%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : TIM006_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 : n026.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 09:15:36 AM UTC 2026 % Result : Theorem 2.00s 2.25s % Output : Proof 2.00s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : TIM006_1 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n026.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Wed Jun 3 01:13:40 EDT 2026 % 0.15/0.34 % CPUTime : % 0.29/0.51 %----Proving TF0_ARI % 2.00/2.25 --- Run --finite-model-find --decision=internal at 45... % 2.00/2.25 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 2.00/2.25 % SZS status Theorem % 2.00/2.25 % SZS output start Proof % 2.00/2.25 ( % 2.00/2.25 (declare-sort tptp.time 0) % 2.00/2.25 (declare-sort tptp.date 0) % 2.00/2.25 (declare-sort tptp.day_name 0) % 2.00/2.25 (declare-const tptp.is_leap_year (-> Int Bool)) % 2.00/2.25 (declare-const tptp.zeller_prep (-> Int Int Int Int Int Int Bool)) % 2.00/2.25 (declare-const tptp.nth_weekday_date (-> Int tptp.day_name Int Int tptp.date Bool)) % 2.00/2.25 (declare-const tptp.calc_nth_offset (-> Int Int Int Bool)) % 2.00/2.25 (declare-const tptp.sunday tptp.day_name) % 2.00/2.25 (declare-const tptp.is_days_in_year (-> Int Int Bool)) % 2.00/2.25 (declare-const tptp.is_days_in_month (-> Int Int Int Bool)) % 2.00/2.25 (declare-const tptp.map_name_to_int (-> tptp.day_name Int Bool)) % 2.00/2.25 (declare-const tptp.thursday tptp.day_name) % 2.00/2.25 (declare-const tptp.valid_day (-> Int Bool)) % 2.00/2.25 (declare-const tptp.monday tptp.day_name) % 2.00/2.25 (declare-const tptp.calc_date (-> Int Int Int tptp.date Bool)) % 2.00/2.25 (declare-const tptp.map_iso (-> Int tptp.day_name Bool)) % 2.00/2.25 (declare-const tptp.ymd (-> Int Int Int tptp.date)) % 2.00/2.25 (declare-const tptp.weekday (-> tptp.date tptp.day_name Bool)) % 2.00/2.25 (declare-const tptp.friday tptp.day_name) % 2.00/2.25 (declare-const tptp.normalize_time (-> Int Int Int Int Int Int Int Bool)) % 2.00/2.25 (declare-const tptp.wednesday tptp.day_name) % 2.00/2.25 (declare-const tptp.calc_datetime (-> Int Int Int Int Int Int Int Int tptp.time Bool)) % 2.00/2.25 (declare-const tptp.saturday tptp.day_name) % 2.00/2.25 (declare-const tptp.tuesday tptp.day_name) % 2.00/2.25 (declare-const tptp.dt (-> Int Int Int Int Int tptp.time)) % 2.00/2.25 (define @t1 () (@var "D" Int)) % 2.00/2.25 (define @t2 () (> @t1 0)) % 2.00/2.25 (define @t3 () (and @t2 (<= @t1 31))) % 2.00/2.25 (define @t4 () (tptp.valid_day @t1)) % 2.00/2.25 (define @t5 () (= @t4 @t3)) % 2.00/2.25 (define @t6 () (@list @t1)) % 2.00/2.25 (define @t7 () (forall @t6 @t5)) % 2.00/2.25 (define @t8 () (tptp.ymd 2024 1 1)) % 2.00/2.25 (define @t9 () (tptp.weekday @t8 tptp.monday)) % 2.00/2.25 (define @t10 () (tptp.ymd 2025 1 1)) % 2.00/2.25 (define @t11 () (@var "DD" Int)) % 2.00/2.25 (define @t12 () (@var "EM" Int)) % 2.00/2.25 (define @t13 () (@var "EH" Int)) % 2.00/2.25 (define @t14 () (@var "AM" Int)) % 2.00/2.25 (define @t15 () (@var "AH" Int)) % 2.00/2.25 (define @t16 () (@var "SM" Int)) % 2.00/2.25 (define @t17 () (@var "SH" Int)) % 2.00/2.25 (define @t18 () (to_real 24)) % 2.00/2.25 (define @t19 () (@var "TotalH" Int)) % 2.00/2.25 (define @t20 () (to_real @t19)) % 2.00/2.25 (define @t21 () (/ @t20 @t18)) % 2.00/2.25 (define @t22 () (ite (>= @t18 0/1) (to_int @t21) (- (to_int (- @t21))))) % 2.00/2.25 (define @t23 () (@var "NormM" Int)) % 2.00/2.25 (define @t24 () (@var "CarryH" Int)) % 2.00/2.25 (define @t25 () (to_real 60)) % 2.00/2.25 (define @t26 () (@var "TotalM" Int)) % 2.00/2.25 (define @t27 () (to_real @t26)) % 2.00/2.25 (define @t28 () (/ @t27 @t25)) % 2.00/2.25 (define @t29 () (ite (>= @t25 0/1) (to_int @t28) (- (to_int (- @t28))))) % 2.00/2.25 (define @t30 () (@var "ResMin" Int)) % 2.00/2.25 (define @t31 () (@var "ResH" Int)) % 2.00/2.25 (define @t32 () (@var "ResD" Int)) % 2.00/2.25 (define @t33 () (@var "ResM" Int)) % 