80/32.03 (declare-const tptp.empty tptp.collection) % 31.80/32.03 (define @t1 () (@var "U" Int)) % 31.80/32.03 (define @t2 () (@var "W" tptp.collection)) % 31.80/32.03 (define @t3 () (@var "V" Int)) % 31.80/32.03 (define @t4 () (@var "Y" tptp.collection)) % 31.80/32.03 (define @t5 () (@var "X" Int)) % 31.80/32.03 (define @t6 () (@var "X1" tptp.collection)) % 31.80/32.03 (define @t7 () (@var "X2" Int)) % 31.80/32.03 (define @t8 () (@var "Z" Int)) % 31.80/32.03 (define @t9 () (forall (@list @t8 @t6 @t7) (= (or (tptp.in @t8 @t6) (= @t8 @t7)) (tptp.in @t8 (tptp.add @t7 @t6))))) % 31.80/32.03 (define @t10 () (@var "X4" tptp.collection)) % 31.80/32.03 (define @t11 () (@var "X5" Int)) % 31.80/32.03 (define @t12 () (@var "X3" Int)) % 31.80/32.03 (define @t13 () (forall (@list @t12 @t10 @t11) (= (and (tptp.in @t12 @t10) (not (= @t12 @t11))) (tptp.in @t12 (tptp.remove @t11 @t10))))) % 31.80/32.03 (define @t14 () (@var "X6" tptp.collection)) % 31.80/32.03 (define @t15 () (@var "X7" tptp.collection)) % 31.80/32.03 (define @t16 () (= (tptp.count @t15) 0)) % 31.80/32.03 (define @t17 () (= (= @t15 tptp.empty) @t16)) % 31.80/32.03 (define @t18 () (@list @t15)) % 31.80/32.03 (define @t19 () (forall @t18 @t17)) % 31.80/32.03 (define @t20 () (@var "X9" tptp.collection)) % 31.80/32.03 (define @t21 () (tptp.count @t20)) % 31.80/32.03 (define @t22 () (+ @t21 1)) % 31.80/32.03 (define @t23 () (@var "X8" Int)) % 31.80/32.03 (define @t24 () (tptp.count (tptp.add @t23 @t20))) % 31.80/32.03 (define @t25 () (= @t24 @t22)) % 31.80/32.03 (define @t26 () (not (tptp.in @t23 @t20))) % 31.80/32.03 (define @t27 () (= @t26 @t25)) % 31.80/32.03 (define @t28 () (@list @t23 @t20)) % 31.80/32.03 (define @t29 () (forall @t28 @t27)) % 31.80/32.03 (define @t30 () (@var "X11" tptp.collection)) % 31.80/32.03 (define @t31 () (@var "X10" Int)) % 31.80/32.03 (define @t32 () (@var "X13" tptp.collection)) % 31.80/32.03 (define @t33 () (@var "X12" Int)) % 31.80/32.03 (define @t34 () (@var "X15" tptp.collection)) % 31.80/32.03 (define @t35 () (@var "X14" Int)) % 31.80/32.03 (define @t36 () (forall (@list @t35 @t34) (= (not (tptp.in @t35 @t34)) (= (tptp.count (tptp.remove @t35 @t34)) (tptp.count @t34))))) % 31.80/32.03 (define @t37 () (@var "X17" tptp.collection)) % 31.80/32.03 (define @t38 () (@var "X16" Int)) % 31.80/32.03 (define @t39 () (tptp.add 2 tptp.empty)) % 31.80/32.03 (define @t40 () (tptp.remove 3 @t39)) % 31.80/32.03 (define @t41 () (tptp.add 5 @t40)) % 31.80/32.03 (define @t42 () (tptp.add 1 @t41)) % 31.80/32.03 (define @t43 () (tptp.count @t42)) % 31.80/32.03 (define @t44 () (= @t43 3)) % 31.80/32.03 (define @t45 () (not @t44)) % 31.80/32.03 (define @t46 () (= tptp.empty @t15)) % 31.80/32.03 (define @t47 () (tptp.count tptp.empty)) % 31.80/32.03 (define @t48 () (= @t47 0)) % 31.80/32.03 (define @t49 () (= @t48 (= tptp.empty tptp.empty))) % 