%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : TIM009_1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n016.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 09:15:37 AM UTC 2026 % Result : Theorem 2.09s 2.66s % Output : Proof 2.09s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : TIM009_1 : TPTP v9.3.0. Released v9.3.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n016.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 : Wed Jun 3 01:13:54 EDT 2026 % 0.17/0.35 % CPUTime : % 0.31/0.52 %----Proving TF0_ARI % 2.09/2.66 --- Run --finite-model-find --decision=internal at 45... % 2.09/2.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 2.09/2.66 % SZS status Theorem % 2.09/2.66 % SZS output start Proof % 2.09/2.66 ( % 2.09/2.66 (declare-sort tptp.time 0) % 2.09/2.66 (declare-sort tptp.date 0) % 2.09/2.66 (declare-sort tptp.day_name 0) % 2.09/2.66 (declare-const tptp.is_leap_year (-> Int Bool)) % 2.09/2.66 (declare-const tptp.zeller_prep (-> Int Int Int Int Int Int Bool)) % 2.09/2.66 (declare-const tptp.nth_weekday_date (-> Int tptp.day_name Int Int tptp.date Bool)) % 2.09/2.66 (declare-const tptp.calc_nth_offset (-> Int Int Int Bool)) % 2.09/2.66 (declare-const tptp.sunday tptp.day_name) % 2.09/2.66 (declare-const tptp.is_days_in_year (-> Int Int Bool)) % 2.09/2.66 (declare-const tptp.is_days_in_month (-> Int Int Int Bool)) % 2.09/2.66 (declare-const tptp.map_name_to_int (-> tptp.day_name Int Bool)) % 2.09/2.66 (declare-const tptp.thursday tptp.day_name) % 2.09/2.66 (declare-const tptp.valid_day (-> Int Bool)) % 2.09/2.66 (declare-const tptp.monday tptp.day_name) % 2.09/2.66 (declare-const tptp.calc_date (-> Int Int Int tptp.date Bool)) % 2.09/2.66 (declare-const tptp.map_iso (-> Int tptp.day_name Bool)) % 2.09/2.66 (declare-const tptp.ymd (-> Int Int Int tptp.date)) % 2.09/2.66 (declare-const tptp.weekday (-> tptp.date tptp.day_name Bool)) % 2.09/2.66 (declare-const tptp.friday tptp.day_name) % 2.09/2.66 (declare-const tptp.normalize_time (-> Int Int Int Int Int Int Int Bool)) % 2.09/2.66 (declare-const tptp.wednesday tptp.day_name) % 2.09/2.66 (declare-const tptp.calc_datetime (-> Int Int Int Int Int Int Int Int tptp.time Bool)) % 2.09/2.66 (declare-const tptp.saturday tptp.day_name) % 2.09/2.66 (declare-const tptp.tuesday tptp.day_name) % 2.09/2.66 (declare-const tptp.dt (-> Int Int Int Int Int tptp.time)) % 2.09/2.66 (define @t1 () (@var "D" Int)) % 2.09/2.66 (define @t2 () (> @t1 0)) % 2.09/2.66 (define @t3 () (and @t2 (<= @t1 31))) % 2.09/2.66 (define @t4 () (tptp.valid_day @t1)) % 2.09/2.66 (define @t5 () (= @t4 @t3)) % 2.09/2.66 (define @t6 () (@list @t1)) % 2.09/2.66 (define @t7 () (forall @t6 @t5)) % 2.09/2.66 (define @t8 () (tptp.ymd 2025 1 1)) % 2.09/2.66 (define @t9 () (@var "DD" Int)) % 2.09/2.66 (define @t10 () (@var "EM" Int)) % 2.09/2.66 (define @t11 () (@var "EH" Int)) % 2.09/2.66 (define @t12 () (@var "AM" Int)) % 2.09/2.66 (define @t13 () (@var "AH" Int)) % 2.09/2.66 (define @t14 () (@var "SM" Int)) % 2.09/2.66 (define @t15 () (@var "SH" Int)) % 2.09/2.66 (define @t16 () (to_real 24)) % 2.09/2.66 (define @t17 () (@var "TotalH" Int)) % 2.09/2.66 (define @t18 () (to_real @t17)) % 2.09/2.66 (define @t19 () (/ @t18 @t16)) % 2.09/2.66 (define @t20 () (ite (>= @t16 0/1) (to_int @t19) (- (to_int (- @t19))))) % 2.09/2.66 (define @t21 () (@var "NormM" Int)) % 2.09/2.66 (define @t22 () (@var "CarryH" Int)) % 2.09/2.66 (define @t23 () (to_real 60)) % 2.09/2.66 (define @t24 () (@var "TotalM" Int)) % 2.09/2.66 (define @t25 () (to_real @t24)) % 2.09/2.66 (define @t26 () (/ @t25 @t23)) % 2.09/2.66 (define @t27 () (ite (>= @t23 0/1) (to_int @t26) (- (to_int (- @t26))))) % 2.09/2.66 (define @t28 () (@var "ResMin" Int)) % 2.09/2.66 (define @t29 () (@var "ResH" Int)) % 2.09/2.66 (define @t30 () (@var "ResD" Int)) % 2.09/2.66 (define @t31 () (@var "ResM" Int)) % 2.09/2.66 (define @t32 () (@var "ResY" Int)) % 2.09/2.66 (define @t33 () (@var "AD" Int)) % 2.09/2.66 (define @t34 () (@var "Min" Int)) % 2.09/2.66 (define @t35 () (@var "H" Int)) % 2.09/2.66 (define @t36 () (@var "M" Int)) % 2.09/2.66 (define @t37 () (@var "Y" Int)) % 2.09/2.66 (define @t38 () (@var "TimeDayDelta" Int)) % 2.09/2.66 (define @t39 () (@var "Res" tptp.date)) % 2.09/2.66 (define @t40 () (tptp.calc_date @t1 @t36 @t37 @t39)) % 2.09/2.66 (define @t41 () (+ @t37 400)) % 2.09/2.66 (define @t42 () (> @t1 200)) % 2.09/2.66 (define @t43 () (= @t36 1)) % 2.09/2.66 (define @t44 () (@list @t1 @t36 @t37 @t39)) % 2.09/2.66 (define @t45 () (+ @t1 36524)) % 2.09/2.66 (define @t46 () (- @t37 10)) % 2.09/2.66 (define @t47 () (tptp.calc_date (+ @t1 3652) 1 @t46 @t39)) % 2.09/2.66 (define @t48 () (to_real 4)) % 2.09/2.66 (define @t49 () (to_real @t46)) % 2.09/2.66 (define @t50 () (/ @t49 @t48)) % 2.09/2.66 (define @t51 () (>= @t48 0/1)) % 2.09/2.66 (define @t52 () (to_int (- @t49 (* (to_real (ite @t51 (to_int @t50) (- (to_int (- @t50))))) @t48)))) % 2.09/2.66 (define @t53 () (- 3652)) % 2.09/2.66 (define @t54 () (<= @t1 @t53)) % 2.09/2.66 (define @t55 () (=> (tptp.calc_date (- @t1 1461) 1 (+ @t37 4) @t39) @t40)) % 2.09/2.66 (define @t56 () (> @t1 1461)) % 2.09/2.66 (define @t57 () (@var "NextW_Name" tptp.day_name)) % 2.09/2.66 (define @t58 () (+ @t36 1)) % 2.09/2.66 (define @t59 () (@var "NextW_Int" Int)) % 2.09/2.66 (define @t60 () (to_real 7)) % 2.09/2.66 (define @t61 () (@var "DaysInM" Int)) % 2.09/2.66 (define @t62 () (@var "W_Int" Int)) % 2.09/2.66 (define @t63 () (to_real (+ @t62 @t61))) % 2.09/2.66 (define @t64 () (/ @t63 @t60)) % 2.09/2.66 (define @t65 () (>= @t60 0/1)) % 2.09/2.66 (define @t66 () (@var "W_Name" tptp.day_name)) % 2.09/2.66 (define @t67 () (tptp.ymd @t37 @t36 1)) % 2.09/2.66 (define @t68 () (- @t1 36524)) % 2.09/2.66 (define @t69 () (> @t1 36524)) % 2.09/2.66 (define @t70 () (to_real @t37)) % 2.09/2.66 (define @t71 () (/ @t70 @t48)) % 2.09/2.66 (define @t72 () (to_int (- @t70 (* (to_real (ite @t51 (to_int @t71) (- (to_int (- @t71))))) @t48)))) % 2.09/2.66 (define @t73 () (= @t72 0)) % 2.09/2.66 (define @t74 () (@var "Limit" Int)) % 2.09/2.66 (define @t75 () (- @t1 @t74)) % 2.09/2.66 (define @t76 () (=> (tptp.calc_date @t75 1 (+ @t37 1) @t39) @t40)) % 2.09/2.66 (define @t77 () (> @t1 @t74)) % 2.09/2.66 (define @t78 () (@list @t1 @t36 @t37 @t74 @t39)) % 2.09/2.66 (define @t79 () (@list @t37)) % 2.09/2.66 (define @t80 () (to_real 400)) % 2.09/2.66 (define @t81 () (/ @t70 @t80)) % 2.09/2.66 (define @t82 () (= (to_int (- @t70 (* (to_real (ite (>= @t80 0/1) (to_int @t81) (- (to_int (- @t81))))) @t80))) 0)) % 2.09/2.66 (define @t83 () (to_real 100)) % 2.09/2.66 (define @t84 () (/ @t70 @t83)) % 2.09/2.66 (define @t85 () (>= @t83 0/1)) % 2.09/2.66 (define @t86 () (ite @t85 (to_int @t84) (- (to_int (- @t84))))) % 2.09/2.66 (define @t87 () (to_int (- @t70 (* (to_real @t86) @t83)))) % 2.09/2.66 (define @t88 () (= @t87 0)) % 2.09/2.66 (define @t89 () (tptp.ymd @t37 @t36 @t1)) % 2.09/2.66 (define @t90 () (tptp.calc_date @t1 @t36 @t37 @t89)) % 2.09/2.66 (define @t91 () (<= @t1 @t74)) % 2.09/2.66 (define @t92 () (tptp.is_days_in_month @t36 @t37 @t74)) % 2.09/2.66 (define @t93 () (and @t92 @t2 @t91)) % 2.09/2.66 (define @t94 () (=> @t93 @t90)) % 2.09/2.66 (define @t95 () (@list @t1 @t36 @t37 @t74)) % 2.09/2.66 (define @t96 () (forall @t95 @t94)) % 2.09/2.66 (define @t97 () (tptp.calc_date @t75 @t58 @t37 @t39)) % 2.09/2.66 (define @t98 () (=> @t97 @t40)) % 2.09/2.66 (define @t99 () (= @t36 12)) % 2.09/2.66 (define @t100 () (not @t99)) % 2.09/2.66 (define @t101 () (and @t92 @t77 @t100)) % 2.09/2.66 (define @t102 () (=> @t101 @t98)) % 2.09/2.66 (define @t103 () (forall @t78 @t102)) % 2.09/2.66 (define @t104 () (- @t36 1)) % 2.09/2.66 (define @t105 () (+ @t1 @t74)) % 2.09/2.66 (define @t106 () (not @t43)) % 2.09/2.66 (define @t107 () (<= @t1 0)) % 2.09/2.66 (define @t108 () (- @t37 1)) % 2.09/2.66 (define @t109 () (@var "S" Int)) % 2.09/2.66 (define @t110 () (@var "T" Int)) % 2.09/2.66 (define @t111 () (to_real (+ (- @t110 @t109) 7))) % 2.09/2.66 (define @t112 () (/ @t111 @t60)) % 2.09/2.66 (define @t113 () (@var "O" Int)) % 2.09/2.66 (define @t114 () (@var "FinalDay" Int)) % 2.09/2.66 (define @t115 () (@var "DName" tptp.day_name)) % 2.09/2.66 (define @t116 () (@var "N" Int)) % 2.09/2.66 (define @t117 () (@var "Offset" Int)) % 2.09/2.66 (define @t118 () (@var "TargetDayInt" Int)) % 2.09/2.66 (define @t119 () (@var "StartDayInt" Int)) % 2.09/2.66 (define @t120 () (@var "StartDayName" tptp.day_name)) % 2.09/2.66 (define @t121 () (@var "N2" tptp.day_name)) % 2.09/2.66 (define @t122 () (@var "N1" tptp.day_name)) % 2.09/2.66 (define @t123 () (@var "Dt" tptp.date)) % 2.09/2.66 (define @t124 () (@var "I2" Int)) % 2.09/2.66 (define @t125 () (@var "I1" Int)) % 2.09/2.66 (define @t126 () (@var "Nm" tptp.day_name)) % 2.09/2.66 (define @t127 () (to_real @t108)) % 2.09/2.66 (define @t128 () (/ @t127 @t83)) % 2.09/2.66 (define @t129 () (ite @t85 (to_int @t128) (- (to_int (- @t128))))) % 2.09/2.66 (define @t130 () (= @t36 2)) % 2.09/2.66 (define @t131 () (@list @t36 @t37)) % 2.09/2.66 (define @t132 () (not @t130)) % 2.09/2.66 (define @t133 () (@var "Name" tptp.day_name)) % 2.09/2.66 (define @t134 () (@var "Term2" Int)) % 2.09/2.66 (define @t135 () (to_real @t134)) % 2.09/2.66 (define @t136 () (/ @t135 @t60)) % 2.09/2.66 (define @t137 () (to_real (+ (to_int (- @t135 (* (to_real (ite @t65 (to_int @t136) (- (to_int (- @t136))))) @t60))) 7))) % 2.09/2.66 (define @t138 () (/ @t137 @t60)) % 2.09/2.66 (define @t139 () (@var "J" Int)) % 2.09/2.66 (define @t140 () (/ (to_real @t139) @t48)) % 2.09/2.66 (define @t141 () (@var "K" Int)) % 2.09/2.66 (define @t142 () (/ (to_real @t141) @t48)) % 2.09/2.66 (define @t143 () (@var "Term1" Int)) % 2.09/2.66 (define @t144 () (to_real 5)) % 2.09/2.66 (define @t145 () (@var "ZM" Int)) % 2.09/2.66 (define @t146 () (/ (to_real (* 13 (+ @t145 1))) @t144)) % 2.09/2.66 (define @t147 () (@var "ZY" Int)) % 2.09/2.66 (define @t148 () (tptp.is_days_in_month 2 2024 29)) % 2.09/2.66 (define @t149 () (tptp.calc_date @t1 1 @t37 @t39)) % 2.09/2.66 (define @t150 () (tptp.is_leap_year @t108)) % 2.09/2.66 (define @t151 () (@list @t1 @t37 @t39)) % 2.09/2.66 (define @t152 () (@var "W" tptp.day_name)) % 2.09/2.66 (define @t153 () (@var "Res2" tptp.date)) % 2.09/2.66 (define @t154 () (@var "Res1" tptp.date)) % 2.09/2.66 (define @t155 () (@var "D4" Int)) % 2.09/2.66 (define @t156 () (tptp.ymd @t37 @t36 @t155)) % 2.09/2.66 (define @t157 () (@var "D5" Int)) % 2.09/2.66 (define @t158 () (= @t1 4)) % 2.09/2.66 (define @t159 () (+ 30 5)) % 2.09/2.66 (define @t160 () (tptp.calc_date @t159 1 2024 @t89)) % 2.09/2.66 (define @t161 () (and @t160 @t130 @t158 @t4)) % 2.09/2.66 (define @t162 () (@list @t37 @t36 @t1)) % 2.09/2.66 (define @t163 () (exists @t162 @t161)) % 2.09/2.66 (define @t164 () (not @t163)) % 2.09/2.66 (define @t165 () (+ 1 @t36)) % 2.09/2.66 (define @t166 () (+ @t1 (* -1 @t74))) % 2.09/2.66 (define @t167 () (tptp.calc_date @t166 @t165 @t37 @t39)) % 2.09/2.66 (define @t168 () (not @t167)) % 2.09/2.66 (define @t169 () (>= @t166 1)) % 2.09/2.66 (define @t170 () (not @t169)) % 2.09/2.66 (define @t171 () (not @t92)) % 2.09/2.66 (define @t172 () (or @t171 @t170 @t99 @t168 @t40)) % 2.09/2.66 (define @t173 () (not @t100)) % 2.09/2.66 (define @t174 () (or @t171 @t170 @t173)) % 2.09/2.66 (define @t175 () (=> @t167 @t40)) % 2.09/2.66 (define @t176 () (and @t92 @t169 @t100)) % 2.09/2.66 (define @t177 () (+ @t74 1)) % 2.09/2.66 (define @t178 () (>= @t1 @t177)) % 2.09/2.66 (define @t179 () (>= @t1 1)) % 2.09/2.66 (define @t180 () (not @t179)) % 2.09/2.66 (define @t181 () (or @t171 @t180 @t169 @t90)) % 2.09/2.66 (define @t182 () (not @t170)) % 2.09/2.66 (define @t183 () (or @t171 @t180 @t182)) % 2.09/2.66 (define @t184 () (and @t92 @t179 @t170)) % 2.09/2.66 (define @t185 () (+ 0 1)) % 2.09/2.66 (define @t186 () (>= @t1 @t185)) % 2.09/2.66 (define @t187 () (tptp.ymd 2024 2 4)) % 2.09/2.66 (define @t188 () (tptp.calc_date 4 2 2024 @t187)) % 2.09/2.66 (define @t189 () (not @t148)) % 2.09/2.66 (define @t190 () (or @t189 @t188)) % 2.09/2.66 (define @t191 () (* -1 29)) % 2.09/2.66 (define @t192 () (+ 4 @t191)) % 2.09/2.66 (define @t193 () (>= @t192 1)) % 2.09/2.66 (define @t194 () (>= 4 1)) % 2.09/2.66 (define @t195 () (not @t194)) % 2.09/2.66 (define @t196 () (or @t189 @t195 @t193 @t188)) % 2.09/2.66 (define @t197 () (forall @t95 @t181)) % 2.09/2.66 (define @t198 () (@list false)) % 2.09/2.66 (define @t199 () (+ 31 1)) % 2.09/2.66 (define @t200 () (>= @t1 @t199)) % 2.09/2.66 (define @t201 () (tptp.valid_day 4)) % 2.09/2.66 (define @t202 () (>= 4 32)) % 2.09/2.66 (define @t203 () (not @t202)) % 2.09/2.66 (define @t204 () (and @t194 @t203)) % 2.09/2.66 (define @t205 () (= @t201 @t204)) % 2.09/2.66 (define @t206 () (forall @t6 (= @t4 (and @t179 (not (>= @t1 32)))))) % 2.09/2.66 (define @t207 () (not (tptp.calc_date 35 1 2024 (tptp.ymd @t37 2 4)))) % 2.09/2.66 (define @t208 () (forall @t79 @t207)) % 2.09/2.66 (define @t209 () (not @t201)) % 2.09/2.66 (define @t210 () (or @t209 @t208)) % 2.09/2.66 (define @t211 () (or @t209 @t207)) % 2.09/2.66 (define @t212 () (or @t207 @t209)) % 2.09/2.66 (define @t213 () (= 4 4)) % 2.09/2.66 (define @t214 () (not @t213)) % 2.09/2.66 (define @t215 () (or @t207 @t214 @t209)) % 2.09/2.66 (define @t216 () (not @t4)) % 2.09/2.66 (define @t217 () (not @t158)) % 2.09/2.66 (define @t218 () (not (tptp.calc_date 35 1 2024 (tptp.ymd @t37 2 @t1)))) % 2.09/2.66 (define @t219 () (or @t217 @t218 @t217 @t216)) % 2.09/2.66 (define @t220 () (or @t218 @t217 @t216)) % 2.09/2.66 (define @t221 () (forall @t6 @t220)) % 2.09/2.66 (define @t222 () (forall @t79 @t221)) % 2.09/2.66 (define @t223 () (@list @t37 @t1)) % 2.09/2.66 (define @t224 () (= 2 2)) % 2.09/2.66 (define @t225 () (not @t224)) % 2.09/2.66 (define @t226 () (or @t218 @t225 @t217 @t216)) % 2.09/2.66 (define @t227 () (tptp.calc_date 35 1 2024 @t89)) % 2.09/2.66 (define @t228 () (not @t227)) % 2.09/2.66 (define @t229 () (or @t132 @t228 @t132 @t217 @t216)) % 2.09/2.66 (define @t230 () (@list @t36)) % 2.09/2.66 (define @t231 () (or @t228 @t132 @t217 @t216)) % 2.09/2.66 (define @t232 () (forall @t230 @t231)) % 2.09/2.66 (define @t233 () (forall @t223 @t232)) % 2.09/2.66 (define @t234 () (forall (@list @t37 @t1 @t36) @t231)) % 2.09/2.66 (define @t235 () (and @t227 @t130 @t158 @t4)) % 2.09/2.66 (define @t236 () (forall @t162 (not @t235))) % 2.09/2.66 (define @t237 () (not @t236)) % 2.09/2.66 (define @t238 () (@list 2024)) % 2.09/2.66 (define @t239 () (tptp.calc_date 35 1 2024 @t187)) % 2.09/2.66 (define @t240 () (not @t188)) % 2.09/2.66 (define @t241 () (tptp.is_days_in_month 1 2024 31)) % 2.09/2.66 (define @t242 () (not @t241)) % 2.09/2.66 (define @t243 () (or @t242 @t240 @t239)) % 2.09/2.66 (define @t244 () (not @t243)) % 2.09/2.66 (define @t245 () (+ 1 1)) % 2.09/2.66 (define @t246 () (* -1 31)) % 2.09/2.66 (define @t247 () (+ 35 @t246)) % 2.09/2.66 (define @t248 () (tptp.calc_date @t247 @t245 2024 @t187)) % 2.09/2.66 (define @t249 () (not @t248)) % 2.09/2.66 (define @t250 () (= 1 12)) % 2.09/2.66 (define @t251 () (>= @t247 1)) % 2.09/2.66 (define @t252 () (not @t251)) % 2.09/2.66 (define @t253 () (or @t242 @t252 @t250 @t249 @t239)) % 2.09/2.66 (define @t254 () (forall @t78 @t172)) % 2.09/2.66 (assume @p1 @t7) % 2.09/2.66 (assume @p2 (tptp.weekday (tptp.ymd 2024 1 1) tptp.monday)) % 2.09/2.66 (assume @p3 (tptp.weekday (tptp.ymd 2024 2 1) tptp.thursday)) % 2.09/2.66 (assume @p4 (tptp.weekday (tptp.ymd 2024 3 1) tptp.friday)) % 2.09/2.66 (assume @p5 (tptp.weekday (tptp.ymd 2024 4 1) tptp.monday)) % 2.09/2.66 (assume @p6 (tptp.weekday (tptp.ymd 2024 5 1) tptp.wednesday)) % 2.09/2.66 (assume @p7 (tptp.weekday @t8 tptp.wednesday)) % 2.09/2.66 (assume @p8 (tptp.weekday (tptp.ymd 2025 2 1) tptp.saturday)) % 2.09/2.66 (assume @p9 (tptp.weekday (tptp.ymd 2025 3 1) tptp.saturday)) % 2.09/2.66 (assume @p10 (tptp.weekday (tptp.ymd 2025 11 1) tptp.saturday)) % 2.09/2.66 (assume @p11 (tptp.weekday (tptp.ymd 1776 1 1) tptp.monday)) % 2.09/2.66 (assume @p12 (tptp.weekday (tptp.ymd 1969 1 1) tptp.wednesday)) % 2.09/2.66 (assume @p13 (tptp.weekday (tptp.ymd 1985 1 1) tptp.tuesday)) % 2.09/2.66 (assume @p14 (tptp.weekday (tptp.ymd 1600 1 1) tptp.saturday)) % 2.09/2.66 (assume @p15 (tptp.calc_date 0 3 2024 (tptp.ymd 2024 2 29))) % 2.09/2.66 (assume @p16 (tptp.calc_date 0 3 2025 (tptp.ymd 2025 2 28))) % 2.09/2.66 (assume @p17 (tptp.calc_date 0 1 2025 (tptp.ymd 2024 12 31))) % 2.09/2.66 (assume @p18 (tptp.calc_date 0 1 2024 (tptp.ymd 2023 12 31))) % 2.09/2.66 (assume @p19 (tptp.calc_date 32 12 2024 @t8)) % 2.09/2.66 (assume @p20 (forall (@list @t15 @t14 @t13 @t12 @t11 @t10 @t9 @t24 @t21 @t22 @t17) (=> (and (= @t24 (+ @t14 @t12)) (= @t21 (to_int (- @t25 (* (to_real @t27) @t23)))) (= @t22 @t27) (= @t17 (+ @t15 (+ @t13 @t22))) (= @t11 (to_int (- @t18 (* (to_real @t20) @t16)))) (= @t10 @t21) (= @t9 @t20)) (tptp.normalize_time @t15 @t14 @t13 @t12 @t11 @t10 @t9)))) % 2.09/2.66 (assume @p21 (forall (@list @t37 @t36 @t1 @t35 @t34 @t33 @t13 @t12 @t32 @t31 @t30 @t29 @t28 @t38) (=> (and (tptp.normalize_time @t35 @t34 @t13 @t12 @t29 @t28 @t38) (tptp.calc_date (+ @t1 (+ @t33 @t38)) @t36 @t37 (tptp.ymd @t32 @t31 @t30))) (tptp.calc_datetime @t37 @t36 @t1 @t35 @t34 @t33 @t13 @t12 (tptp.dt @t32 @t31 @t30 @t29 @t28))))) % 2.09/2.66 (assume @p22 (forall @t44 (=> (and @t43 (> @t1 146097) @t42) (=> (tptp.calc_date (- @t1 146097) 1 @t41 @t39) @t40)))) % 2.09/2.66 (assume @p23 (forall @t44 (=> (and @t43 (<= @t1 (- 146097))) (=> (tptp.calc_date (+ @t1 146097) 1 (- @t37 400) @t39) @t40)))) % 2.09/2.66 (assume @p24 (forall @t44 (=> (and @t43 (<= @t1 (- 36524))) (=> (tptp.calc_date @t45 1 (- @t37 100) @t39) @t40)))) % 2.09/2.66 (assume @p25 (forall @t44 (=> (and @t43 @t54 (or (= @t52 1) (= @t52 2))) (=> @t47 @t40)))) % 2.09/2.66 (assume @p26 (forall @t44 (=> (and @t43 (<= @t1 (- 3653)) (or (= @t52 0) (= @t52 3))) (=> (tptp.calc_date (+ @t1 3653) 1 @t46 @t39) @t40)))) % 2.09/2.66 (assume @p27 (forall @t44 (=> (and @t43 @t56 @t42 (> @t37 2000) (< @t37 2095)) @t55))) % 2.09/2.66 (assume @p28 (forall (@list @t37 @t36 @t66 @t62 @t61 @t59 @t57) (=> (and (tptp.weekday @t67 @t66) (tptp.is_days_in_month @t36 @t37 @t61) (tptp.map_name_to_int @t66 @t62) (= @t59 (to_int (- @t63 (* (to_real (ite @t65 (to_int @t64) (- (to_int (- @t64))))) @t60)))) (tptp.map_iso @t59 @t57)) (tptp.weekday (tptp.ymd @t37 @t58 1) @t57)))) % 2.09/2.66 (assume @p29 (forall @t44 (=> (and @t43 @t69 @t42) (=> (tptp.calc_date @t68 1 (+ @t37 100) @t39) @t40)))) % 2.09/2.66 (assume @p30 (forall @t6 (=> (> @t1 100000) @t69))) % 2.09/2.66 (assume @p31 (forall @t6 (=> (> @t1 400000) (> (- @t1 365240) 3652)))) % 2.09/2.66 (assume @p32 (forall @t6 (=> (> @t1 40000) (> @t68 1461)))) % 2.09/2.66 (assume @p33 (forall @t6 (=> (< @t1 (- 41000)) (< @t45 @t53)))) % 2.09/2.66 (assume @p34 (forall @t44 (=> (and @t43 (> @t1 3653) @t42 (or @t73 (= @t72 3))) (=> (tptp.calc_date (- @t1 3653) 1 (+ @t37 10) @t39) @t40)))) % 2.09/2.66 (assume @p35 (forall @t44 (=> (and @t43 @t56 @t42 @t73) @t55))) % 2.09/2.66 (assume @p36 (forall @t78 (=> (and @t43 (tptp.is_days_in_year @t37 @t74) @t77 @t42) @t76))) % 2.09/2.66 (assume @p37 (forall @t79 (tptp.is_days_in_month 1 @t37 31))) % 2.09/2.66 (assume @p38 (forall @t79 (and (=> (and @t73 (or (not @t88) @t82)) (tptp.is_days_in_month 2 @t37 29)) (=> (or (not @t73) (and @t88 (not @t82))) (tptp.is_days_in_month 2 @t37 28))))) % 2.09/2.66 (assume @p39 (forall @t79 (tptp.is_days_in_month 3 @t37 31))) % 2.09/2.66 (assume @p40 (forall @t79 (tptp.is_days_in_month 4 @t37 30))) % 2.09/2.66 (assume @p41 (forall @t79 (tptp.is_days_in_month 5 @t37 31))) % 