2.00/2.25 (define @t34 () (@var "ResY" Int)) % 2.00/2.25 (define @t35 () (@var "AD" Int)) % 2.00/2.25 (define @t36 () (@var "Min" Int)) % 2.00/2.25 (define @t37 () (@var "H" Int)) % 2.00/2.25 (define @t38 () (@var "M" Int)) % 2.00/2.25 (define @t39 () (@var "Y" Int)) % 2.00/2.25 (define @t40 () (@var "TimeDayDelta" Int)) % 2.00/2.25 (define @t41 () (@var "Res" tptp.date)) % 2.00/2.25 (define @t42 () (tptp.calc_date @t1 @t38 @t39 @t41)) % 2.00/2.25 (define @t43 () (+ @t39 400)) % 2.00/2.25 (define @t44 () (> @t1 200)) % 2.00/2.25 (define @t45 () (= @t38 1)) % 2.00/2.25 (define @t46 () (@list @t1 @t38 @t39 @t41)) % 2.00/2.25 (define @t47 () (+ @t1 36524)) % 2.00/2.25 (define @t48 () (- @t39 10)) % 2.00/2.25 (define @t49 () (tptp.calc_date (+ @t1 3652) 1 @t48 @t41)) % 2.00/2.25 (define @t50 () (to_real 4)) % 2.00/2.25 (define @t51 () (to_real @t48)) % 2.00/2.25 (define @t52 () (/ @t51 @t50)) % 2.00/2.25 (define @t53 () (>= @t50 0/1)) % 2.00/2.25 (define @t54 () (to_int (- @t51 (* (to_real (ite @t53 (to_int @t52) (- (to_int (- @t52))))) @t50)))) % 2.00/2.25 (define @t55 () (- 3652)) % 2.00/2.25 (define @t56 () (<= @t1 @t55)) % 2.00/2.25 (define @t57 () (=> (tptp.calc_date (- @t1 1461) 1 (+ @t39 4) @t41) @t42)) % 2.00/2.25 (define @t58 () (> @t1 1461)) % 2.00/2.25 (define @t59 () (@var "NextW_Name" tptp.day_name)) % 2.00/2.25 (define @t60 () (+ @t38 1)) % 2.00/2.25 (define @t61 () (@var "NextW_Int" Int)) % 2.00/2.25 (define @t62 () (to_real 7)) % 2.00/2.25 (define @t63 () (@var "DaysInM" Int)) % 2.00/2.25 (define @t64 () (@var "W_Int" Int)) % 2.00/2.25 (define @t65 () (to_real (+ @t64 @t63))) % 2.00/2.25 (define @t66 () (/ @t65 @t62)) % 2.00/2.25 (define @t67 () (>= @t62 0/1)) % 2.00/2.25 (define @t68 () (@var "W_Name" tptp.day_name)) % 2.00/2.25 (define @t69 () (tptp.ymd @t39 @t38 1)) % 2.00/2.25 (define @t70 () (- @t1 36524)) % 2.00/2.25 (define @t71 () (> @t1 36524)) % 2.00/2.25 (define @t72 () (to_real @t39)) % 2.00/2.25 (define @t73 () (/ @t72 @t50)) % 2.00/2.25 (define @t74 () (to_int (- @t72 (* (to_real (ite @t53 (to_int @t73) (- (to_int (- @t73))))) @t50)))) % 2.00/2.25 (define @t75 () (= @t74 0)) % 2.00/2.25 (define @t76 () (@var "Limit" Int)) % 2.00/2.25 (define @t77 () (- @t1 @t76)) % 2.00/2.25 (define @t78 () (=> (tptp.calc_date @t77 1 (+ @t39 1) @t41) @t42)) % 2.00/2.25 (define @t79 () (> @t1 @t76)) % 2.00/2.25 (define @t80 () (@list @t1 @t38 @t39 @t76 @t41)) % 2.00/2.25 (define @t81 () (@list @t39)) % 2.00/2.25 (define @t82 () (to_real 400)) % 2.00/2.25 (define @t83 () (/ @t72 @t82)) % 2.00/2.25 (define @t84 () (= (to_int (- @t72 (* (to_real (ite (>= @t82 0/1) (to_int @t83) (- (to_int (- @t83))))) @t82))) 0)) % 2.00/2.25 (define @t85 () (to_real 100)) % 2.00/2.25 (define @t86 () (/ @t72 @t85)) % 2.00/2.25 (define @t87 () (>= @t85 0/1)) % 2.00/2.25 (define @t88 () (ite @t87 (to_int @t86) (- (to_int (- @t86))))) % 2.00/2.25 (define @t89 () (to_int (- @t72 (* (to_real @t88) @t85)))) % 2.00/2.25 (define @t90 () (= @t89 0)) % 2.00/2.25 (define @t91 () (tptp.ymd @t39 @t38 @t1)) % 2.00/2.25 (define @t92 () (tptp.is_days_in_month @t38 @t39 @t76)) % 2.00/2.25 (define @t93 () (= @t38 12)) % 2.00/2.25 (define @t94 () (- @t38 1)) % 2.00/2.25 (define @t95 () (+ @t1 @t76)) % 2.00/2.25 (define @t96 () (not @t45)) % 2.00/2.25 (define @t97 () (<= @t1 0)) % 2.00/2.25 (define @t98 () (- @t39 1)) % 2.00/2.25 (define @t99 () (tptp.map_name_to_int tptp.monday 2)) % 2.00/2.25 (define @t100 () (@var "S" Int)) % 2.00/2.25 (define @t101 () (@var "T" Int)) % 2.00/2.25 (define @t102 () (- @t101 @t100)) % 2.00/2.25 (define @t103 () (+ @t102 7)) % 2.00/2.25 (define @t104 () (to_real @t103)) % 2.00/2.25 (define @t105 () (/ @t104 @t62)) % 2.00/2.25 (define @t106 () (- @t105)) % 2.00/2.25 (define @t107 () (to_int @t106)) % 2.00/2.25 (define @t108 () (- @t107)) % 2.00/2.25 (define @t109 () (to_int @t105)) % 2.00/2.25 (define @t110 () (ite @t67 @t109 @t108)) % 2.00/2.25 (define @t111 () (to_real @t110)) % 2.00/2.25 (define @t112 () (* @t111 @t62)) % 2.00/2.25 (define @t113 () (- @t104 @t112)) % 2.00/2.25 (define @t114 () (to_int @t113)) % 2.00/2.25 (define @t115 () (@var "O" Int)) % 2.00/2.25 (define @t116 () (= @t115 @t114)) % 2.00/2.25 (define @t117 () (and (<= 0 @t100) (<= @t100 6) (<= 0 @t101) (<= @t101 6) (<= 0 @t115) (<= @t115 6) @t116)) % 2.00/2.25 (define @t118 () (tptp.calc_nth_offset @t100 @t101 @t115)) % 2.00/2.25 (define @t119 () (= @t118 @t117)) % 2.00/2.25 (define @t120 () (@list @t100 @t101 @t115)) % 2.00/2.25 (define @t121 () (forall @t120 @t119)) % 2.00/2.25 (define @t122 () (@var "FinalDay" Int)) % 2.00/2.25 (define @t123 () (@var "DName" tptp.day_name)) % 2.00/2.25 (define @t124 () (@var "N" Int)) % 2.00/2.25 (define @t125 () (tptp.nth_weekday_date @t124 @t123 @t38 @t39 (tptp.ymd @t39 @t38 @t122))) % 2.00/2.25 (define @t126 () (- @t124 1)) % 2.00/2.25 (define @t127 () (* @t126 7)) % 2.00/2.25 (define @t128 () (@var "Offset" Int)) % 2.00/2.25 (define @t129 () (+ 1 (+ @t128 @t127))) % 2.00/2.25 (define @t130 () (= @t122 @t129)) % 2.00/2.25 (define @t131 () (@var "TargetDayInt" Int)) % 2.00/2.25 (define @t132 () (@var "StartDayInt" Int)) % 2.00/2.25 (define @t133 () (tptp.calc_nth_offset @t132 @t131 @t128)) % 2.00/2.25 (define @t134 () (tptp.map_name_to_int @t123 @t131)) % 2.00/2.25 (define @t135 () (@var "StartDayName" tptp.day_name)) % 2.00/2.25 (define @t136 () (tptp.map_name_to_int @t135 @t132)) % 2.00/2.25 (define @t137 () (tptp.weekday @t69 @t135)) % 2.00/2.25 (define @t138 () (and @t137 @t136 @t134 @t133 @t130)) % 2.00/2.25 (define @t139 () (=> @t138 @t125)) % 2.00/2.25 (define @t140 () (@list @t124 @t123 @t38 @t39 @t135 @t132 @t131 @t128 @t122)) % 2.00/2.25 (define @t141 () (forall @t140 @t139)) % 2.00/2.25 (define @t142 () (@var "N2" tptp.day_name)) % 2.00/2.25 (define @t143 () (@var "N1" tptp.day_name)) % 2.00/2.25 (define @t144 () (@var "Dt" tptp.date)) % 2.00/2.25 (define @t145 () (@var "I2" Int)) % 2.00/2.25 (define @t146 () (@var "I1" Int)) % 2.00/2.25 (define @t147 () (@var "Nm" tptp.day_name)) % 2.00/2.25 (define @t148 () (to_real @t98)) % 2.00/2.25 (define @t149 () (/ @t148 @t85)) % 2.00/2.25 (define @t150 () (ite @t87 (to_int @t149) (- (to_int (- @t149))))) % 2.00/2.25 (define @t151 () (= @t38 2)) % 2.00/2.25 (define @t152 () (@list @t38 @t39)) % 2.00/2.25 (define @t153 () (@var "Name" tptp.day_name)) % 2.00/2.25 (define @t154 () (@var "Term2" Int)) % 2.00/2.25 (define @t155 () (to_real @t154)) % 2.00/2.25 (define @t156 () (/ @t155 @t62)) % 2.00/2.25 (define @t157 () (to_real (+ (to_int (- @t155 (* (to_real (ite @t67 (to_int @t156) (- (to_int (- @t156))))) @t62))) 7))) % 2.00/2.25 (define @t158 () (/ @t157 @t62)) % 2.00/2.25 (define @t159 () (@var "J" Int)) % 2.00/2.25 (define @t160 () (/ (to_real @t159) @t50)) % 2.00/2.25 (define @t161 () (@var "K" Int)) % 2.00/2.25 (define @t162 () (/ (to_real @t161) @t50)) % 2.00/2.25 (define @t163 () (@var "Term1" Int)) % 2.00/2.25 (define @t164 () (to_real 5)) % 2.00/2.25 (define @t165 () (@var "ZM" Int)) % 2.00/2.25 (define @t166 () (/ (to_real (* 13 (+ @t165 1))) @t164)) % 2.00/2.25 (define @t167 () (@var "ZY" Int)) % 2.00/2.25 (define @t168 () (tptp.calc_date @t1 1 @t39 @t41)) % 2.00/2.25 (define @t169 () (tptp.is_leap_year @t98)) % 2.00/2.25 (define @t170 () (@list @t1 @t39 @t41)) % 2.00/2.25 (define @t171 () (@var "W" tptp.day_name)) % 2.00/2.25 (define @t172 () (@var "Res2" tptp.date)) % 2.00/2.25 (define @t173 () (@var "Res1" tptp.date)) % 2.00/2.25 (define @t174 () (@var "D4" Int)) % 2.00/2.25 (define @t175 () (tptp.ymd @t39 @t38 @t174)) % 2.00/2.25 (define @t176 () (@var "D5" Int)) % 2.00/2.25 (define @t177 () (= @t1 1)) % 2.00/2.25 (define @t178 () (tptp.nth_weekday_date 1 tptp.monday 1 2024 @t91)) % 2.00/2.25 (define @t179 () (and @t178 @t177 @t4)) % 2.00/2.25 (define @t180 () (@list @t39 @t38 @t1)) % 2.00/2.25 (define @t181 () (exists @t180 @t179)) % 2.00/2.25 (define @t182 () (not @t181)) % 2.00/2.25 (define @t183 () (to_real @t101)) % 2.00/2.25 (define @t184 () (to_real @t100)) % 2.00/2.25 (define @t185 () (+ 1/1 (* -1/7 @t184) (* 1/7 @t183))) % 2.00/2.25 (define @t186 () (to_int @t185)) % 2.00/2.25 (define @t187 () (* -7 @t186)) % 2.00/2.25 (define @t188 () (+ 7 @t101 (* -1 @t115) @t187)) % 2.00/2.25 (define @t189 () (* -1 @t100)) % 2.00/2.25 (define @t190 () (+ 7 @t189 @t101 @t187)) % 2.00/2.25 (define @t191 () (= @t100 @t188)) % 2.00/2.25 (define @t192 () (to_real @t187)) % 2.00/2.25 (define @t193 () (+ 7 @t189 @t101)) % 2.00/2.25 (define @t194 () (to_real @t193)) % 2.00/2.25 (define @t195 () (to_real (* 7 @t186))) % 2.00/2.25 (define @t196 () (+ -1/1 (* 1/7 @t184) (* -1/7 @t183))) % 2.00/2.25 (define @t197 () (+ @t189 @t101)) % 2.00/2.25 (define @t198 () (+ @t101 @t189)) % 2.00/2.25 (define @t199 () (* @t104 1/7)) % 2.00/2.25 (define @t200 () (* -1/1 @t105)) % 2.00/2.25 (define @t201 () (* -1 @t107)) % 2.00/2.25 (define @t202 () (* -1/1 @t112)) % 2.00/2.25 (define @t203 () (+ @t104 @t202)) % 2.00/2.25 (define @t204 () (+ 6 1)) % 2.00/2.25 (define @t205 () (>= @t115 @t204)) % 2.00/2.25 (define @t206 () (>= @t101 @t204)) % 2.00/2.25 (define @t207 () (>= @t100 @t204)) % 2.00/2.25 (define @t208 () (+ 6 (* -7 @t124) @t122)) % 2.00/2.25 (define @t209 () (not (tptp.calc_nth_offset @t132 @t131 @t208))) % 2.00/2.25 (define @t210 () (not @t134)) % 2.00/2.25 (define @t211 () (not @t136)) % 2.00/2.25 (define @t212 () (not @t137)) % 2.00/2.25 (define @t213 () (or @t212 @t211 @t210 @t209 @t125)) % 2.00/2.25 (define @t214 () (not (= @t208 @t208))) % 2.00/2.25 (define @t215 () (or @t212 @t211 @t210 @t209 @t214 @t125)) % 2.00/2.25 (define @t216 () (@list @t124 @t123 @t38 @t39 @t135 @t132 @t131 @t122)) % 2.00/2.25 (define @t217 () (= @t128 @t208)) % 2.00/2.25 (define @t218 () (not @t217)) % 2.00/2.25 (define @t219 () (not @t133)) % 2.00/2.25 (define @t220 () (or @t218 @t212 @t211 @t210 @t219 @t218 @t125)) % 2.00/2.25 (define @t221 () (@list @t128)) % 2.00/2.25 (define @t222 () (or @t212 @t211 @t210 @t219 @t218 @t125)) % 2.00/2.25 (define @t223 () (forall @t221 @t222)) % 2.00/2.25 (define @t224 () (forall @t216 @t223)) % 2.00/2.25 (define @t225 () (forall (@list @t124 @t123 @t38 @t39 @t135 @t132 @t131 @t122 @t128) @t222)) % 2.00/2.25 (define @t226 () (or @t212 @t211 @t210 @t219 @t218)) % 2.00/2.25 (define @t227 () (and @t137 @t136 @t134 @t133 @t217)) % 2.00/2.25 (define @t228 () (* 7 @t124)) % 2.00/2.25 (define @t229 () (+ -6 @t228 @t128)) % 2.00/2.25 (define @t230 () (+ -7 @t228)) % 2.00/2.25 (define @t231 () (+ -1 @t124)) % 2.00/2.25 (define @t232 () (* -1 1)) % 2.00/2.25 (define @t233 () (+ @t124 @t232)) % 2.00/2.25 (define @t234 () (+ @t127 @t128 1)) % 2.00/2.25 (define @t235 () (tptp.nth_weekday_date 1 tptp.monday 1 2024 @t8)) % 2.00/2.25 (define @t236 () (* -7 1)) % 2.00/2.25 (define @t237 () (+ 6 @t236 1)) % 2.00/2.25 (define @t238 () (tptp.calc_nth_offset 2 2 @t237)) % 2.00/2.25 (define @t239 () (not @t238)) % 2.00/2.25 (define @t240 () (not @t99)) % 2.00/2.25 (define @t241 () (not @t9)) % 2.00/2.25 (define @t242 () (or @t241 @t240 @t240 @t239 @t235)) % 2.00/2.25 (define @t243 () (forall @t216 @t213)) % 2.00/2.25 (define @t244 () (tptp.calc_nth_offset 2 2 0)) % 2.00/2.25 (define @t245 () (not @t244)) % 2.00/2.25 (define @t246 () (or @t241 @t240 @t240 @t245 @t235)) % 2.00/2.25 (define @t247 () (@list false)) % 2.00/2.25 (define @t248 () (+ 31 1)) % 2.00/2.25 (define @t249 () (>= @t1 @t248)) % 2.00/2.25 (define @t250 () (>= @t1 1)) % 2.00/2.25 (define @t251 () (+ 0 1)) % 2.00/2.25 (define @t252 () (>= @t1 @t251)) % 2.00/2.25 (define @t253 () (tptp.valid_day 1)) % 2.00/2.25 (define @t254 () (>= 1 32)) % 2.00/2.25 (define @t255 () (not @t254)) % 2.00/2.25 (define @t256 () (>= 1 1)) % 2.00/2.25 (define @t257 () (and @t256 @t255)) % 2.00/2.25 (define @t258 () (= @t253 @t257)) % 2.00/2.25 (define @t259 () (forall @t6 (= @t4 (and @t250 (not (>= @t1 32)))))) % 2.00/2.25 (define @t260 () (not (tptp.nth_weekday_date 1 tptp.monday 1 2024 @t69))) % 2.00/2.25 (define @t261 () (@list @t39 @t38)) % 2.00/2.25 (define @t262 () (forall @t261 @t260)) % 2.00/2.25 (define @t263 () (not @t253)) % 2.00/2.25 (define @t264 () (or @t263 @t262)) % 2.00/2.25 (define @t265 () (or @t263 @t260)) % 2.00/2.25 (define @t266 () (or @t260 @t263)) % 2.00/2.25 (define @t267 () (= 1 1)) % 2.00/2.25 (define @t268 () (not @t267)) % 2.00/2.25 (define @t269 () (or @t260 @t268 @t263)) % 2.00/2.25 (define @t270 () (not @t4)) % 2.00/2.25 (define @t271 () (not @t177)) % 2.00/2.25 (define @t272 () (not @t178)) % 2.00/2.25 (define @t273 () (or @t271 @t272 @t271 @t270)) % 2.00/2.25 (define @t274 () (or @t272 @t271 @t270)) % 2.00/2.25 (define @t275 () (forall @t6 @t274)) % 2.00/2.25 (define @t276 () (forall @t261 @t275)) % 2.00/2.25 (define @t277 () (forall @t180 (not @t179))) % 2.00/2.25 (define @t278 () (not @t277)) % 2.00/2.25 (define @t279 () (* 1/7 2/1)) % 2.00/2.25 (define @t280 () (* -1/7 2/1)) % 2.00/2.25 (define @t281 () (+ 1/1 @t280 @t279)) % 2.00/2.25 (define @t282 () (to_int @t281)) % 2.00/2.25 (define @t283 () (* -7 @t282)) % 2.00/2.25 (define @t284 () (* -1 0)) % 2.00/2.25 (define @t285 () (+ 7 2 @t284 @t283)) % 2.00/2.25 (define @t286 () (= 2 @t285)) % 2.00/2.25 (define @t287 () (>= 0 7)) % 2.00/2.25 (define @t288 () (not @t287)) % 2.00/2.25 (define @t289 () (>= 0 0)) % 2.00/2.25 (define @t290 () (>= 2 7)) % 2.00/2.25 (define @t291 () (not @t290)) % 2.00/2.25 (define @t292 () (>= 2 0)) % 2.00/2.25 (define @t293 () (and @t292 @t291 @t292 @t291 @t289 @t288 @t286)) % 2.00/2.25 (define @t294 () (= @t244 @t293)) % 2.00/2.25 (define @t295 () (forall @t120 (= @t118 (and (>= @t100 0) (not (>= @t100 7)) (>= @t101 0) (not (>= @t101 7)) (>= @t115 0) (not (>= @t115 7)) @t191)))) % 2.00/2.25 (define @t296 () (to_real 2)) % 2.00/2.25 (define @t297 () (* 1/7 @t296)) % 2.00/2.25 (define @t298 () (* -1/7 @t296)) % 2.00/2.25 (define @t299 () (+ 1/1 @t298 @t297)) % 2.00/2.25 (define @t300 () (to_int @t299)) % 2.00/2.25 (define @t301 () (* -7 @t300)) % 2.00/2.25 (define @t302 () (+ 7 2 @t284 @t301)) % 2.00/2.25 (define @t303 () (= 2 @t302)) % 2.00/2.25 (define @t304 () (and @t292 @t291 @t292 @t291 @t289 @t288 @t303)) % 2.00/2.25 (assume @p1 @t7) % 2.00/2.25 (assume @p2 @t9) % 2.00/2.25 (assume @p3 (tptp.weekday (tptp.ymd 2024 2 1) tptp.thursday)) % 2.00/2.25 (assume @p4 (tptp.weekday (tptp.ymd 2024 3 1) tptp.friday)) % 2.00/2.25 (assume @p5 (tptp.weekday (tptp.ymd 2024 4 1) tptp.monday)) % 2.00/2.25 (assume @p6 (tptp.weekday (tptp.ymd 2024 5 1) tptp.wednesday)) % 2.00/2.25 (assume @p7 (tptp.weekday @t10 tptp.wednesday)) % 2.00/2.25 (assume @p8 (tptp.weekday (tptp.ymd 2025 2 1) tptp.saturday)) % 2.00/2.25 (assume @p9 (tptp.weekday (tptp.ymd 2025 3 1) tptp.saturday)) % 2.00/2.25 (assume @p10 (tptp.weekday (tptp.ymd 2025 11 1) tptp.saturday)) % 2.00/2.25 (assume @p11 (tptp.weekday (tptp.ymd 1776 1 1) tptp.monday)) % 2.00/2.25 (assume @p12 (tptp.weekday (tptp.ymd 1969 1 1) tptp.wednesday)) % 2.00/2.25 (assume @p13 (tptp.weekday (tptp.ymd 1985 1 1) tptp.tuesday)) % 2.00/2.25 (assume @p14 (tptp.weekday (tptp.ymd 1600 1 1) tptp.saturday)) % 2.00/2.25 (assume @p15 (tptp.calc_date 0 3 2024 (tptp.ymd 2024 2 29))) % 2.00/2.25 (assume @p16 (tptp.calc_date 0 3 2025 (tptp.ymd 2025 2 28))) % 2.00/2.25 (assume @p17 (tptp.calc_date 0 1 2025 (tptp.ymd 2024 12 31))) % 2.00/2.25 (assume @p18 (tptp.calc_date 0 1 2024 (tptp.ymd 2023 12 31))) % 2.00/2.25 (assume @p19 (tptp.calc_date 32 12 2024 @t10)) % 2.00/2.25 (assume @p20 (forall (@list @t17 @t16 @t15 @t14 @t13 @t12 @t11 @t26 @t23 @t24 @t19) (=> (and (= @t26 (+ @t16 @t14)) (= @t23 (to_int (- @t27 (* (to_real @t29) @t25)))) (= @t24 @t29) (= @t19 (+ @t17 (+ @t15 @t24))) (= @t13 (to_int (- @t20 (* (to_real @t22) @t18)))) (= @t12 @t23) (= @t11 @t22)) (tptp.normalize_time @t17 @t16 @t15 @t14 @t13 @t12 @t11)))) % 