%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : TIM010_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 : n003.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 4.24s 4.40s % Output : Proof 4.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : TIM010_1 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n003.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Wed Jun 3 01:13:14 EDT 2026 % 0.18/0.35 % CPUTime : % 0.34/0.52 %----Proving TF0_ARI % 4.24/4.40 --- Run --finite-model-find --decision=internal at 45... % 4.24/4.40 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 4.24/4.40 % SZS status Theorem % 4.24/4.40 % SZS output start Proof % 4.24/4.40 ( % 4.24/4.40 (declare-sort tptp.time 0) % 4.24/4.40 (declare-sort tptp.date 0) % 4.24/4.40 (declare-sort tptp.day_name 0) % 4.24/4.40 (declare-const tptp.is_leap_year (-> Int Bool)) % 4.24/4.40 (declare-const tptp.zeller_prep (-> Int Int Int Int Int Int Bool)) % 4.24/4.40 (declare-const tptp.nth_weekday_date (-> Int tptp.day_name Int Int tptp.date Bool)) % 4.24/4.40 (declare-const tptp.calc_nth_offset (-> Int Int Int Bool)) % 4.24/4.40 (declare-const tptp.sunday tptp.day_name) % 4.24/4.40 (declare-const tptp.is_days_in_year (-> Int Int Bool)) % 4.24/4.40 (declare-const tptp.is_days_in_month (-> Int Int Int Bool)) % 4.24/4.40 (declare-const tptp.map_name_to_int (-> tptp.day_name Int Bool)) % 4.24/4.40 (declare-const tptp.thursday tptp.day_name) % 4.24/4.40 (declare-const tptp.valid_day (-> Int Bool)) % 4.24/4.40 (declare-const tptp.monday tptp.day_name) % 4.24/4.40 (declare-const tptp.calc_date (-> Int Int Int tptp.date Bool)) % 4.24/4.40 (declare-const tptp.map_iso (-> Int tptp.day_name Bool)) % 4.24/4.40 (declare-const tptp.ymd (-> Int Int Int tptp.date)) % 4.24/4.40 (declare-const tptp.weekday (-> tptp.date tptp.day_name Bool)) % 4.24/4.40 (declare-const tptp.friday tptp.day_name) % 4.24/4.40 (declare-const tptp.normalize_time (-> Int Int Int Int Int Int Int Bool)) % 4.24/4.40 (declare-const tptp.wednesday tptp.day_name) % 4.24/4.40 (declare-const tptp.calc_datetime (-> Int Int Int Int Int Int Int Int tptp.time Bool)) % 4.24/4.40 (declare-const tptp.saturday tptp.day_name) % 4.24/4.40 (declare-const tptp.tuesday tptp.day_name) % 4.24/4.40 (declare-const tptp.dt (-> Int Int Int Int Int tptp.time)) % 4.24/4.40 (define @t1 () (@var "D" Int)) % 4.24/4.40 (define @t2 () (> @t1 0)) % 4.24/4.40 (define @t3 () (and @t2 (<= @t1 31))) % 4.24/4.40 (define @t4 () (tptp.valid_day @t1)) % 4.24/4.40 (define @t5 () (= @t4 @t3)) % 4.24/4.40 (define @t6 () (@list @t1)) % 4.24/4.40 (define @t7 () (forall @t6 @t5)) % 4.24/4.40 (define @t8 () (tptp.ymd 2025 1 1)) % 4.24/4.40 (define @t9 () (@var "DD" Int)) % 4.24/4.40 (define @t10 () (@var "EM" Int)) % 4.24/4.40 (define @t11 () (@var "EH" Int)) % 4.24/4.40 (define @t12 () (@var "AM" Int)) % 4.24/4.40 (define @t13 () (@var "AH" Int)) % 4.24/4.40 (define @t14 () (@var "SM" Int)) % 4.24/4.40 (define @t15 () (@var "SH" Int)) % 4.24/4.40 (define @t16 () (to_real 24)) % 4.24/4.40 (define @t17 () (@var "TotalH" Int)) % 4.24/4.40 (define @t18 () (to_real @t17)) % 4.24/4.40 (define @t19 () (/ @t18 @t16)) % 4.24/4.40 (define @t20 () (ite (>= @t16 0/1) (to_int @t19) (- (to_int (- @t19))))) % 4.24/4.40 (define @t21 () (@var "NormM" Int)) % 4.24/4.40 (define @t22 () (@var "CarryH" Int)) % 4.24/4.40 (define @t23 () (to_real 60)) % 4.24/4.40 (define @t24 () (@var "TotalM" Int)) % 4.24/4.40 (define @t25 () (to_real @t24)) % 4.24/4.40 (define @t26 () (/ @t25 @t23)) % 4.24/4.40 (define @t27 () (ite (>= @t23 0/1) (to_int @t26) (- (to_int (- @t26))))) % 4.24/4.40 (define @t28 () (@var "ResMin" Int)) % 4.24/4.40 (define @t29 () (@var "ResH" Int)) % 4.24/4.40 (define @t30 () (@var "ResD" Int)) % 4.24/4.40 (define @t31 () (@var "ResM" Int)) % 4.24/4.40 (define @t32 () (@var "ResY" Int)) % 4.24/4.40 (define @t33 () (@var "AD" Int)) % 4.24/4.40 (define @t34 () (@var "Min" Int)) % 4.24/4.40 (define @t35 () (@var "H" Int)) % 4.24/4.40 (define @t36 () (@var "M" Int)) % 4.24/4.40 (define @t37 () (@var "Y" Int)) % 4.24/4.40 (define @t38 () (@var "TimeDayDelta" Int)) % 4.24/4.40 (define @t39 () (@var "Res" tptp.date)) % 4.24/4.40 (define @t40 () (tptp.calc_date @t1 @t36 @t37 @t39)) % 4.24/4.40 (define @t41 () (+ @t37 400)) % 4.24/4.40 (define @t42 () (> @t1 200)) % 4.24/4.40 (define @t43 () (= @t36 1)) % 4.24/4.40 (define @t44 () (@list @t1 @t36 @t37 @t39)) % 4.24/4.40 (define @t45 () (+ @t1 36524)) % 4.24/4.40 (define @t46 () (- @t37 10)) % 4.24/4.40 (define @t47 () (tptp.calc_date (+ @t1 3652) 1 @t46 @t39)) % 4.24/4.40 (define @t48 () (to_real 4)) % 4.24/4.40 (define @t49 () (to_real @t46)) % 4.24/4.40 (define @t50 () (/ @t49 @t48)) % 4.24/4.40 (define @t51 () (>= @t48 0/1)) % 4.24/4.40 (define @t52 () (to_int (- @t49 (* (to_real (ite @t51 (to_int @t50) (- (to_int (- @t50))))) @t48)))) % 4.24/4.40 (define @t53 () (- 3652)) % 4.24/4.40 (define @t54 () (<= @t1 @t53)) % 4.24/4.40 (define @t55 () (=> (tptp.calc_date (- @t1 1461) 1 (+ @t37 4) @t39) @t40)) % 4.24/4.40 (define @t56 () (> @t1 1461)) % 4.24/4.40 (define @t57 () (@var "NextW_Name" tptp.day_name)) % 4.24/4.40 (define @t58 () (+ @t36 1)) % 4.24/4.40 (define @t59 () (@var "NextW_Int" Int)) % 4.24/4.40 (define @t60 () (to_real 7)) % 4.24/4.40 (define @t61 () (@var "DaysInM" Int)) % 4.24/4.40 (define @t62 () (@var "W_Int" Int)) % 4.24/4.40 (define @t63 () (to_real (+ @t62 @t61))) % 4.24/4.40 (define @t64 () (/ @t63 @t60)) % 4.24/4.40 (define @t65 () (>= @t60 0/1)) % 4.24/4.40 (define @t66 () (@var "W_Name" tptp.day_name)) % 4.24/4.40 (define @t67 () (tptp.ymd @t37 @t36 1)) % 4.24/4.40 (define @t68 () (- @t1 36524)) % 4.24/4.40 (define @t69 () (> @t1 36524)) % 4.24/4.40 (define @t70 () (to_real @t37)) % 4.24/4.40 (define @t71 () (/ @t70 @t48)) % 4.24/4.40 (define @t72 () (to_int (- @t70 (* (to_real (ite @t51 (to_int @t71) (- (to_int (- @t71))))) @t48)))) % 4.24/4.40 (define @t73 () (= @t72 0)) % 4.24/4.40 (define @t74 () (@var "Limit" Int)) % 4.24/4.40 (define @t75 () (- @t1 @t74)) % 4.24/4.40 (define @t76 () (=> (tptp.calc_date @t75 1 (+ @t37 1) @t39) @t40)) % 4.24/4.40 (define @t77 () (> @t1 @t74)) % 4.24/4.40 (define @t78 () (@list @t1 @t36 @t37 @t74 @t39)) % 4.24/4.40 (define @t79 () (@list @t37)) % 4.24/4.40 (define @t80 () (to_real 400)) % 4.24/4.40 (define @t81 () (/ @t70 @t80)) % 4.24/4.40 (define @t82 () (= (to_int (- @t70 (* (to_real (ite (>= @t80 0/1) (to_int @t81) (- (to_int (- @t81))))) @t80))) 0)) % 4.24/4.40 (define @t83 () (to_real 100)) % 4.24/4.40 (define @t84 () (/ @t70 @t83)) % 4.24/4.40 (define @t85 () (>= @t83 0/1)) % 4.24/4.40 (define @t86 () (ite @t85 (to_int @t84) (- (to_int (- @t84))))) % 4.24/4.40 (define @t87 () (to_int (- @t70 (* (to_real @t86) @t83)))) % 4.24/4.40 (define @t88 () (= @t87 0)) % 4.24/4.40 (define @t89 () (tptp.ymd @t37 @t36 @t1)) % 4.24/4.40 (define @t90 () (tptp.calc_date @t1 @t36 @t37 @t89)) % 4.24/4.40 (define @t91 () (<= @t1 @t74)) % 4.24/4.40 (define @t92 () (tptp.is_days_in_month @t36 @t37 @t74)) % 4.24/4.40 (define @t93 () (and @t92 @t2 @t91)) % 4.24/4.40 (define @t94 () (=> @t93 @t90)) % 4.24/4.40 (define @t95 () (@list @t1 @t36 @t37 @t74)) % 4.24/4.40 (define @t96 () (forall @t95 @t94)) % 4.24/4.40 (define @t97 () (tptp.calc_date @t75 @t58 @t37 @t39)) % 4.24/4.40 (define @t98 () (=> @t97 @t40)) % 4.24/4.40 (define @t99 () (= @t36 12)) % 4.24/4.40 (define @t100 () (not @t99)) % 4.24/4.40 (define @t101 () (and @t92 @t77 @t100)) % 4.24/4.40 (define @t102 () (=> @t101 @t98)) % 4.24/4.40 (define @t103 () (forall @t78 @t102)) % 4.24/4.40 (define @t104 () (- @t36 1)) % 4.24/4.40 (define @t105 () (+ @t1 @t74)) % 4.24/4.40 (define @t106 () (not @t43)) % 4.24/4.40 (define @t107 () (<= @t1 0)) % 4.24/4.40 (define @t108 () (- @t37 1)) % 4.24/4.40 (define @t109 () (@var "S" Int)) % 4.24/4.40 (define @t110 () (@var "T" Int)) % 4.24/4.40 (define @t111 () (to_real (+ (- @t110 @t109) 7))) % 4.24/4.40 (define @t112 () (/ @t111 @t60)) % 4.24/4.40 (define @t113 () (@var "O" Int)) % 4.24/4.40 (define @t114 () (@var "FinalDay" Int)) % 4.24/4.40 (define @t115 () (@var "DName" tptp.day_name)) % 4.24/4.40 (define @t116 () (@var "N" Int)) % 4.24/4.40 (define @t117 () (@var "Offset" Int)) % 4.24/4.40 (define @t118 () (@var "TargetDayInt" Int)) % 4.24/4.40 (define @t119 () (@var "StartDayInt" Int)) % 4.24/4.40 (define @t120 () (@var "StartDayName" tptp.day_name)) % 4.24/4.40 (define @t121 () (@var "N2" tptp.day_name)) % 4.24/4.40 (define @t122 () (@var "N1" tptp.day_name)) % 4.24/4.40 (define @t123 () (@var "Dt" tptp.date)) % 4.24/4.40 (define @t124 () (@var "I2" Int)) % 4.24/4.40 (define @t125 () (@var "I1" Int)) % 4.24/4.40 (define @t126 () (@var "Nm" tptp.day_name)) % 4.24/4.40 (define @t127 () (to_real @t108)) % 4.24/4.40 (define @t128 () (/ @t127 @t83)) % 4.24/4.40 (define @t129 () (ite @t85 (to_int @t128) (- (to_int (- @t128))))) % 4.24/4.40 (define @t130 () (= @t36 2)) % 4.24/4.40 (define @t131 () (@list @t36 @t37)) % 4.24/4.40 (define @t132 () (@var "Name" tptp.day_name)) % 4.24/4.40 (define @t133 () (@var "Term2" Int)) % 4.24/4.40 (define @t134 () (to_real @t133)) % 4.24/4.40 (define @t135 () (/ @t134 @t60)) % 4.24/4.40 (define @t136 () (to_real (+ (to_int (- @t134 (* (to_real (ite @t65 (to_int @t135) (- (to_int (- @t135))))) @t60))) 7))) % 4.24/4.40 (define @t137 () (/ @t136 @t60)) % 4.24/4.40 (define @t138 () (@var "J" Int)) % 4.24/4.40 (define @t139 () (/ (to_real @t138) @t48)) % 4.24/4.40 (define @t140 () (@var "K" Int)) % 4.24/4.40 (define @t141 () (/ (to_real @t140) @t48)) % 4.24/4.40 (define @t142 () (@var "Term1" Int)) % 4.24/4.40 (define @t143 () (to_real 5)) % 4.24/4.40 (define @t144 () (@var "ZM" Int)) % 4.24/4.40 (define @t145 () (/ (to_real (* 13 (+ @t144 1))) @t143)) % 4.24/4.40 (define @t146 () (@var "ZY" Int)) % 4.24/4.40 (define @t147 () (tptp.is_days_in_month 2 2024 29)) % 4.24/4.40 (define @t148 () (tptp.calc_date @t1 1 @t37 @t39)) % 4.24/4.40 (define @t149 () (tptp.is_leap_year @t108)) % 4.24/4.40 (define @t150 () (@list @t1 @t37 @t39)) % 4.24/4.40 (define @t151 () (@var "W" tptp.day_name)) % 4.24/4.40 (define @t152 () (@var "Res2" tptp.date)) % 4.24/4.40 (define @t153 () (@var "Res1" tptp.date)) % 4.24/4.40 (define @t154 () (@var "D4" Int)) % 4.24/4.40 (define @t155 () (tptp.ymd @t37 @t36 @t154)) % 4.24/4.40 (define @t156 () (@var "D5" Int)) % 4.24/4.40 (define @t157 () (= @t1 14)) % 4.24/4.40 (define @t158 () (= @t36 5)) % 4.24/4.40 (define @t159 () (+ 15 120)) % 4.24/4.40 (define @t160 () (tptp.calc_date @t159 1 2024 @t89)) % 4.24/4.40 (define @t161 () (and @t160 @t158 @t157 @t4)) % 4.24/4.40 (define @t162 () (@list @t37 @t36 @t1)) % 4.24/4.40 (define @t163 () (exists @t162 @t161)) % 4.24/4.40 (define @t164 () (not @t163)) % 4.24/4.40 (define @t165 () (+ 1 @t36)) % 4.24/4.40 (define @t166 () (+ @t1 (* -1 @t74))) % 4.24/4.40 (define @t167 () (tptp.calc_date @t166 @t165 @t37 @t39)) % 4.24/4.40 (define @t168 () (not @t167)) % 4.24/4.40 (define @t169 () (>= @t166 1)) % 4.24/4.40 (define @t170 () (not @t169)) % 4.24/4.40 (define @t171 () (not @t92)) % 4.24/4.40 (define @t172 () (or @t171 @t170 @t99 @t168 @t40)) % 4.24/4.40 (define @t173 () (not @t100)) % 4.24/4.40 (define @t174 () (or @t171 @t170 @t173)) % 4.24/4.40 (define @t175 () (=> @t167 @t40)) % 4.24/4.40 (define @t176 () (and @t92 @t169 @t100)) % 4.24/4.40 (define @t177 () (+ @t74 1)) % 4.24/4.40 (define @t178 () (>= @t1 @t177)) % 4.24/4.40 (define @t179 () (tptp.ymd 2024 5 14)) % 4.24/4.40 (define @t180 () (tptp.calc_date 75 3 2024 @t179)) % 4.24/4.40 (define @t181 () (tptp.calc_date 44 4 2024 @t179)) % 4.24/4.40 (define @t182 () (not @t181)) % 4.24/4.40 (define @t183 () (tptp.is_days_in_month 3 2024 31)) % 4.24/4.40 (define @t184 () (not @t183)) % 4.24/4.40 (define @t185 () (or @t184 @t182 @t180)) % 4.24/4.40 (define @t186 () (+ 1 3)) % 4.24/4.40 (define @t187 () (* -1 31)) % 4.24/4.40 (define @t188 () (+ 75 @t187)) % 4.24/4.40 (define @t189 () (tptp.calc_date @t188 @t186 2024 @t179)) % 4.24/4.40 (define @t190 () (not @t189)) % 4.24/4.40 (define @t191 () (= 3 12)) % 4.24/4.40 (define @t192 () (>= @t188 1)) % 4.24/4.40 (define @t193 () (not @t192)) % 4.24/4.40 (define @t194 () (or @t184 @t193 @t191 @t190 @t180)) % 4.24/4.40 (define @t195 () (forall @t78 @t172)) % 4.24/4.40 (define @t196 () (@list false)) % 4.24/4.40 (define @t197 () (@list @t195)) % 4.24/4.40 (define @t198 () (tptp.calc_date 104 2 2024 @t179)) % 4.24/4.40 (define @t199 () (not @t180)) % 4.24/4.40 (define @t200 () (not @t147)) % 4.24/4.40 (define @t201 () (or @t200 @t199 @t198)) % 4.24/4.40 (define @t202 () (+ 1 2)) % 4.24/4.40 (define @t203 () (* -1 29)) % 4.24/4.40 (define @t204 () (+ 104 @t203)) % 4.24/4.40 (define @t205 () (tptp.calc_date @t204 @t202 2024 @t179)) % 4.24/4.40 (define @t206 () (not @t205)) % 4.24/4.40 (define @t207 () (= 2 12)) % 4.24/4.40 (define @t208 () (>= @t204 1)) % 4.24/4.40 (define @t209 () (not @t208)) % 4.24/4.40 (define @t210 () (or @t200 @t209 @t207 @t206 @t198)) % 4.24/4.40 (define @t211 () (tptp.calc_date 135 1 2024 @t179)) % 4.24/4.40 (define @t212 () (not @t198)) % 4.24/4.40 (define @t213 () (tptp.is_days_in_month 1 2024 31)) % 4.24/4.40 (define @t214 () (not @t213)) % 4.24/4.40 (define @t215 () (or @t214 @t212 @t211)) % 4.24/4.40 (define @t216 () (+ 1 1)) % 4.24/4.40 (define @t217 () (+ 135 @t187)) % 4.24/4.40 (define @t218 () (tptp.calc_date @t217 @t216 2024 @t179)) % 4.24/4.40 (define @t219 () (not @t218)) % 4.24/4.40 (define @t220 () (= 1 12)) % 4.24/4.40 (define @t221 () (>= @t217 1)) % 4.24/4.40 (define @t222 () (not @t221)) % 4.24/4.40 (define @t223 () (or @t214 @t222 @t220 @t219 @t211)) % 4.24/4.40 (define @t224 () (+ 31 1)) % 4.24/4.40 (define @t225 () (>= @t1 @t224)) % 4.24/4.40 (define @t226 () (>= @t1 1)) % 4.24/4.40 (define @t227 () (+ 0 1)) % 4.24/4.40 (define @t228 () (>= @t1 @t227)) % 4.24/4.40 (define @t229 () (tptp.valid_day 14)) % 4.24/4.40 (define @t230 () (>= 14 32)) % 4.24/4.40 (define @t231 () (not @t230)) % 4.24/4.40 (define @t232 () (>= 14 1)) % 4.24/4.40 (define @t233 () (and @t232 @t231)) % 4.24/4.40 (define @t234 () (= @t229 @t233)) % 4.24/4.40 (define @t235 () (forall @t6 (= @t4 (and @t226 (not (>= @t1 32)))))) % 4.24/4.40 (define @t236 () (not (tptp.calc_date 135 1 2024 (tptp.ymd @t37 5 14)))) % 4.24/4.40 (define @t237 () (forall @t79 @t236)) % 4.24/4.40 (define @t238 () (not @t229)) % 4.24/4.40 (define @t239 () (or @t238 @t237)) % 4.24/4.40 (define @t240 () (or @t238 @t236)) % 4.24/4.40 (define @t241 () (or @t236 @t238)) % 4.24/4.40 (define @t242 () (= 14 14)) % 4.24/4.40 (define @t243 () (not @t242)) % 4.24/4.40 (define @t244 () (or @t236 @t243 @t238)) % 4.24/4.40 (define @t245 () (not @t4)) % 4.24/4.40 (define @t246 () (not @t157)) % 4.24/4.40 (define @t247 () (not (tptp.calc_date 135 1 2024 (tptp.ymd @t37 5 @t1)))) % 4.24/4.40 (define @t248 () (or @t246 @t247 @t246 @t245)) % 4.24/4.40 (define @t249 () (or @t247 @t246 @t245)) % 4.24/4.40 (define @t250 () (forall @t6 @t249)) % 4.24/4.40 (define @t251 () (forall @t79 @t250)) % 4.24/4.40 (define @t252 () (@list @t37 @t1)) % 4.24/4.40 (define @t253 () (= 5 5)) % 4.24/4.40 (define @t254 () (not @t253)) % 4.24/4.40 (define @t255 () (or @t247 @t254 @t246 @t245)) % 4.24/4.40 (define @t256 () (not @t158)) % 4.24/4.40 (define @t257 () (tptp.calc_date 135 1 2024 @t89)) % 4.24/4.40 (define @t258 () (not @t257)) % 4.24/4.40 (define @t259 () (or @t256 @t258 @t256 @t246 @t245)) % 4.24/4.40 (define @t260 () (@list @t36)) % 4.24/4.40 (define @t261 () (or @t258 @t256 @t246 @t245)) % 4.24/4.40 (define @t262 () (forall @t260 @t261)) % 4.24/4.40 (define @t263 () (forall @t252 @t262)) % 4.24/4.40 (define @t264 () (forall (@list @t37 @t1 @t36) @t261)) % 4.24/4.40 (define @t265 () (and @t257 @t158 @t157 @t4)) % 4.24/4.40 (define @t266 () (forall @t162 (not @t265))) % 4.24/4.40 (define @t267 () (not @t266)) % 4.24/4.40 (define @t268 () (@list 2024)) % 4.24/4.40 (define @t269 () (@list false true false)) % 4.24/4.40 (define @t270 () (not @t226)) % 4.24/4.40 (define @t271 () (or @t171 @t270 @t169 @t90)) % 4.24/4.40 (define @t272 () (not @t170)) % 4.24/4.40 (define @t273 () (or @t171 @t270 @t272)) % 4.24/4.40 (define @t274 () (and @t92 @t226 @t170)) % 4.24/4.40 (define @t275 () (tptp.calc_date 14 5 2024 @t179)) % 4.24/4.40 (define @t276 () (tptp.is_days_in_month 5 2024 31)) % 4.24/4.40 (define @t277 () (not @t276)) % 4.24/4.40 (define @t278 () (or @t277 @t275)) % 4.24/4.40 (define @t279 () (+ 14 @t187)) % 4.24/4.40 (define @t280 () (>= @t279 1)) % 4.24/4.40 (define @t281 () (not @t232)) % 4.24/4.40 (define @t282 () (or @t277 @t281 @t280 @t275)) % 4.24/4.40 (define @t283 () (forall @t95 @t271)) % 4.24/4.40 (define @t284 () (not @t275)) % 4.24/4.40 (define @t285 () (tptp.is_days_in_month 4 2024 30)) % 4.24/4.40 (define @t286 () (not @t285)) % 4.24/4.40 (define @t287 () (or @t286 @t284 @t181)) % 4.24/4.40 (define @t288 () (not @t287)) % 4.24/4.40 (define @t289 () (+ 1 4)) % 4.24/4.40 (define @t290 () (* -1 30)) % 4.24/4.40 (define @t291 () (+ 44 @t290)) % 4.24/4.40 (define @t292 () (tptp.calc_date @t291 @t289 2024 @t179)) % 4.24/4.40 (define @t293 () (not @t292)) % 4.24/4.40 (define @t294 () (= 4 12)) % 4.24/4.40 (define @t295 () (>= @t291 1)) % 4.24/4.40 (define @t296 () (not @t295)) % 4.24/4.40 (define @t297 () (or @t286 @t296 @t294 @t293 @t181)) % 4.24/4.40 (assume @p1 @t7) % 4.24/4.40 (assume @p2 (tptp.weekday (tptp.ymd 2024 1 1) tptp.monday)) % 4.24/4.40 (assume @p3 (tptp.weekday (tptp.ymd 2024 2 1) tptp.thursday)) % 4.24/4.40 (assume @p4 (tptp.weekday (tptp.ymd 2024 3 1) tptp.friday)) % 4.24/4.40 (assume @p5 (tptp.weekday (tptp.ymd 2024 4 1) tptp.monday)) % 4.24/4.40 (assume @p6 (tptp.weekday (tptp.ymd 2024 5 1) tptp.wednesday)) % 4.24/4.40 (assume @p7 (tptp.weekday @t8 tptp.wednesday)) % 4.24/4.40 (assume @p8 (tptp.weekday (tptp.ymd 2025 2 1) tptp.saturday)) % 4.24/4.40 (assume @p9 (tptp.weekday (tptp.ymd 2025 3 1) tptp.saturday)) % 4.24/4.40 (assume @p10 (tptp.weekday (tptp.ymd 2025 11 1) tptp.saturday)) % 4.24/4.40 (assume @p11 (tptp.weekday (tptp.ymd 1776 1 1) tptp.monday)) % 4.24/4.40 (assume @p12 (tptp.weekday (tptp.ymd 1969 1 1) tptp.wednesday)) % 4.24/4.40 (assume @p13 (tptp.weekday (tptp.ymd 1985 1 1) tptp.tuesday)) % 4.24/4.40 (assume @p14 (tptp.weekday (tptp.ymd 1600 1 1) tptp.saturday)) % 4.24/4.40 (assume @p15 (tptp.calc_date 0 3 2024 (tptp.ymd 2024 2 29))) % 4.24/4.40 (assume @p16 (tptp.calc_date 0 3 2025 (tptp.ymd 2025 2 28))) % 4.24/4.40 (assume @p17 (tptp.calc_date 0 1 2025 (tptp.ymd 2024 12 31))) % 4.24/4.40 (assume @p18 (tptp.calc_date 0 1 2024 (tptp.ymd 2023 12 31))) % 4.24/4.40 (assume @p19 (tptp.calc_date 32 12 2024 @t8)) % 4.24/4.40 (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)))) % 4.24/4.40 (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))))) % 4.24/4.40 (assume @p22 (forall @t44 (=> (and @t43 (> @t1 146097) @t42) (=> (tptp.calc_date (- @t1 146097) 1 @t41 @t39) @t40)))) % 4.24/4.40 (assume @p23 (forall @t44 (=> (and @t43 (<= @t1 (- 146097))) (=> (tptp.calc_date (+ @t1 146097) 1 (- @t37 400) @t39) @t40)))) % 4.24/4.40 (assume @p24 (forall @t44 (=> (and @t43 (<= @t1 (- 36524))) (=> (tptp.calc_date @t45 1 (- @t37 100) @t39) @t40)))) % 4.24/4.40 (assume @p25 (forall @t44 (=> (and @t43 @t54 (or (= @t52 1) (= @t52 2))) (=> @t47 @t40)))) % 4.24/4.40 (assume @p26 (forall @t44 (=> (and @t43 (<= @t1 (- 3653)) (or (= @t52 0) (= @t52 3))) (=> (tptp.calc_date (+ @t1 3653) 1 @t46 @t39) @t40)))) % 4.24/4.40 (assume @p27 (forall @t44 (=> (and @t43 @t56 @t42 (> @t37 2000) (< @t37 2095)) @t55))) % 4.24/4.40 (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)))) % 4.24/4.40 (assume @p29 (forall @t44 (=> (and @t43 @t69 @t42) (=> (tptp.calc_date @t68 1 (+ @t37 100) @t39) @t40)))) % 4.24/4.40 (assume @p30 (forall @t6 (=> (> @t1 100000) @t69))) % 4.24/4.40 (assume @p31 (forall @t6 (=> (> @t1 400000) (> (- @t1 365240) 3652)))) % 4.24/4.40 (assume @p32 (forall @t6 (=> (> @t1 40000) (> @t68 1461)))) % 4.24/4.40 (assume @p33 (forall @t6 (=> (< @t1 (- 41000)) (< @t45 @t53)))) % 4.24/4.40 (assume @p34 (forall @t44 (=> (and @t43 (> @t1 3653) @t42 (or @t73 (= @t72 3))) (=> (tptp.calc_date (- @t1 3653) 1 (+ @t37 10) @t39) @t40)))) % 4.24/4.40 (assume @p35 (forall @t44 (=> (and @t43 @t56 @t42 @t73) @t55))) % 4.24/4.40 (assume @p36 (forall @t78 (=> (and @t43 (tptp.is_days_in_year @t37 @t74) @t77 @t42) @t76))) % 4.24/4.40 (assume @p37 (forall @t79 (tptp.is_days_in_month 1 @t37 31))) % 4.24/4.40 (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))))) % 4.24/4.40 (assume @p39 (forall @t79 (tptp.is_days_in_month 3 @t37 31))) % 4.24/4.40 (assume @p40 (forall @t79 (tptp.is_days_in_month 4 @t37 30))) % 4.24/4.40 (assume @p41 (forall @t79 (tptp.is_days_in_month 5 @t37 31))) % 4.24/4.40 (assume @p42 (forall @t79 (tptp.is_days_in_month 6 @t37 30))) % 4.24/4.40 (assume @p43 (forall @t79 (tptp.is_days_in_month 7 @t37 31))) % 4.24/4.40 (assume @p44 (forall @t79 (tptp.is_days_in_month 8 @t37 31))) % 4.24/4.40 (assume @p45 (forall @t79 (tptp.is_days_in_month 9 @t37 30))) % 4.24/4.40 (assume @p46 (forall @t79 (tptp.is_days_in_month 10 @t37 31))) % 4.24/4.40 (assume @p47 (forall @t79 (tptp.is_days_in_month 11 @t37 30))) % 4.24/4.40 (assume @p48 (forall @t79 (tptp.is_days_in_month 12 @t37 31))) % 4.24/4.40 (assume @p49 @t96) % 4.24/4.40 (assume @p50 @t103) % 4.24/4.40 (assume @p51 (forall @t78 (=> (and @t92 @t77 @t99) @t76))) % 4.24/4.40 (assume @p52 (forall @t78 (=> (and @t107 @t106) (=> (and (tptp.is_days_in_month @t104 @t37 @t74) (tptp.calc_date @t105 @t104 @t37 @t39)) @t40)))) % 4.24/4.40 (assume @p53 (forall @t78 (=> (and @t107 @t43) (=> (and (tptp.is_days_in_month 12 @t108 @t74) (tptp.calc_date @t105 12 @t108 @t39)) @t40)))) % 4.24/4.40 (assume @p54 (tptp.map_name_to_int tptp.saturday 0)) % 4.24/4.40 (assume @p55 (tptp.map_name_to_int tptp.sunday 1)) % 4.24/4.40 (assume @p56 (tptp.map_name_to_int tptp.monday 2)) % 4.24/4.40 (assume @p57 (tptp.map_name_to_int tptp.tuesday 3)) % 4.24/4.40 (assume @p58 (tptp.map_name_to_int tptp.wednesday 4)) % 4.24/4.40 (assume @p59 (tptp.map_name_to_int tptp.thursday 5)) % 4.24/4.40 (assume @p60 (tptp.map_name_to_int tptp.friday 6)) % 4.24/4.40 (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)))))))) % 4.24/4.40 (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))))) % 4.24/4.40 (assume @p63 (forall (@list @t123 @t122 @t121) (=> (and (tptp.weekday @t123 @t122) (tptp.weekday @t123 @t121)) (= @t122 @t121)))) % 4.24/4.40 (assume @p64 (forall (@list @t126 @t125 @t124) (=> (and (tptp.map_name_to_int @t126 @t125) (tptp.map_name_to_int @t126 @t124)) (= @t125 @t124)))) % 4.24/4.40 (assume @p65 (forall @t131 (=> (or @t43 @t130) (tptp.zeller_prep @t36 @t37 (+ @t36 12) @t108 (to_int (- @t127 (* (to_real @t129) @t83))) @t129)))) % 4.24/4.40 (assume @p66 (forall @t131 (=> (and @t106 (not @t130)) (tptp.zeller_prep @t36 @t37 @t36 @t37 @t87 @t86)))) % 4.24/4.40 (assume @p67 (forall (@list @t37 @t36 @t1 @t132 @t144 @t146 @t140 @t138 @t142 @t133 @t35) (=> (and (> @t37 1582) (not (= @t37 2024)) (not (= @t37 2025)) (not (= @t37 1776)) (not (= @t37 1969)) (not (= @t37 1985)) (tptp.zeller_prep @t36 @t37 @t144 @t146 @t140 @t138) (= @t142 (ite (>= @t143 0/1) (to_int @t145) (- (to_int (- @t145))))) (= @t133 (+ @t1 (+ @t142 (+ @t140 (+ (ite @t51 (to_int @t141) (- (to_int (- @t141)))) (+ (ite @t51 (to_int @t139) (- (to_int (- @t139)))) (* 5 @t138))))))) (= @t35 (to_int (- @t136 (* (to_real (ite @t65 (to_int @t137) (- (to_int (- @t137))))) @t60)))) (tptp.map_iso @t35 @t132)) (tptp.weekday @t89 @t132)))) % 4.24/4.40 (assume @p68 (tptp.map_iso 0 tptp.saturday)) % 4.24/4.40 (assume @p69 (tptp.map_iso 1 tptp.sunday)) % 4.24/4.40 (assume @p70 (tptp.map_iso 2 tptp.monday)) % 4.24/4.40 (assume @p71 (tptp.map_iso 3 tptp.tuesday)) % 4.24/4.40 (assume @p72 (tptp.map_iso 4 tptp.wednesday)) % 4.24/4.40 (assume @p73 (tptp.map_iso 5 tptp.thursday)) % 4.24/4.40 (assume @p74 (tptp.map_iso 6 tptp.friday)) % 4.24/4.40 (assume @p75 (tptp.is_days_in_year 2024 366)) % 4.24/4.40 (assume @p76 (tptp.is_days_in_year 2025 365)) % 4.24/4.40 (assume @p77 (tptp.is_days_in_year 2026 365)) % 4.24/4.40 (assume @p78 (tptp.is_days_in_year 2027 365)) % 4.24/4.40 (assume @p79 (tptp.is_days_in_year 2028 366)) % 4.24/4.40 (assume @p80 (tptp.calc_date 1461 1 2025 (tptp.ymd 2028 12 31))) % 4.24/4.40 (assume @p81 (tptp.is_days_in_month 2 1776 29)) % 4.24/4.40 (assume @p82 @t147) % 4.24/4.40 (assume @p83 (forall @t150 (=> (and (<= @t1 (- 365)) (not @t149)) (=> (tptp.calc_date (+ @t1 365) 1 @t108 @t39) @t148)))) % 4.24/4.40 (assume @p84 (forall @t150 (=> (and (<= @t1 (- 366)) @t149) (=> (tptp.calc_date (+ @t1 366) 1 @t108 @t39) @t148)))) % 4.24/4.40 (assume @p85 (forall @t150 (=> @t54 (=> @t47 @t148)))) % 4.24/4.40 (assume @p86 (forall (@list @t37 @t36 @t1 @t151 @t153 @t152) (=> (and (tptp.calc_date @t1 @t36 @t37 @t153) (tptp.calc_date @t1 @t36 @t41 @t152)) (= (tptp.weekday @t153 @t151) (tptp.weekday @t152 @t151))))) % 4.24/4.40 (assume @p87 (forall (@list @t115 @t36 @t37 @t154 @t156) (=> (and (tptp.nth_weekday_date 4 @t115 @t36 @t37 @t155) (tptp.nth_weekday_date 5 @t115 @t36 @t37 (tptp.ymd @t37 @t36 @t156)) (tptp.is_days_in_month @t36 @t37 @t154) (not (tptp.is_days_in_month @t36 @t37 @t156))) (tptp.nth_weekday_date 5 @t115 @t36 @t37 @t155)))) % 4.24/4.40 (assume @p88 @t164) % 4.24/4.40 (assume @p89 true) % 4.24/4.40 (step @p90 :rule aci_norm :args ((= (or (or @t171 @t170 @t99) (or @t168 @t40)) @t172))) % 4.24/4.40 (step @p91 :rule bool-impl-elim :args (@t167 @t40)) % 4.24/4.40 (step @p92 :rule bool-double-not-elim :args (@t99)) % 4.24/4.40 (step @p93 :rule refl :args (@t170)) % 4.24/4.40 (step @p94 :rule refl :args (@t171)) % 4.24/4.40 (step @p95 :rule nary_cong :premises (@p94 @p93 @p92) :args (@t174)) % 4.24/4.40 (step @p96 :rule aci_norm :args ((= (or @t171 (or @t170 @t173)) @t174))) % 4.24/4.40 (step @p97 :rule trans :premises (@p96 @p95)) % 4.24/4.40 (step @p98 :rule bool-and-de-morgan :args (@t169 @t100 true)) % 4.24/4.40 (step @p99 :rule nary_cong :premises (@p94 @p98) :args ((or @t171 (not (and @t169 @t100))))) % 4.24/4.40 (step @p100 :rule bool-and-de-morgan :args (@t92 @t169 (and @t100))) % 4.24/4.40 (step @p101 :rule trans :premises (@p100 @p99)) % 4.24/4.40 (step @p102 :rule trans :premises (@p101 @p97)) % 4.24/4.40 (step @p103 :rule nary_cong :premises (@p102 @p91) :args ((or (not @t176) @t175))) % 4.24/4.40 (step @p104 :rule trans :premises (@p103 @p90)) % 4.24/4.40 (step @p105 :rule bool-impl-elim :args (@t176 @t175)) % 4.24/4.40 (step @p106 :rule