31.80/32.03 (define @t50 () (forall @t18 (= @t16 @t46))) % 31.80/32.03 (define @t51 () (@list false)) % 31.80/32.03 (define @t52 () (+ 1 @t21)) % 31.80/32.03 (define @t53 () (tptp.count @t39)) % 31.80/32.03 (define @t54 () (+ -1 @t53)) % 31.80/32.03 (define @t55 () (- @t47 @t54)) % 31.80/32.03 (define @t56 () (+ 1 @t47)) % 31.80/32.03 (define @t57 () (= @t47 @t54)) % 31.80/32.03 (define @t58 () (= @t53 @t56)) % 31.80/32.03 (define @t59 () (tptp.in 2 tptp.empty)) % 31.80/32.03 (define @t60 () (not @t59)) % 31.80/32.03 (define @t61 () (= @t60 @t58)) % 31.80/32.03 (define @t62 () (forall @t28 (= @t26 (= @t24 @t52)))) % 31.80/32.03 (define @t63 () (= @t60 @t57)) % 31.80/32.03 (define @t64 () (@list @t62)) % 31.80/32.03 (define @t65 () (not @t63)) % 31.80/32.03 (define @t66 () (@list true false)) % 31.80/32.03 (define @t67 () (tptp.remove 0 tptp.empty)) % 31.80/32.03 (define @t68 () (tptp.count @t67)) % 31.80/32.03 (define @t69 () (= @t47 @t68)) % 31.80/32.03 (define @t70 () (= @t68 @t47)) % 31.80/32.03 (define @t71 () (tptp.in 0 tptp.empty)) % 31.80/32.03 (define @t72 () (not @t71)) % 31.80/32.03 (define @t73 () (= @t72 @t70)) % 31.80/32.03 (define @t74 () (= @t72 @t69)) % 31.80/32.03 (define @t75 () (@list @t36)) % 31.80/32.03 (define @t76 () (not @t74)) % 31.80/32.03 (define @t77 () (= tptp.empty @t67)) % 31.80/32.03 (define @t78 () (= @t68 0)) % 31.80/32.03 (define @t79 () (= @t78 @t77)) % 31.80/32.03 (define @t80 () (@list false false)) % 31.80/32.03 (define @t81 () (tptp.add 2 @t67)) % 31.80/32.03 (define @t82 () (tptp.remove 3 @t81)) % 31.80/32.03 (define @t83 () (tptp.count @t82)) % 31.80/32.03 (define @t84 () (tptp.count @t81)) % 31.80/32.03 (define @t85 () (= @t84 @t83)) % 31.80/32.03 (define @t86 () (= @t83 @t84)) % 31.80/32.03 (define @t87 () (tptp.in 3 @t81)) % 31.80/32.03 (define @t88 () (not @t87)) % 31.80/32.03 (define @t89 () (= @t88 @t86)) % 31.80/32.03 (define @t90 () (= @t88 @t85)) % 31.80/32.03 (define @t91 () (tptp.in 3 @t39)) % 31.80/32.03 (define @t92 () (tptp.in 3 tptp.empty)) % 31.80/32.03 (define @t93 () (= 3 2)) % 31.80/32.03 (define @t94 () (or @t92 @t93)) % 31.80/32.03 (define @t95 () (= @t94 @t91)) % 31.80/32.03 (define @t96 () (= @t92 @t91)) % 31.80/32.03 (define @t97 () (@list @t9)) % 31.80/32.04 (define @t98 () (not @t91)) % 31.80/32.04 (define @t99 () (and @t77 @t87)) % 31.80/32.04 (define @t100 () (not @t90)) % 31.80/32.04 (define @t101 () (tptp.in 5 @t39)) % 31.80/32.04 (define @t102 () (= 5 3)) % 31.80/32.04 (define @t103 () (not @t102)) % 31.80/32.04 (define @t104 () (and @t101 @t103)) % 31.80/32.04 (define @t105 () (tptp.in 5 @t40)) % 31.80/32.04 (define @t106 () (= @t104 @t105)) % 31.80/32.04 (define @t107 () (= @t105 @t101)) % 31.80/32.04 (define @t108 () (@list @t13)) % 31.80/32.04 (define @t109 () (tptp.in 5 tptp.empty)) % 31.80/32.04 (define @t110 () (= 