2.00/2.25 (assume @p21 (forall (@list @t39 @t38 @t1 @t37 @t36 @t35 @t15 @t14 @t34 @t33 @t32 @t31 @t30 @t40) (=> (and (tptp.normalize_time @t37 @t36 @t15 @t14 @t31 @t30 @t40) (tptp.calc_date (+ @t1 (+ @t35 @t40)) @t38 @t39 (tptp.ymd @t34 @t33 @t32))) (tptp.calc_datetime @t39 @t38 @t1 @t37 @t36 @t35 @t15 @t14 (tptp.dt @t34 @t33 @t32 @t31 @t30))))) % 2.00/2.25 (assume @p22 (forall @t46 (=> (and @t45 (> @t1 146097) @t44) (=> (tptp.calc_date (- @t1 146097) 1 @t43 @t41) @t42)))) % 2.00/2.25 (assume @p23 (forall @t46 (=> (and @t45 (<= @t1 (- 146097))) (=> (tptp.calc_date (+ @t1 146097) 1 (- @t39 400) @t41) @t42)))) % 2.00/2.25 (assume @p24 (forall @t46 (=> (and @t45 (<= @t1 (- 36524))) (=> (tptp.calc_date @t47 1 (- @t39 100) @t41) @t42)))) % 2.00/2.25 (assume @p25 (forall @t46 (=> (and @t45 @t56 (or (= @t54 1) (= @t54 2))) (=> @t49 @t42)))) % 2.00/2.25 (assume @p26 (forall @t46 (=> (and @t45 (<= @t1 (- 3653)) (or (= @t54 0) (= @t54 3))) (=> (tptp.calc_date (+ @t1 3653) 1 @t48 @t41) @t42)))) % 2.00/2.25 (assume @p27 (forall @t46 (=> (and @t45 @t58 @t44 (> @t39 2000) (< @t39 2095)) @t57))) % 2.00/2.25 (assume @p28 (forall (@list @t39 @t38 @t68 @t64 @t63 @t61 @t59) (=> (and (tptp.weekday @t69 @t68) (tptp.is_days_in_month @t38 @t39 @t63) (tptp.map_name_to_int @t68 @t64) (= @t61 (to_int (- @t65 (* (to_real (ite @t67 (to_int @t66) (- (to_int (- @t66))))) @t62)))) (tptp.map_iso @t61 @t59)) (tptp.weekday (tptp.ymd @t39 @t60 1) @t59)))) % 2.00/2.25 (assume @p29 (forall @t46 (=> (and @t45 @t71 @t44) (=> (tptp.calc_date @t70 1 (+ @t39 100) @t41) @t42)))) % 2.00/2.25 (assume @p30 (forall @t6 (=> (> @t1 100000) @t71))) % 2.00/2.25 (assume @p31 (forall @t6 (=> (> @t1 400000) (> (- @t1 365240) 3652)))) % 2.00/2.25 (assume @p32 (forall @t6 (=> (> @t1 40000) (> @t70 1461)))) % 2.00/2.25 (assume @p33 (forall @t6 (=> (< @t1 (- 41000)) (< @t47 @t55)))) % 2.00/2.25 (assume @p34 (forall @t46 (=> (and @t45 (> @t1 3653) @t44 (or @t75 (= @t74 3))) (=> (tptp.calc_date (- @t1 3653) 1 (+ @t39 10) @t41) @t42)))) % 2.00/2.25 (assume @p35 (forall @t46 (=> (and @t45 @t58 @t44 @t75) @t57))) % 2.00/2.25 (assume @p36 (forall @t80 (=> (and @t45 (tptp.is_days_in_year @t39 @t76) @t79 @t44) @t78))) % 2.00/2.25 (assume @p37 (forall @t81 (tptp.is_days_in_month 1 @t39 31))) % 2.00/2.25 (assume @p38 (forall @t81 (and (=> (and @t75 (or (not @t90) @t84)) (tptp.is_days_in_month 2 @t39 29)) (=> (or (not @t75) (and @t90 (not @t84))) (tptp.is_days_in_month 2 @t39 28))))) % 2.00/2.25 (assume @p39 (forall @t81 (tptp.is_days_in_month 3 @t39 31))) % 2.00/2.25 (assume @p40 (forall @t81 (tptp.is_days_in_month 4 @t39 30))) % 2.00/2.25 (assume @p41 (forall @t81 (tptp.is_days_in_month 5 @t39 31))) % 2.00/2.25 (assume @p42 (forall @t81 (tptp.is_days_in_month 6 @t39 30))) % 2.00/2.25 (assume @p43 (forall @t81 (tptp.is_days_in_month 7 @t39 31))) % 2.00/2.25 (assume @p44 (forall @t81 (tptp.is_days_in_month 8 @t39 31))) % 2.00/2.25 (assume @p45 (forall @t81 (tptp.is_days_in_month 9 @t39 30))) % 2.00/2.25 (assume @p46 (forall @t81 (tptp.is_days_in_month 10 @t39 31))) % 2.00/2.25 (assume @p47 (forall @t81 (tptp.is_days_in_month 11 @t39 30))) % 2.00/2.25 (assume @p48 (forall @t81 (tptp.is_days_in_month 12 @t39 31))) % 2.00/2.25 (assume @p49 (forall (@list @t1 @t38 @t39 @t76) (=> (and @t92 @t2 (<= @t1 @t76)) (tptp.calc_date @t1 @t38 @t39 @t91)))) % 2.00/2.25 (assume @p50 (forall @t80 (=> (and @t92 @t79 (not @t93)) (=> (tptp.calc_date @t77 @t60 @t39 @t41) @t42)))) % 2.00/2.25 (assume @p51 (forall @t80 (=> (and @t92 @t79 @t93) @t78))) % 2.00/2.25 (assume @p52 (forall @t80 (=> (and @t97 @t96) (=> (and (tptp.is_days_in_month @t94 @t39 @t76) (tptp.calc_date @t95 @t94 @t39 @t41)) @t42)))) % 2.00/2.25 (assume @p53 (forall @t80 (=> (and @t97 @t45) (=> (and (tptp.is_days_in_month 12 @t98 @t76) (tptp.calc_date @t95 12 @t98 @t41)) @t42)))) % 2.00/2.25 (assume @p54 (tptp.map_name_to_int tptp.saturday 0)) % 2.00/2.25 (assume @p55 (tptp.map_name_to_int