2.09/2.66 (assume @p42 (forall @t79 (tptp.is_days_in_month 6 @t37 30))) % 2.09/2.66 (assume @p43 (forall @t79 (tptp.is_days_in_month 7 @t37 31))) % 2.09/2.66 (assume @p44 (forall @t79 (tptp.is_days_in_month 8 @t37 31))) % 2.09/2.66 (assume @p45 (forall @t79 (tptp.is_days_in_month 9 @t37 30))) % 2.09/2.66 (assume @p46 (forall @t79 (tptp.is_days_in_month 10 @t37 31))) % 2.09/2.66 (assume @p47 (forall @t79 (tptp.is_days_in_month 11 @t37 30))) % 2.09/2.66 (assume @p48 (forall @t79 (tptp.is_days_in_month 12 @t37 31))) % 2.09/2.66 (assume @p49 @t96) % 2.09/2.66 (assume @p50 @t103) % 2.09/2.66 (assume @p51 (forall @t78 (=> (and @t92 @t77 @t99) @t76))) % 2.09/2.66 (assume @p52 (forall @t78 (=> (and @t107 @t106) (=> (and (tptp.is_days_in_month @t104 @t37 @t74) (tptp.calc_date @t105 @t104 @t37 @t39)) @t40)))) % 2.09/2.66 (assume @p53 (forall @t78 (=> (and @t107 @t43) (=> (and (tptp.is_days_in_month 12 @t108 @t74) (tptp.calc_date @t105 12 @t108 @t39)) @t40)))) % 2.09/2.66 (assume @p54 (tptp.map_name_to_int tptp.saturday 0)) % 2.09/2.66 (assume @p55 (tptp.map_name_to_int tptp.sunday 1)) % 2.09/2.66 (assume @p56 (tptp.map_name_to_int tptp.monday 2)) % 2.09/2.66 (assume @p57 (tptp.map_name_to_int tptp.tuesday 3)) % 2.09/2.66 (assume @p58 (tptp.map_name_to_int tptp.wednesday 4)) % 2.09/2.66 (assume @p59 (tptp.map_name_to_int tptp.thursday 5)) % 2.09/2.66 (assume @p60 (tptp.map_name_to_int tptp.friday 6)) % 2.09/2.66 (assume @p61 (forall (@list @t109 @t110 @t113) (= (tptp.calc_nth_offset @t109 @t110 @t113) (and (<= 0 @t109) (<= @t109 6) (<= 0 @t110) (<= @t110 6) (<= 0 @t113) (<= @t113 6) (= @t113 (to_int (- @t111 (* (to_real (ite @t65 (to_int @t112) (- (to_int (- @t112))))) @t60)))))))) % 2.09/2.66 (assume @p62 (forall (@list @t116 @t115 @t36 @t37 @t120 @t119 @t118 @t117 @t114) (=> (and (tptp.weekday @t67 @t120) (tptp.map_name_to_int @t120 @t119) (tptp.map_name_to_int @t115 @t118) (tptp.calc_nth_offset @t119 @t118 @t117) (= @t114 (+ 1 (+ @t117 (* (- @t116 1) 7))))) (tptp.nth_weekday_date @t116 @t115 @t36 @t37 (tptp.ymd @t37 @t36 @t114))))) % 2.09/2.66 (assume @p63 (forall (@list @t123 @t122 @t121) (=> (and (tptp.weekday @t123 @t122) (tptp.weekday @t123 @t121)) (= @t122 @t121)))) % 2.09/2.66 (assume @p64 (forall (@list @t126 @t125 @t124) (=> (and (tptp.map_name_to_int @t126 @t125) (tptp.map_name_to_int @t126 @t124)) (= @t125 @t124)))) % 2.09/2.66 (assume @p65 (forall @t131 (=> (or @t43 @t130) (tptp.zeller_prep @t36 @t37 (+ @t36 12) @t108 (to_int (- @t127 (* (to_real @t129) @t83))) @t129)))) % 2.09/2.66 (assume @p66 (forall @t131 (=> (and @t106 @t132) (tptp.zeller_prep @t36 @t37 @t36 @t37 @t87 @t86)))) % 2.09/2.66 (assume @p67 (forall (@list @t37 @t36 @t1 @t133 @t145 @t147 @t141 @t139 @t143 @t134 @t35) (=> (and (> @t37 1582) (not (= @t37 2024)) (not (= @t37 2025)) (not (= @t37 1776)) (not (= @t37 1969)) (not (= @t37 1985)) (tptp.zeller_prep @t36 @t37 @t145 @t147 @t141 @t139) (= @t143 (ite (>= @t144 0/1) (to_int @t146) (- (to_int (- @t146))))) (= @t134 (+ @t1 (+ @t143 (+ @t141 (+ (ite @t51 (to_int @t142) (- (to_int (- @t142)))) (+ (ite @t51 (to_int @t140) (- (to_int (- @t140)))) (* 5 @t139))))))) (= @t35 (to_int (- @t137 (* (to_real (ite @t65 (to_int @t138) (- (to_int (- @t138))))) @t60)))) (tptp.map_iso @t35 @t133)) (tptp.weekday @t89 @t133)))) % 2.09/2.66 (assume @p68 (tptp.map_iso 0 tptp.saturday)) % 2.09/2.66 (assume @p69 (tptp.map_iso 1 tptp.sunday)) % 2.09/2.66 (assume @p70 (tptp.map_iso 2 tptp.monday)) % 2.09/2.66 (assume @p71 (tptp.map_iso 3 tptp.tuesday)) % 2.09/2.66 (assume @p72 (tptp.map_iso 4 tptp.wednesday)) % 2.09/2.66 (assume @p73 (tptp.map_iso 5 tptp.thursday)) % 2.09/2.66 (assume @p74 (tptp.map_iso 6 tptp.friday)) % 2.09/2.66 (assume @p75 (tptp.is_days_in_year 2024 366)) % 2.09/2.66 (assume @p76 (tptp.is_days_in_year 2025 365)) % 2.09/2.66 (assume @p77 (tptp.is_days_in_year 2026 365)) % 2.09/2.66 (assume @p78 (tptp.is_days_in_year 2027 365)) % 2.09/2.66 (assume @p79 (tptp.is_days_in_year 2028 366)) % 2.09/2.66 (assume @p80 (tptp.calc_date 1461 1 2025 (tptp.ymd 2028 12 31))) % 2.09/2.66 (assume @p81 (tptp.is_days_in_month 2 1776 29)) % 2.09/2.66 (assume @p82 @t148) % 2.09/2.66 (assume @p83 (forall @t151 (=> (and (<= @t1 (- 365)) (not @t150)) (=> (tptp.calc_date (+ @t1 365) 1 @t108 @t39) @t149)))) % 2.09/2.66 (assume @p84 (forall @t151 (=> (and (<= @t1 (- 366)) @t150) (=> (tptp.calc_date (+ @t1 366) 1 @t108 @t39) @t149)))) % 2.09/2.66 (assume @p85 (forall @t151 (=> @t54 (=> @t47 @t149)))) % 2.09/2.66 (assume @p86 (forall (@list @t37 @t36 @t1 @t152 @t154 @t153) (=> (and (tptp.calc_date @t1 @t36 @t37 @t154) (tptp.calc_date @t1 @t36 @t41 @t153)) (= (tptp.weekday @t154 @t152) (tptp.weekday @t153 @t152))))) % 2.09/2.66 (assume @p87 (forall (@list @t115 @t36 @t37 @t155 @t157) (=> (and (tptp.nth_weekday_date 4 @t115 @t36 @t37 @t156) (tptp.nth_weekday_date 5 @t115 @t36 @t37 (tptp.ymd @t37 @t36 @t157)) (tptp.is_days_in_month @t36 @t37 @t155) (not (tptp.is_days_in_month @t36 @t37 @t157))) (tptp.nth_weekday_date 5 @t115 @t36 @t37 @t156)))) % 2.09/2.66 (assume @p88 @t164) % 2.09/2.66 (assume @p89 true) % 2.09/2.66 (step @p90 :rule aci_norm :args ((= (or (or @t171 @t170 @t99) (or @t168 @t40)) @t172))) % 2.09/2.66 (step @p91 :rule bool-impl-elim :args (@t167 @t40)) % 2.09/2.66 (step @p92 :rule bool-double-not-elim :args (@t99)) % 2.09/2.66 (step @p93 :rule refl :args (@t170)) % 2.09/2.66 (step @p94 :rule refl :args (@t171)) % 2.09/2.66 (step @p95 :rule nary_cong :premises (@p94 @p93 @p92) :args (@t174)) % 2.09/2.66 (step @p96 :rule aci_norm :args ((= (or @t171 (or @t170 @t173)) @t174))) % 2.09/2.66 (step @p97 :rule trans :premises (@p96 @p95)) % 2.09/2.66 (step @p98 :rule bool-and-de-morgan :args (@t169 @t100 true)) % 2.09/2.66 (step @p99 :rule nary_cong :premises (@p94 @p98) :args ((or @t171 (not (and @t169 @t100))))) % 2.09/2.66 (step @p100 :rule bool-and-de-morgan :args (@t92 @t169 (and @t100))) % 2.09/2.66 (step @p101 :rule trans :premises (@p100 @p99)) % 2.09/2.66 (step @p102 :rule trans :premises (@p101 @p97)) % 2.09/2.66 (step @p103 :rule nary_cong :premises (@p102 @p91) :args ((or (not @t176) @t175))) % 2.09/2.66 (step @p104 :rule trans :premises (@p103 @p90)) % 2.09/2.66 (step @p105 :rule bool-impl-elim :args (@t176 @t175)) % 2.09/2.66 (step @p106 :rule trans :premises (@p105 @p104)) % 2.09/2.66 (step @p107 :rule cong :premises (@p106) :args ((forall @t78 (=> @t176 @t175)))) % 2.09/2.66 (step @p108 :rule refl :args (@t40)) % 2.09/2.66 (step @p109 :rule refl :args (@t39)) % 2.09/2.66 (step @p110 :rule refl :args (@t37)) % 2.09/2.66 (step @p111 :rule arith_poly_norm :args ((= @t58 @t165))) % 2.09/2.66 (step @p112 :rule arith_poly_norm :args ((= @t75 @t166))) % 2.09/2.66 (step @p113 :rule cong :premises (@p112 @p111 @p110 @p109) :args (@t97)) % 2.09/2.66 (step @p114 :rule cong :premises (@p113 @p108) :args (@t98)) % 2.09/2.66 (step @p115 :rule refl :args (@t100)) % 2.09/2.66 (step @p116 :rule bool-double-not-elim :args (@t169)) % 2.09/2.66 (step @p117 :rule arith_poly_norm :args ((= (* -1 (- @t1 @t177)) (* -1 (- @t166 1))))) % 2.09/2.66 (step @p118 :rule arith_poly_norm_rel :premises (@p117) :args ((= @t178 @t169))) % 2.09/2.66 (step @p119 :rule cong :premises (@p118) :args ((not @t178))) % 2.09/2.66 (step @p120 :rule arith-leq-norm :args (@t1 @t74)) % 2.09/2.66 (step @p121 :rule trans :premises (@p120 @p119)) % 2.09/2.66 (step @p122 :rule cong :premises (@p121) :args ((not @t91))) % 2.09/2.66 (step @p123 :rule trans :premises (@p122 @p116)) % 2.09/2.66 (step @p124 :rule arith-elim-leq :args (@t1 @t74)) % 2.09/2.66 (step @p125 :rule symm :premises (@p124)) % 2.09/2.66 (step @p126 :rule cong :premises (@p125) :args ((not (>= @t74 @t1)))) % 2.09/2.66 (step @p127 :rule arith-elim-gt :args (@t1 @t74)) % 2.09/2.66 (step @p128 :rule trans :premises (@p127 @p126)) % 2.09/2.66 (step @p129 :rule trans :premises (@p128 @p123)) % 2.09/2.66 (step @p130 :rule refl :args (@t92)) % 2.09/2.66 (step @p131 :rule nary_cong :premises (@p130 @p129 @p115) :args (@t101)) % 2.09/2.66 (step @p132 :rule cong :premises (@p131 @p114) :args (@t102)) % 2.09/2.66 (step @p133 :rule cong :premises (@p132) :args (@t103)) % 2.09/2.66 (step @p134 :rule trans :premises (@p133 @p107)) % 2.09/2.66 (step @p135 :rule eq_resolve :premises (@p50 @p134)) % 2.09/2.66 (step @p136 :rule aci_norm :args ((= (or (or @t171 @t180 @t169) @t90) @t181))) % 2.09/2.66 (step @p137 :rule refl :args (@t90)) % 2.09/2.66 (step @p138 :rule bool-double-not-elim :args (@t169)) % 2.09/2.66 (step @p139 :rule refl :args (@t180)) % 2.09/2.66 (step @p140 :rule nary_cong :premises (@p94 @p139 @p138) :args (@t183)) % 2.09/2.66 (step @p141 :rule aci_norm :args ((= (or @t171 (or @t180 @t182)) @t183))) % 2.09/2.66 (step @p142 :rule trans :premises (@p141 @p140)) % 2.09/2.66 (step @p143 :rule bool-and-de-morgan :args (@t179 @t170 true)) % 2.09/2.66 (step @p144 :rule nary_cong :premises (@p94 @p143) :args ((or @t171 (not (and @t179 @t170))))) % 2.09/2.66 (step @p145 :rule bool-and-de-morgan :args (@t92 @t179 (and @t170))) % 2.09/2.66 (step @p146 :rule trans :premises (@p145 @p144)) % 2.09/2.66 (step @p147 :rule trans :premises (@p146 @p142)) % 2.09/2.66 (step @p148 :rule nary_cong :premises (@p147 @p137) :args ((or (not @t184) @t90))) % 2.09/2.66 (step @p149 :rule trans :premises (@p148 @p136)) % 2.09/2.66 (step @p150 :rule bool-impl-elim :args (@t184 @t90)) % 2.09/2.66 (step @p151 :rule trans :premises (@p150 @p149)) % 2.09/2.66 (step @p152 :rule cong :premises (@p151) :args ((forall @t95 (=> @t184 @t90)))) % 2.09/2.66 (step @p153 :rule refl :args (@t90)) % 2.09/2.66 (step @p154 :rule bool-double-not-elim :args (@t179)) % 2.09/2.66 (step @p155 :rule evaluate :args (@t185)) % 2.09/2.66 (step @p156 :rule refl :args (@t1)) % 2.09/2.66 (step @p157 :rule cong :premises (@p156 @p155) :args (@t186)) % 