trans :premises (@p105 @p104)) % 4.24/4.40 (step @p107 :rule cong :premises (@p106) :args ((forall @t78 (=> @t176 @t175)))) % 4.24/4.40 (step @p108 :rule refl :args (@t40)) % 4.24/4.40 (step @p109 :rule refl :args (@t39)) % 4.24/4.40 (step @p110 :rule refl :args (@t37)) % 4.24/4.40 (step @p111 :rule arith_poly_norm :args ((= @t58 @t165))) % 4.24/4.40 (step @p112 :rule arith_poly_norm :args ((= @t75 @t166))) % 4.24/4.40 (step @p113 :rule cong :premises (@p112 @p111 @p110 @p109) :args (@t97)) % 4.24/4.40 (step @p114 :rule cong :premises (@p113 @p108) :args (@t98)) % 4.24/4.40 (step @p115 :rule refl :args (@t100)) % 4.24/4.40 (step @p116 :rule bool-double-not-elim :args (@t169)) % 4.24/4.40 (step @p117 :rule arith_poly_norm :args ((= (* -1 (- @t1 @t177)) (* -1 (- @t166 1))))) % 4.24/4.40 (step @p118 :rule arith_poly_norm_rel :premises (@p117) :args ((= @t178 @t169))) % 4.24/4.40 (step @p119 :rule cong :premises (@p118) :args ((not @t178))) % 4.24/4.40 (step @p120 :rule arith-leq-norm :args (@t1 @t74)) % 4.24/4.40 (step @p121 :rule trans :premises (@p120 @p119)) % 4.24/4.40 (step @p122 :rule cong :premises (@p121) :args ((not @t91))) % 4.24/4.40 (step @p123 :rule trans :premises (@p122 @p116)) % 4.24/4.40 (step @p124 :rule arith-elim-leq :args (@t1 @t74)) % 4.24/4.40 (step @p125 :rule symm :premises (@p124)) % 4.24/4.40 (step @p126 :rule cong :premises (@p125) :args ((not (>= @t74 @t1)))) % 4.24/4.40 (step @p127 :rule arith-elim-gt :args (@t1 @t74)) % 4.24/4.40 (step @p128 :rule trans :premises (@p127 @p126)) % 4.24/4.40 (step @p129 :rule trans :premises (@p128 @p123)) % 4.24/4.40 (step @p130 :rule refl :args (@t92)) % 4.24/4.40 (step @p131 :rule nary_cong :premises (@p130 @p129 @p115) :args (@t101)) % 4.24/4.40 (step @p132 :rule cong :premises (@p131 @p114) :args (@t102)) % 4.24/4.40 (step @p133 :rule cong :premises (@p132) :args (@t103)) % 4.24/4.40 (step @p134 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instantiate :premises (@p37) :args (@t268)) % 4.24/4.40 (step @p343 :rule cnf_or_pos :args (@t215)) % 4.24/4.40 (step @p344 :rule reordering :premises (@p343) :args ((or @t214 @t211 @t212 (not @t215)))) % 4.24/4.40 (step @p345 :rule chain_m_resolution :premises (@p344 @p342 @p341 @p220) :args (@t212 @t269 (@list @t213 @t211 @t215))) % 4.24/4.40 (step @p346 :rule cnf_or_pos :args (@t201)) % 4.24/4.40 (step @p347 :rule reordering :premises (@p346) :args ((or @t200 @t198 @t199 (not @t201)))) % 4.24/4.40 (step @p348 :rule chain_m_resolution :premises (@p347 @p82 @p345 @p194) :args (@t199 @t269 (@list @t147 @t198 @t201))) % 4.24/4.40 (step @p349 :rule instantiate :premises (@p39) :args (@t268)) % 4.24/4.40 (step @p350 :rule cnf_or_pos :args (@t185)) % 4.24/4.40 (step @p351 :rule reordering :premises (@p350) :args ((or @t184 @t180 @t182 (not @t185)))) % 4.24/4.40 (step @p352 :rule chain_m_resolution :premises (@p351 @p349 @p348 @p167) :args (@t182 @t269 (@list @t183 @t180 @t185))) % 4.24/4.40 (step @p353 :rule aci_norm :args ((= (or (or @t171 @t270 @t169) @t90) @t271))) % 4.24/4.40 (step @p354 :rule refl :args (@t90)) % 4.24/4.40 (step @p355 :rule bool-double-not-elim :args (@t169)) % 4.24/4.40 (step @p356 :rule refl :args (@t270)) % 4.24/4.40 (step @p357 :rule nary_cong :premises (@p94 @p356 @p355) :args (@t273)) % 4.24/4.40 (step @p358 :rule aci_norm :args ((= (or @t171 (or @t270 @t272)) @t273))) % 4.24/4.40 (step @p359 :rule trans :premises (@p358 @p357)) % 4.24/4.40 (step @p360 :rule bool-and-de-morgan :args (@t226 @t170 true)) % 4.24/4.40 (step @p361 :rule nary_cong :premises (@p94 @p360) :args ((or @t171 (not (and @t226 @t170))))) % 4.24/4.40 (step @p362 :rule bool-and-de-morgan :args (@t92 @t226 (and @t170))) % 4.24/4.40 (step @p363 :rule trans :premises (@p362 @p361)) % 4.24/4.41 (step @p364 :rule trans :premises (@p363 @p359)) % 4.24/4.41 (step @p365 :rule nary_cong :premises (@p364 @p354) :args ((or (not @t274) @t90))) % 4.24/4.41 (step @p366 :rule trans :premises (@p365 @p353)) % 4.24/4.41 (step @p367 :rule bool-impl-elim :args (@t274 @t90)) % 4.24/4.41 (step @p368 :rule trans :premises (@p367 @p366)) % 4.24/4.41 (step @p369 :rule cong :premises (@p368) :args ((forall @t95 (=> @t274 @t90)))) % 4.24/4.41 (step @p370 :rule refl :args (@t90)) % 4.24/4.41 (step @p371 :rule nary_cong :premises (@p130 @p240 @p121) :args (@t93)) % 4.24/4.41 (step @p372 :rule cong :premises (@p371 @p370) :args (@t94)) % 4.24/4.41 (step @p373 :rule cong :premises (@p372) :args (@t96)) % 4.24/4.41 (step @p374 :rule trans :premises (@p373 @p369)) % 4.24/4.41 (step @p375 :rule eq_resolve :premises (@p49 @p374)) % 4.24/4.41 (step @p376 :rule aci_norm :args ((= (or @t277 false false @t275) @t278))) % 4.24/4.41 (step @p377 :rule refl :args (@t275)) % 4.24/4.41 (step @p378 :rule evaluate :args ((>= -17 1))) % 4.24/4.41 (step @p379 :rule evaluate :args ((+ 14 -31))) % 4.24/4.41 (step @p380 :rule refl :args (14)) % 4.24/4.41 (step @p381 :rule nary_cong :premises (@p380 @p142) :args (@t279)) % 4.24/4.41 (step @p382 :rule trans :premises (@p381 @p379)) % 4.24/4.41 (step @p383 :rule cong :premises (@p382 @p151) :args (@t280)) % 4.24/4.41 (step @p384 :rule trans :premises (@p383 @p378)) % 4.24/4.41 (step @p385 :rule cong :premises (@p252) :args (@t281)) % 4.24/4.41 (step @p386 :rule trans :premises (@p385 @p149)) % 4.24/4.41 (step @p387 :rule refl :args (@t277)) % 4.24/4.41 (step @p388 :rule nary_cong :premises (@p387 @p386 @p384 @p377) :args (@t282)) % 4.24/4.41 (step @p389 :rule trans :premises (@p388 @p376)) % 4.24/4.41 (step @p390 :rule refl :args (@t283)) % 4.24/4.41 (step @p391 :rule cong :premises (@p390 @p389) :args ((=> @t283 @t282))) % 4.24/4.41 (assume-push @p441 @t283) % 4.24/4.41 (step @p393 :rule instantiate :premises (@p375) :args ((@list 14 5 2024 31))) % 4.24/4.41 (step-pop @p442 :rule scope :premises (@p393)) % 4.24/4.41 (step @p394 :rule process_scope :premises (@p442) :args (@t282)) % 4.24/4.41 (step @p396 :rule eq_resolve :premises (@p394 @p391)) % 4.24/4.41 (step @p397 :rule implies_elim :premises (@p396)) % 4.24/4.41 (step @p398 :rule chain_m_resolution :premises (@p397 @p375) :args (@t278 @t196 (@list @t283))) % 4.24/4.41 (step @p399 :rule instantiate :premises (@p41) :args (@t268)) % 4.24/4.41 (step @p400 :rule cnf_or_pos :args (@t278)) % 4.24/4.41 (step @p401 :rule reordering :premises (@p400) :args ((or @t277 @t275 (not @t278)))) % 4.24/4.41 (step @p402 :rule chain_m_resolution :premises (@p401 @p399 @p398) :args (@t275 (@list false false) (@list @t276 @t278))) % 4.24/4.41 (step @p403 :rule instantiate :premises (@p40) :args (@t268)) % 4.24/4.41 (step @p404 :rule cnf_or_pos :args (@t287)) % 4.24/4.41 (step @p405 :rule reordering :premises (@p404) :args ((or @t286 @t284 @t181 @t288))) % 4.24/4.41 (step @p406 :rule chain_m_resolution :premises (@p405 @p403 @p402 @p352) :args (@t288 (@list false false true) (@list @t285 @t275 @t181))) % 4.24/4.41 (step @p407 :rule aci_norm :args ((= (or @t286 false false @t284 @t181) @t287))) % 4.24/4.41 (step @p408 :rule refl :args (@t181)) % 4.24/4.41 (step @p409 :rule evaluate :args (@t289)) % 4.24/4.41 (step @p410 :rule evaluate :args ((+ 44 -30))) % 4.24/4.41 (step @p411 :rule evaluate :args (@t290)) % 4.24/4.41 (step @p412 :rule refl :args (44)) % 4.24/4.41 (step @p413 :rule nary_cong :premises (@p412 @p411) :args (@t291)) % 4.24/4.41 (step @p414 :rule trans :premises (@p413 @p410)) % 4.24/4.41 (step @p415 :rule cong :premises (@p414 @p409 @p139 @p138) :args (@t292)) % 4.24/4.41 (step @p416 :rule cong :premises (@p415) :args (@t293)) % 4.24/4.41 (step @p417 :rule evaluate :args (@t294)) % 4.24/4.41 (step @p418 :rule cong :premises (@p414 @p151) :args (@t295)) % 4.24/4.41 (step @p419 :rule trans :premises (@p418 @p252)) % 4.24/4.41 (step @p420 :rule cong :premises (@p419) :args (@t296)) % 4.24/4.41 (step @p421 :rule trans :premises (@p420 @p149)) % 4.24/4.41 (step @p422 :rule refl :args (@t286)) % 4.24/4.41 (step @p423 :rule nary_cong :premises (@p422 @p421 @p417 @p416 @p408) :args (@t297)) % 4.24/4.41 (step @p424 :rule trans :premises (@p423 @p407)) % 4.24/4.41 (step @p425 :rule cong :premises (@p159 @p424) :args ((=> @t195 @t297))) % 4.24/4.41 (assume-push @p443 @t195) % 4.24/4.41 (step @p427 :rule instantiate :premises (@p135) :args ((@list 44 4 2024 30 @t179))) % 4.24/4.41 (step-pop @p444 :rule scope :premises (@p427)) % 4.24/4.41 (step @p428 :rule process_scope :premises (@p444) :args (@t297)) % 4.24/4.41 (step @p430 :rule eq_resolve :premises (@p428 @p425)) % 4.24/4.41 (step @p431 :rule implies_elim :premises (@p430)) % 4.24/4.41 (step @p432 false :rule chain_m_resolution :premises (@p431 @p406 @p135) :args (false (@list true false) (@list @t287 @t195))) % 4.24/4.41 ) % 4.24/4.41 % SZS output end Proof % 4.24/4.41 % cvc5 exiting %------------------------------------------------------------------------------