tptp.sunday 1)) % 2.00/2.25 (assume @p56 @t99) % 2.00/2.25 (assume @p57 (tptp.map_name_to_int tptp.tuesday 3)) % 2.00/2.25 (assume @p58 (tptp.map_name_to_int tptp.wednesday 4)) % 2.00/2.25 (assume @p59 (tptp.map_name_to_int tptp.thursday 5)) % 2.00/2.25 (assume @p60 (tptp.map_name_to_int tptp.friday 6)) % 2.00/2.25 (assume @p61 @t121) % 2.00/2.25 (assume @p62 @t141) % 2.00/2.25 (assume @p63 (forall (@list @t144 @t143 @t142) (=> (and (tptp.weekday @t144 @t143) (tptp.weekday @t144 @t142)) (= @t143 @t142)))) % 2.00/2.25 (assume @p64 (forall (@list @t147 @t146 @t145) (=> (and (tptp.map_name_to_int @t147 @t146) (tptp.map_name_to_int @t147 @t145)) (= @t146 @t145)))) % 2.00/2.25 (assume @p65 (forall @t152 (=> (or @t45 @t151) (tptp.zeller_prep @t38 @t39 (+ @t38 12) @t98 (to_int (- @t148 (* (to_real @t150) @t85))) @t150)))) % 2.00/2.25 (assume @p66 (forall @t152 (=> (and @t96 (not @t151)) (tptp.zeller_prep @t38 @t39 @t38 @t39 @t89 @t88)))) % 2.00/2.25 (assume @p67 (forall (@list @t39 @t38 @t1 @t153 @t165 @t167 @t161 @t159 @t163 @t154 @t37) (=> (and (> @t39 1582) (not (= @t39 2024)) (not (= @t39 2025)) (not (= @t39 1776)) (not (= @t39 1969)) (not (= @t39 1985)) (tptp.zeller_prep @t38 @t39 @t165 @t167 @t161 @t159) (= @t163 (ite (>= @t164 0/1) (to_int @t166) (- (to_int (- @t166))))) (= @t154 (+ @t1 (+ @t163 (+ @t161 (+ (ite @t53 (to_int @t162) (- (to_int (- @t162)))) (+ (ite @t53 (to_int @t160) (- (to_int (- @t160)))) (* 5 @t159))))))) (= @t37 (to_int (- @t157 (* (to_real (ite @t67 (to_int @t158) (- (to_int (- @t158))))) @t62)))) (tptp.map_iso @t37 @t153)) (tptp.weekday @t91 @t153)))) % 2.00/2.25 (assume @p68 (tptp.map_iso 0 tptp.saturday)) % 2.00/2.25 (assume @p69 (tptp.map_iso 1 tptp.sunday)) % 2.00/2.25 (assume @p70 (tptp.map_iso 2 tptp.monday)) % 2.00/2.25 (assume @p71 (tptp.map_iso 3 tptp.tuesday)) % 2.00/2.25 (assume @p72 (tptp.map_iso 4 tptp.wednesday)) % 2.00/2.25 (assume @p73 (tptp.map_iso 5 tptp.thursday)) % 2.00/2.25 (assume @p74 (tptp.map_iso 6 tptp.friday)) % 2.00/2.25 (assume @p75 (tptp.is_days_in_year 2024 366)) % 2.00/2.25 (assume @p76 (tptp.is_days_in_year 2025 365)) % 2.00/2.25 (assume @p77 (tptp.is_days_in_year 2026 365)) % 2.00/2.25 (assume @p78 (tptp.is_days_in_year 2027 365)) % 2.00/2.25 (assume @p79 (tptp.is_days_in_year 2028 366)) % 2.00/2.25 (assume @p80 (tptp.calc_date 1461 1 2025 (tptp.ymd 2028 12 31))) % 2.00/2.25 (assume @p81 (tptp.is_days_in_month 2 1776 29)) % 2.00/2.25 (assume @p82 (tptp.is_days_in_month 2 2024 29)) % 2.00/2.25 (assume @p83 (forall @t170 (=> (and (<= @t1 (- 365)) (not @t169)) (=> (tptp.calc_date (+ @t1 365) 1 @t98 @t41) @t168)))) % 2.00/2.25 (assume @p84 (forall @t170 (=> (and (<= @t1 (- 366)) @t169) (=> (tptp.calc_date (+ @t1 366) 1 @t98 @t41) @t168)))) % 2.00/2.25 (assume @p85 (forall @t170 (=> @t56 (=> @t49 @t168)))) % 2.00/2.25 (assume @p86 (forall (@list @t39 @t38 @t1 @t171 @t173 @t172) (=> (and (tptp.calc_date @t1 @t38 @t39 @t173) (tptp.calc_date @t1 @t38 @t43 @t172)) (= (tptp.weekday @t173 @t171) (tptp.weekday @t172 @t171))))) % 2.00/2.25 (assume @p87 (forall (@list @t123 @t38 @t39 @t174 @t176) (=> (and (tptp.nth_weekday_date 4 @t123 @t38 @t39 @t175) (tptp.nth_weekday_date 5 @t123 @t38 @t39 (tptp.ymd @t39 @t38 @t176)) (tptp.is_days_in_month @t38 @t39 @t174) (not (tptp.is_days_in_month @t38 @t39 @t176))) (tptp.nth_weekday_date 5 @t123 @t38 @t39 @t175)))) % 2.00/2.25 (assume @p88 @t182) % 2.00/2.25 (assume @p89 true) % 2.00/2.25 (step @p90 :rule arith_poly_norm :args ((= (* -7 (- @t115 @t190)) (* -7 (- @t100 @t188))))) % 2.00/2.25 (step @p91 :rule arith_poly_norm_rel :premises (@p90) :args ((= (= @t115 @t190) @t191))) % 2.00/2.25 (step @p92 :rule arith-to-int-elim-to-real :args (@t190)) % 2.00/2.25 (step @p93 :rule arith_poly_norm :args ((= (+ @t194 @t192) (to_real @t190)))) % 2.00/2.25 (step @p94 :rule arith_poly_norm :args ((= (* -1/1 @t195) @t192))) % 2.00/2.25 (step @p95 :rule arith_poly_norm :args ((= (* (to_real @t186) 