5 2)) % 31.80/32.04 (define @t111 () (or @t109 @t110)) % 31.80/32.04 (define @t112 () (= @t111 @t101)) % 31.80/32.04 (define @t113 () (= @t109 @t101)) % 31.80/32.04 (define @t114 () (not @t101)) % 31.80/32.04 (define @t115 () (not @t105)) % 31.80/32.04 (define @t116 () (tptp.count @t40)) % 31.80/32.04 (define @t117 () (+ 1 @t116)) % 31.80/32.04 (define @t118 () (tptp.count @t41)) % 31.80/32.04 (define @t119 () (= @t118 @t117)) % 31.80/32.04 (define @t120 () (= @t115 @t119)) % 31.80/32.04 (define @t121 () (not @t120)) % 31.80/32.04 (define @t122 () (tptp.add 5 @t82)) % 31.80/32.04 (define @t123 () (tptp.count (tptp.add 1 @t122))) % 31.80/32.04 (define @t124 () (+ -1 @t123)) % 31.80/32.04 (define @t125 () (tptp.count @t122)) % 31.80/32.04 (define @t126 () (- @t125 @t124)) % 31.80/32.04 (define @t127 () (+ 1 @t125)) % 31.80/32.04 (define @t128 () (= @t125 @t124)) % 31.80/32.04 (define @t129 () (= @t123 @t127)) % 31.80/32.04 (define @t130 () (tptp.in 1 @t122)) % 31.80/32.04 (define @t131 () (not @t130)) % 31.80/32.04 (define @t132 () (= @t131 @t129)) % 31.80/32.04 (define @t133 () (= @t131 @t128)) % 31.80/32.04 (define @t134 () (tptp.in 1 @t41)) % 31.80/32.04 (define @t135 () (tptp.in 1 @t40)) % 31.80/32.04 (define @t136 () (= 1 5)) % 31.80/32.04 (define @t137 () (or @t135 @t136)) % 31.80/32.04 (define @t138 () (= @t137 @t134)) % 31.80/32.04 (define @t139 () (= @t135 @t134)) % 31.80/32.04 (define @t140 () (tptp.in 1 @t39)) % 31.80/32.04 (define @t141 () (= 1 3)) % 31.80/32.04 (define @t142 () (not @t141)) % 31.80/32.04 (define @t143 () (and @t140 @t142)) % 31.80/32.04 (define @t144 () (= @t143 @t135)) % 31.80/32.04 (define @t145 () (= @t140 @t135)) % 31.80/32.04 (define @t146 () (tptp.in 1 tptp.empty)) % 31.80/32.04 (define @t147 () (= 1 2)) % 31.80/32.04 (define @t148 () (or @t146 @t147)) % 31.80/32.04 (define @t149 () (= @t148 @t140)) % 31.80/32.04 (define @t150 () (= @t146 @t140)) % 31.80/32.04 (define @t151 () (not @t140)) % 31.80/32.04 (define @t152 () (not @t135)) % 31.80/32.04 (define @t153 () (not @t134)) % 31.80/32.04 (define @t154 () (not @t133)) % 31.80/32.04 (define @t155 () (= @t53 @t83)) % 31.80/32.04 (define @t156 () (= @t53 @t116)) % 31.80/32.04 (define @t157 () (= @t53 @t84)) % 31.80/32.04 (define @t158 () (and @t77 @t85)) % 31.80/32.04 (define @t159 () (>= @t43 3)) % 31.80/32.04 (define @t160 () (not @t48)) % 31.80/32.04 (define @t161 () (not @t128)) % 31.80/32.04 (define @t162 () (not @t119)) % 31.80/32.04 (define @t163 () (not @t156)) % 31.80/32.04 (define @t164 () (not @t57)) % 31.80/32.04 (define @t165 () (= @t118 @t125)) % 31.80/32.04 (define @t166 () (not @t165)) % 31.80/32.04 (define @t167 () (= @t43 @t123)) % 31.80/32.04 (define @t168 () (not @t167)) % 31.80/32.04 (define @t169 () (not @t159)) % 31.80/32.04 (define @t170 () (* -1 0)) % 31.80/32.04 (define @t171 () (* -1 