2.09/2.66 (step @p158 :rule cong :premises (@p157) :args ((not @t186))) % 2.09/2.66 (step @p159 :rule arith-leq-norm :args (@t1 0)) % 2.09/2.66 (step @p160 :rule trans :premises (@p159 @p158)) % 2.09/2.66 (step @p161 :rule cong :premises (@p160) :args ((not @t107))) % 2.09/2.66 (step @p162 :rule trans :premises (@p161 @p154)) % 2.09/2.66 (step @p163 :rule arith-elim-leq :args (@t1 0)) % 2.09/2.66 (step @p164 :rule symm :premises (@p163)) % 2.09/2.66 (step @p165 :rule cong :premises (@p164) :args ((not (>= 0 @t1)))) % 2.09/2.66 (step @p166 :rule arith-elim-gt :args (@t1 0)) % 2.09/2.66 (step @p167 :rule trans :premises (@p166 @p165)) % 2.09/2.66 (step @p168 :rule trans :premises (@p167 @p162)) % 2.09/2.66 (step @p169 :rule nary_cong :premises (@p130 @p168 @p121) :args (@t93)) % 2.09/2.66 (step @p170 :rule cong :premises (@p169 @p153) :args (@t94)) % 2.09/2.66 (step @p171 :rule cong :premises (@p170) :args (@t96)) % 2.09/2.66 (step @p172 :rule trans :premises (@p171 @p152)) % 2.09/2.66 (step @p173 :rule eq_resolve :premises (@p49 @p172)) % 2.09/2.66 (step @p174 :rule aci_norm :args ((= (or @t189 false false @t188) @t190))) % 2.09/2.66 (step @p175 :rule refl :args (@t188)) % 2.09/2.66 (step @p176 :rule evaluate :args ((>= -25 1))) % 2.09/2.66 (step @p177 :rule refl :args (1)) % 2.09/2.66 (step @p178 :rule evaluate :args ((+ 4 -29))) % 2.09/2.66 (step @p179 :rule evaluate :args (@t191)) % 2.09/2.66 (step @p180 :rule refl :args (4)) % 2.09/2.66 (step @p181 :rule nary_cong :premises (@p180 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:rule cong :premises (@p225 @p224) :args ((=> @t206 @t205))) % 2.09/2.66 (assume-push @p344 @t206) % 2.09/2.66 (step @p228 :rule instantiate :premises (@p213) :args ((@list 4))) % 2.09/2.66 (step-pop @p345 :rule scope :premises (@p228)) % 2.09/2.66 (step @p229 :rule process_scope :premises (@p345) :args (@t205)) % 2.09/2.66 (step @p231 :rule eq_resolve :premises (@p229 @p226)) % 2.09/2.66 (step @p232 :rule implies_elim :premises (@p231)) % 2.09/2.66 (step @p233 :rule reordering :premises (@p232) :args ((or @t201 (not @t206)))) % 2.09/2.66 (step @p234 :rule chain_m_resolution :premises (@p233 @p213) :args (@t201 @t198 (@list @t206))) % 2.09/2.66 (step @p235 :rule bool-double-not-elim :args (@t210)) % 2.09/2.66 (step @p236 :rule quant-miniscope-or :args ((= (forall @t79 @t211) @t210))) % 2.09/2.66 (step @p237 :rule aci_norm :args ((= @t212 @t211))) % 2.09/2.66 (step @p238 :rule cong :premises (@p237) :args ((forall @t79 @t212))) % 2.09/2.66 (step @p239 :rule trans :premises (@p238 @p236)) % 2.09/2.66 (step @p240 :rule aci_norm :args ((= (or @t207 false @t209) @t212))) % 2.09/2.66 (step @p241 :rule refl :args (@t209)) % 2.09/2.66 (step @p242 :rule evaluate :args (@t213)) % 2.09/2.66 (step @p243 :rule cong :premises (@p242) :args (@t214)) % 2.09/2.66 (step @p244 :rule trans :premises (@p243 @p185)) % 2.09/2.66 (step @p245 :rule refl :args (@t207)) % 2.09/2.66 (step @p246 :rule nary_cong :premises (@p245 @p244 @p241) :args (@t215)) % 2.09/2.66 (step @p247 :rule trans :premises (@p246 @p240)) % 2.09/2.66 (step @p248 :rule cong :premises (@p247) :args ((forall @t79 @t215))) % 2.09/2.66 (step @p249 :rule trans :premises (@p248 @p239)) % 2.09/2.66 (step @p250 :rule quant-var-elim-eq :args ((= (forall @t6 @t219) @t215))) % 2.09/2.66 (step @p251 :rule aci_norm :args ((= @t220 @t219))) % 2.09/2.66 (step @p252 :rule cong :premises (@p251) :args (@t221)) % 2.09/2.66 (step @p253 :rule trans :premises (@p252 @p250)) % 2.09/2.66 (step @p254 :rule cong :premises (@p253) :args (@t222)) % 2.09/2.66 (step @p255 :rule quant-merge-prenex :args ((= @t222 (forall @t223 @t220)))) % 2.09/2.66 (step @p256 :rule symm :premises (@p255)) % 2.09/2.66 (step @p257 :rule trans :premises (@p256 @p254)) % 2.09/2.66 (step @p258 :rule trans :premises (@p257 @p249)) % 2.09/2.66 (step @p259 :rule aci_norm :args ((= (or @t218 false @t217 @t216) @t220))) % 2.09/2.66 (step @p260 :rule refl :args (@t216)) % 2.09/2.66 (step @p261 :rule refl :args (@t217)) % 2.09/2.66 (step @p262 :rule evaluate :args (@t224)) % 2.09/2.66 (step @p263 :rule cong :premises (@p262) :args (@t225)) % 2.09/2.66 (step @p264 :rule trans :premises (@p263 @p185)) % 2.09/2.66 (step @p265 :rule refl :args (@t218)) % 2.09/2.66 (step @p266 :rule nary_cong :premises (@p265 @p264 @p261 @p260) :args (@t226)) % 2.09/2.66 (step @p267 :rule trans :premises (@p266 @p259)) % 2.09/2.66 (step @p268 :rule cong :premises (@p267) :args ((forall @t223 @t226))) % 2.09/2.66 (step @p269 :rule trans :premises (@p268 @p258)) % 2.09/2.66 (step @p270 :rule quant-var-elim-eq :args ((= (forall @t230 @t229) @t226))) % 2.09/2.66 (step @p271 :rule aci_norm :args ((= @t231 @t229))) % 2.09/2.66 (step @p272 :rule cong :premises (@p271) :args (@t232)) % 2.09/2.66 (step @p273 :rule trans :premises (@p272 @p270)) % 2.09/2.66 (step @p274 :rule cong :premises (@p273) :args (@t233)) % 2.09/2.66 (step @p275 :rule quant-merge-prenex :args ((= @t233 @t234))) % 2.09/2.66 (step @p276 :rule symm :premises (@p275)) % 2.09/2.66 (step @p277 :rule quant_var_reordering :args ((= (forall @t162 @t231) @t234))) % 2.09/2.66 (step @p278 :rule trans :premises (@p277 @p276 @p274)) % 2.09/2.66 (step @p279 :rule trans :premises (@p278 @p269)) % 2.09/2.66 (step @p280 :rule aci_norm :args ((= (or @t228 (or @t132 (or @t217 @t216))) @t231))) % 2.09/2.66 (step @p281 :rule bool-and-de-morgan :args (@t158 @t4 true)) % 2.09/2.66 (step @p282 :rule refl :args (@t132)) % 2.09/2.66 (step @p283 :rule nary_cong :premises (@p282 @p281) :args ((or @t132 (not (and @t158 @t4))))) % 2.09/2.66 (step @p284 :rule bool-and-de-morgan :args (@t130 @t158 (and @t4))) % 2.09/2.66 (step @p285 :rule trans :premises (@p284 @p283)) % 2.09/2.66 (step @p286 :rule refl :args (@t228)) % 2.09/2.66 (step @p287 :rule nary_cong :premises (@p286 @p285) :args ((or @t228 (not (and @t130 @t158 @t4))))) % 2.09/2.66 (step @p288 :rule bool-and-de-morgan :args (@t227 @t130 (and @t158 @t4))) % 2.09/2.66 (step @p289 :rule trans :premises (@p288 @p287)) % 2.09/2.66 (step @p290 :rule trans :premises (@p289 @p280)) % 2.09/2.66 (step @p291 :rule cong :premises (@p290) :args (@t236)) % 2.09/2.66 (step @p292 :rule trans :premises (@p291 @p279)) % 2.09/2.66 (step @p293 :rule cong :premises (@p292) :args (@t237)) % 2.09/2.66 (step @p294 :rule exists-elim :args ((= (exists @t162 @t235) @t237))) % 2.09/2.66 (step @p295 :rule trans :premises (@p294 @p293)) % 2.09/2.66 (step @p296 :rule refl :args (@t158)) % 2.09/2.66 (step @p297 :rule refl :args (@t130)) % 2.09/2.66 (step @p298 :rule refl :args (@t89)) % 2.09/2.66 (step @p299 :rule refl :args (2024)) % 2.09/2.66 (step @p300 :rule evaluate :args (@t159)) % 2.09/2.66 (step @p301 :rule cong :premises (@p300 @p177 @p299 @p298) :args (@t160)) % 2.09/2.66 (step @p302 :rule nary_cong :premises (@p301 @p297 @p296 @p210) :args (@t161)) % 2.09/2.66 (step @p303 :rule cong :premises (@p302) :args (@t163)) % 2.09/2.66 (step @p304 :rule trans :premises (@p303 @p295)) % 2.09/2.66 (step @p305 :rule cong :premises (@p304) :args (@t164)) % 2.09/2.66 (step @p306 :rule trans :premises (@p305 @p235)) % 2.09/2.66 (step @p307 :rule eq_resolve :premises (@p88 @p306)) % 2.09/2.66 (step @p308 :rule chain_m_resolution :premises (@p307 @p234) :args (@t208 @t198 (@list @t201))) % 2.09/2.66 (step @p309 :rule instantiate :premises (@p308) :args (@t238)) % 2.09/2.66 (step @p310 :rule instantiate :premises (@p37) :args (@t238)) % 2.09/2.66 (step @p311 :rule cnf_or_pos :args (@t243)) % 2.09/2.66 (step @p312 :rule reordering :premises (@p311) :args ((or @t242 @t239 @t240 @t244))) % 2.09/2.66 (step @p313 :rule chain_m_resolution :premises (@p312 @p310 @p309 @p203) :args (@t244 (@list false true false) (@list @t241 @t239 @t188))) % 2.09/2.66 (step @p314 :rule aci_norm :args ((= (or @t242 false false @t240 @t239) @t243))) % 2.09/2.66 (step @p315 :rule refl :args (@t239)) % 2.09/2.66 (step @p316 :rule refl :args (@t187)) % 2.09/2.66 (step @p317 :rule evaluate :args (@t245)) % 2.09/2.66 (step @p318 :rule evaluate :args ((+ 35 -31))) % 2.09/2.66 (step @p319 :rule evaluate :args (@t246)) % 2.09/2.66 (step @p320 :rule refl :args (35)) % 2.09/2.66 (step @p321 :rule nary_cong :premises (@p320 @p319) :args (@t247)) % 2.09/2.66 (step @p322 :rule trans :premises (@p321 @p318)) % 2.09/2.66 (step @p323 :rule cong :premises (@p322 @p317 @p299 @p316) :args (@t248)) % 2.09/2.66 (step @p324 :rule cong :premises (@p323) :args (@t249)) % 2.09/2.66 (step @p325 :rule evaluate :args (@t250)) % 2.09/2.66 (step @p326 :rule cong :premises (@p322 @p177) :args (@t251)) % 2.09/2.66 (step @p327 :rule trans :premises (@p326 @p186)) % 2.09/2.66 (step @p328 :rule cong :premises (@p327) :args (@t252)) % 2.09/2.66 (step @p329 :rule trans :premises (@p328 @p185)) % 2.09/2.66 (step @p330 :rule refl :args (@t242)) % 2.09/2.66 (step @p331 :rule nary_cong :premises (@p330 @p329 @p325 @p324 @p315) :args (@t253)) % 2.09/2.66 (step @p332 :rule trans :premises (@p331 @p314)) % 2.09/2.66 (step @p333 :rule refl :args (@t254)) % 2.09/2.66 (step @p334 :rule cong :premises (@p333 @p332) :args ((=> @t254 @t253))) % 2.09/2.66 (assume-push @p346 @t254) % 2.09/2.66 (step @p336 :rule instantiate :premises (@p135) :args ((@list 35 1 2024 31 @t187))) % 2.09/2.66 (step-pop @p347 :rule scope :premises (@p336)) % 2.09/2.66 (step @p337 :rule process_scope :premises (@p347) :args (@t253)) % 2.09/2.66 (step @p339 :rule eq_resolve :premises (@p337 @p334)) % 2.09/2.66 (step @p340 :rule implies_elim :premises (@p339)) % 2.09/2.66 (step @p341 false :rule chain_m_resolution :premises (@p340 @p313 @p135) :args (false (@list true false) (@list @t243 @t254))) % 2.09/2.66 ) % 2.09/2.66 % SZS output end Proof % 2.09/2.66 % cvc5 exiting %------------------------------------------------------------------------------