1)) % 31.80/32.04 (define @t172 () (+ 3 @t170 0 -1 0 @t171 -1 @t170)) % 31.80/32.04 (define @t173 () (* -1 @t47)) % 31.80/32.04 (define @t174 () (* -1 @t53)) % 31.80/32.04 (define @t175 () (* -1 @t125)) % 31.80/32.04 (define @t176 () (* 0 @t43)) % 31.80/32.04 (define @t177 () (* 0 @t118)) % 31.80/32.04 (define @t178 () (= @t177 0)) % 31.80/32.04 (define @t179 () (* 0 @t116)) % 31.80/32.04 (define @t180 () (= @t179 0)) % 31.80/32.04 (define @t181 () (* 0 @t123)) % 31.80/32.04 (define @t182 () (= @t181 0)) % 31.80/32.04 (define @t183 () (+ @t175 @t181 @t125 @t179 @t177 @t174 @t53 @t173 @t47 @t176)) % 31.80/32.04 (define @t184 () (* -1 @t123)) % 31.80/32.04 (define @t185 () (+ @t125 @t184)) % 31.80/32.04 (define @t186 () (* -1 @t116)) % 31.80/32.04 (define @t187 () (+ @t118 @t186)) % 31.80/32.04 (define @t188 () (+ @t53 @t186)) % 31.80/32.04 (define @t189 () (+ @t47 @t174)) % 31.80/32.04 (define @t190 () (+ @t118 @t175)) % 31.80/32.04 (define @t191 () (+ @t43 @t184)) % 31.80/32.04 (define @t192 () (+ @t43 (* -1 @t191) @t190 @t189 @t188 (* -1 @t187) @t185 @t173)) % 31.80/32.04 (define @t193 () (>= @t192 @t172)) % 31.80/32.04 (define @t194 () (< -1 0)) % 31.80/32.04 (define @t195 () (= (* 1 (- @t185 -1)) (* 1 @t126))) % 31.80/32.04 (define @t196 () (= @t185 -1)) % 31.80/32.04 (define @t197 () (= @t196 @t128)) % 31.80/32.04 (define @t198 () (= @t187 1)) % 31.80/32.04 (define @t199 () (= (* -1 (- @t187 1)) (* -1 (- @t118 @t117)))) % 31.80/32.04 (define @t200 () (= @t198 @t119)) % 31.80/32.04 (define @t201 () (= (* 1 (- @t188 0)) (* 1 (- @t53 @t116)))) % 31.80/32.04 (define @t202 () (= @t188 0)) % 31.80/32.04 (define @t203 () (= @t202 @t156)) % 31.80/32.04 (define @t204 () (= (* 1 (- @t189 -1)) (* 1 @t55))) % 31.80/32.04 (define @t205 () (= @t189 -1)) % 31.80/32.04 (define @t206 () (= @t205 @t57)) % 31.80/32.04 (define @t207 () (= (* 1 (- @t190 0)) (* 1 (- @t118 @t125)))) % 31.80/32.04 (define @t208 () (= @t190 0)) % 31.80/32.04 (define @t209 () (= @t208 @t165)) % 31.80/32.04 (define @t210 () (= @t191 0)) % 31.80/32.04 (define @t211 () (= (* 1 (- @t191 0)) (* 1 (- @t43 @t123)))) % 31.80/32.04 (define @t212 () (= @t210 @t167)) % 31.80/32.04 (define @t213 () (not @t85)) % 31.80/32.04 (define @t214 () (not @t77)) % 31.80/32.04 (define @t215 () (>= @t43 4)) % 31.80/32.04 (define @t216 () (* -1 -1)) % 31.80/32.04 (define @t217 () (* -1 4)) % 31.80/32.04 (define @t218 () (+ @t217 @t170 @t216 @t170 1 @t216 0 0)) % 31.80/32.04 (define @t219 () (* -1 @t43)) % 31.80/32.04 (define @t220 () (* 0 @t47)) % 31.80/32.04 (define @t221 () (+ @t125 @t181 @t175 @t179 @t177 @t219 @t53 @t174 @t220 @t43)) % 31.80/32.04 (define @t222 () (+ @t219 (* -1 @t190) (* -1 @t189) (* -1 @t188) @t187 (* -1 @t185) @t191 @t47)) % 31.80/32.04 (define @t223 () (and @t48 @t167 @t128 @t119 @t156 @t57 @t165 @t45 @t159)) % 31.80/32.04 (assume @p1 (forall (@list @t1) (not (tptp.in @t1 tptp.empty)))) % 31.80/32.04 (assume @p2 (forall (@list @t3 @t2) (tptp.in @t3 (tptp.add @t3 @t2)))) % 31.80/32.04 (assume @p3 (forall (@list @t5 @t4) (not (tptp.in @t5 (tptp.remove @t5 @t4))))) % 31.80/32.04 (assume @p4 @t9) % 31.80/32.04 (assume @p5 @t13) % 31.80/32.04 (assume @p6 (forall (@list @t14) (>= (tptp.count @t14) 0))) % 31.80/32.04 (assume @p7 @t19) % 31.80/32.04 (assume @p8 @t29) % 31.80/32.04 (assume @p9 (forall (@list @t31 @t30) (= (tptp.in @t31 @t30) (= (tptp.count (tptp.add @t31 @t30)) (tptp.count @t30))))) % 31.80/32.04 (assume @p10 (forall (@list @t33 @t32) (= (tptp.in @t33 @t32) (= (tptp.count (tptp.remove @t33 @t32)) (- (tptp.count @t32) 1))))) % 31.80/32.04 (assume @p11 @t36) % 31.80/32.04 (assume @p12 (forall (@list @t38 @t37) (=> (tptp.in @t38 @t37) (= @t37 (tptp.add @t38 (tptp.remove @t38 @t37)))))) % 31.80/32.04 (assume @p13 @t45) % 31.80/32.04 (assume @p14 true) % 31.80/32.04 (step @p15 :rule eq-symm :args (@t46 @t16)) % 31.80/32.04 (step @p16 :rule refl :args (@t16)) % 31.80/32.04 (step @p17 :rule eq-symm :args (@t15 tptp.empty)) % 31.80/32.04 (step @p18 :rule cong :premises (@p17 @p16) :args (@t17)) % 31.80/32.04 (step @p19 :rule trans :premises (@p18 @p15)) % 31.80/32.04 (step @p20 :rule cong :premises (@p19) :args (@t19)) % 31.80/32.04 (step @p21 :rule eq_resolve :premises (@p7 @p20)) % 31.80/32.04 (step @p22 :rule bool-eq-true :args (@t48)) % 31.80/32.04 (step @p23 :rule eq-refl :args (tptp.empty)) % 31.80/32.04 (step @p24 :rule refl :args (@t48)) % 31.80/32.04 (step @p25 :rule cong :premises (@p24 @p23) :args (@t49)) % 31.80/32.04 (step @p26 :rule trans :premises (@p25 @p22)) % 31.80/32.04 (step @p27 :rule refl :args (@t50)) % 31.80/32.04 (step @p28 :rule cong :premises (@p27 @p26) :args ((=> @t50 @t49))) % 31.80/32.04 (assume-push @p531 @t50) % 31.80/32.04 (step @p30 :rule instantiate :premises (@p21) :args ((@list tptp.empty))) % 31.80/32.04 (step-pop @p532 :rule scope :premises (@p30)) % 31.80/32.04 (step @p31 :rule process_scope :premises (@p532) :args (@t49)) % 31.80/32.04 (step @p33 :rule eq_resolve :premises (@p31 @p28)) % 31.80/32.04 (step @p34 :rule implies_elim :premises (@p33)) % 31.80/32.04 (step @p35 :rule chain_m_resolution :premises (@p34 @p21) :args (@t48 @t51 (@list @t50))) % 31.80/32.04 (step @p36 :rule arith_poly_norm :args ((= @t22 @t52))) % 31.80/32.04 (step @p37 :rule refl :args (@t24)) % 31.80/32.04 (step @p38 :rule cong :premises (@p37 @p36) :args (@t25)) % 31.80/32.04 (step @p39 :rule refl :args (@t26)) % 31.80/32.04 (step @p40 :rule cong :premises (@p39 @p38) :args (@t27)) % 31.80/32.04 (step @p41 :rule cong :premises (@p40) :args (@t29)) % 31.80/32.04 (step @p42 :rule eq_resolve :premises (@p8 @p41)) % 31.80/32.04 (step @p43 :rule arith_poly_norm :args ((= (* 1 (- @t53 @t56)) (* -1 @t55)))) % 31.80/32.04 (step @p44 :rule arith_poly_norm_rel :premises (@p43) :args ((= @t58 @t57))) % 31.80/32.04 (step @p45 :rule refl :args (@t60)) % 31.80/32.04 (step @p46 :rule cong :premises (@p45 @p44) :args (@t61)) % 31.80/32.04 (step @p47 :rule refl :args (@t62)) % 31.80/32.04 (step @p48 :rule cong :premises (@p47 @p46) :args ((=> @t62 @t61))) % 31.80/32.04 (assume-push @p533 @t62) % 31.80/32.04 (step @p50 :rule instantiate :premises (@p42) :args ((@list 2 tptp.empty))) % 31.80/32.04 (step-pop @p534 :rule scope :premises (@p50)) % 31.80/32.04 (step @p51 :rule process_scope :premises (@p534) :args (@t61)) % 31.80/32.04 (step @p53 :rule eq_resolve :premises (@p51 @p48)) % 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and_intro :premises (@p375 @p396)) % 31.80/32.04 (step @p468 :rule modus_ponens :premises (@p467 @p466)) % 31.80/32.04 (step @p469 :rule arith_mult_neg :args (-1 @t208)) % 31.80/32.04 (step @p397 :rule arith_poly_norm :args (@t207)) % 31.80/32.04 (step @p398 :rule arith_poly_norm_rel :premises (@p397) :args (@t209)) % 31.80/32.04 (step @p399 :rule symm :premises (@p398)) % 31.80/32.04 (step @p400 :rule eq_resolve :premises (@p296 @p399)) % 31.80/32.04 (step @p470 :rule and_intro :premises (@p375 @p400)) % 31.80/32.04 (step @p471 :rule modus_ponens :premises (@p470 @p469)) % 31.80/32.04 (step @p472 :rule arith_mult_neg :args (-1 @t215)) % 31.80/32.04 (step @p473 :rule and_intro :premises (@p375 @p598)) % 31.80/32.04 (step @p474 :rule modus_ponens :premises (@p473 @p472)) % 31.80/32.04 (step @p475 :rule arith_sum_ub :premises (@p474 @p471 @p468 @p465 @p386 @p461 @p405 @p35)) % 31.80/32.04 (step @p476 false :rule eq_resolve :premises (@p475 @p458)) % 31.80/32.04 (step-pop @p599 :rule scope :premises (@p476)) % 31.80/32.04 (step @p477 :rule process_scope :premises (@p599) :args (false)) % 31.80/32.04 (step @p479 :rule eq_resolve :premises (@p477 @p441)) % 31.80/32.04 (step @p480 :rule eq_resolve :premises (@p479 @p440)) % 31.80/32.04 (step @p481 :rule arith_trichotomy :premises (@p13 @p597)) % 31.80/32.04 (step @p482 :rule int_tight_lb :premises (@p481)) % 31.80/32.04 (step @p483 false :rule contra :premises (@p482 @p480)) % 31.80/32.04 (step-pop @p600 :rule scope :premises (@p483)) % 31.80/32.04 (step-pop @p601 :rule scope :premises (@p600)) % 31.80/32.04 (step-pop @p602 :rule scope :premises (@p601)) % 31.80/32.04 (step-pop @p603 :rule scope :premises (@p602)) % 31.80/32.04 (step-pop @p604 :rule scope :premises (@p603)) % 31.80/32.04 (step-pop @p605 :rule scope :premises (@p604)) % 31.80/32.04 (step-pop @p606 :rule scope :premises (@p605)) % 31.80/32.04 (step-pop @p607 :rule scope :premises (@p606)) % 31.80/32.04 (step-pop @p608 :rule scope :premises (@p607)) % 31.80/32.04 (step @p484 :rule process_scope :premises (@p608) :args (false)) % 31.80/32.04 (assume-push @p609 @t45) % 31.80/32.04 (assume-push @p610 @t48) % 31.80/32.04 (assume-push @p611 @t77) % 31.80/32.04 (assume-push @p612 @t57) % 31.80/32.04 (assume-push @p613 @t159) % 31.80/32.04 (assume-push @p614 @t85) % 31.80/32.04 (assume-push @p615 @t119) % 31.80/32.04 (assume-push @p616 @t128) % 31.80/32.04 (assume-push @p617 @t77) % 31.80/32.04 (assume-push @p618 @t155) % 31.80/32.04 (step @p301 :rule cong :premises (@p277) :args (@t83)) % 31.80/32.04 (step @p302 :rule trans :premises (@p618 @p301)) % 31.80/32.04 (step-pop @p619 :rule scope :premises (@p302)) % 31.80/32.04 (step-pop @p620 :rule scope :premises (@p619)) % 31.80/32.04 (step @p504 :rule process_scope :premises (@p620) :args (@t156)) % 31.80/32.04 (assume-push @p621 @t85) % 31.80/32.04 (assume-push @p622 @t157) % 31.80/32.04 (step @p308 :rule cong :premises (@p130 @p92) :args (@t39)) % 31.80/32.04 (step @p309 :rule cong :premises (@p308) :args (@t53)) % 31.80/32.04 (step @p310 :rule trans :premises (@p309 @p614)) % 31.80/32.04 (step-pop @p623 :rule scope :premises (@p310)) % 31.80/32.04 (step-pop @p624 :rule scope :premises (@p623)) % 31.80/32.04 (step @p509 :rule process_scope :premises (@p624) :args (@t155)) % 31.80/32.04 (step @p314 :rule cong :premises (@p131) :args (@t53)) % 31.80/32.04 (step @p512 :rule and_intro :premises (@p614 @p314)) % 31.80/32.04 (step @p513 :rule modus_ponens :premises (@p512 @p509)) % 31.80/32.04 (step @p514 :rule and_intro :premises (@p92 @p513)) % 31.80/32.04 (step @p515 :rule modus_ponens :premises (@p514 @p504)) % 31.80/32.04 (step @p516 :rule and_intro :premises (@p35 @p295 @p291 @p206 @p515 @p64 @p296 @p13 @p613)) % 31.80/32.04 (step-pop @p625 :rule scope :premises (@p516)) % 31.80/32.04 (step-pop @p626 :rule scope :premises (@p625)) % 31.80/32.04 (step-pop @p627 :rule scope :premises (@p626)) % 31.80/32.04 (step-pop @p628 :rule scope :premises (@p627)) % 31.80/32.04 (step-pop @p629 :rule scope :premises (@p628)) % 31.80/32.04 (step-pop @p630 :rule scope :premises (@p629)) % 31.80/32.04 (step-pop @p631 :rule scope :premises (@p630)) % 31.80/32.04 (step-pop @p632 :rule scope :premises (@p631)) % 31.80/32.04 (step @p517 :rule process_scope :premises (@p632) :args (@t223)) % 31.80/32.04 (step @p526 :rule implies_elim :premises (@p517)) % 31.80/32.04 (step @p527 :rule resolution :premises (@p526 @p484) :args (true @t223)) % 31.80/32.04 (step @p528 :rule not_and :premises (@p527)) % 31.80/32.04 (step @p529 :rule eq_resolve :premises (@p528 @p430)) % 31.80/32.04 (step @p530 false :rule chain_m_resolution :premises (@p529 @p425 @p291 @p206 @p155 @p92 @p64 @p35 @p13) :args (false (@list false false false false false false false true) (@list @t159 @t128 @t119 @t85 @t77 @t57 @t48 @t44))) % 31.80/32.04 ) % 31.80/32.04 % SZS output end Proof % 31.80/32.04 % cvc5 exiting %------------------------------------------------------------------------------