7/1) @t195))) % 2.00/2.25 (step @p96 :rule evaluate :args (@t62)) % 2.00/2.25 (step @p97 :rule ite-true-cond :args (@t186 (* -1 (to_int @t196)))) % 2.00/2.25 (step @p98 :rule arith_poly_norm :args ((= (* -1/1 @t185) @t196))) % 2.00/2.25 (step @p99 :rule arith_poly_norm :args ((= (* @t194 1/7) @t185))) % 2.00/2.25 (step @p100 :rule refl :args (1/7)) % 2.00/2.25 (step @p101 :rule arith_poly_norm :args ((= (+ @t197 7) @t193))) % 2.00/2.25 (step @p102 :rule refl :args (7)) % 2.00/2.25 (step @p103 :rule arith_poly_norm :args ((= @t198 @t197))) % 2.00/2.25 (step @p104 :rule arith_poly_norm :args ((= @t102 @t198))) % 2.00/2.25 (step @p105 :rule trans :premises (@p104 @p103)) % 2.00/2.25 (step @p106 :rule nary_cong :premises (@p105 @p102) :args (@t103)) % 2.00/2.25 (step @p107 :rule trans :premises (@p106 @p101)) % 2.00/2.25 (step @p108 :rule cong :premises (@p107) :args (@t104)) % 2.00/2.25 (step @p109 :rule nary_cong :premises (@p108 @p100) :args (@t199)) % 2.00/2.25 (step @p110 :rule trans :premises (@p109 @p99)) % 2.00/2.25 ; WARNING: add trust step for TRUST_THEORY_REWRITE % 2.00/2.25 ; trust TRUST_THEORY_REWRITE % 2.00/2.25 (step @p111 :rule trust :premises () :args ((= @t105 @t199))) % 2.00/2.25 (step @p112 :rule trans :premises (@p111 @p110)) % 2.00/2.25 (step @p113 :rule refl :args (-1/1)) % 2.00/2.25 (step @p114 :rule nary_cong :premises (@p113 @p112) :args (@t200)) % 2.00/2.25 (step @p115 :rule trans :premises (@p114 @p98)) % 2.00/2.25 (step @p116 :rule arith_poly_norm :args ((= @t106 @t200))) % 2.00/2.25 (step @p117 :rule trans :premises (@p116 @p115)) % 2.00/2.25 (step @p118 :rule cong :premises (@p117) :args (@t107)) % 2.00/2.25 (step @p119 :rule refl :args (-1)) % 2.00/2.25 (step @p120 :rule nary_cong :premises (@p119 @p118) :args (@t201)) % 2.00/2.25 (step @p121 :rule arith_poly_norm :args ((= @t108 @t201))) % 2.00/2.25 (step @p122 :rule trans :premises (@p121 @p120)) % 2.00/2.25 (step @p123 :rule cong :premises (@p112) :args (@t109)) % 2.00/2.25 (step @p124 :rule evaluate :args ((>= 7/1 0/1))) % 2.00/2.25 (step @p125 :rule refl :args (0/1)) % 2.00/2.25 (step @p126 :rule cong :premises (@p96 @p125) :args (@t67)) % 2.00/2.25 (step @p127 :rule trans :premises (@p126 @p124)) % 2.00/2.25 (step @p128 :rule cong :premises (@p127 @p123 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evaluate :args ((= 2 2))) % 2.00/2.26 (step @p363 :rule evaluate :args ((+ 7 2 0 -7))) % 2.00/2.26 (step @p364 :rule evaluate :args ((to_int 1/1))) % 2.00/2.26 (step @p365 :rule evaluate :args ((+ 1/1 -2/7 2/7))) % 2.00/2.26 (step @p366 :rule evaluate :args (@t279)) % 2.00/2.26 (step @p367 :rule evaluate :args (@t280)) % 2.00/2.26 (step @p368 :rule refl :args (1/1)) % 2.00/2.26 (step @p369 :rule nary_cong :premises (@p368 @p367 @p366) :args (@t281)) % 2.00/2.26 (step @p370 :rule trans :premises (@p369 @p365)) % 2.00/2.26 (step @p371 :rule cong :premises (@p370) :args (@t282)) % 2.00/2.26 (step @p372 :rule trans :premises (@p371 @p364)) % 2.00/2.26 (step @p373 :rule refl :args (-7)) % 2.00/2.26 (step @p374 :rule nary_cong :premises (@p373 @p372) :args (@t283)) % 2.00/2.26 (step @p375 :rule trans :premises (@p374 @p249)) % 2.00/2.26 (step @p376 :rule evaluate :args (@t284)) % 2.00/2.26 (step @p377 :rule nary_cong :premises (@p102 @p253 @p376 @p375) :args (@t285)) % 2.00/2.26 (step @p378 :rule trans :premises (@p377 @p363)) % 2.00/2.26 (step @p379 :rule cong :premises (@p253 @p378) :args (@t286)) % 2.00/2.26 (step @p380 :rule trans :premises (@p379 @p362)) % 2.00/2.26 (step @p381 :rule evaluate :args (@t287)) % 2.00/2.26 (step @p382 :rule cong :premises (@p381) :args (@t288)) % 2.00/2.26 (step @p383 :rule trans :premises (@p382 @p295)) % 2.00/2.26 (step @p384 :rule evaluate :args (@t289)) % 2.00/2.26 (step @p385 :rule evaluate :args (@t290)) % 2.00/2.26 (step @p386 :rule cong :premises (@p385) :args (@t291)) % 2.00/2.26 (step @p387 :rule trans :premises (@p386 @p295)) % 2.00/2.26 (step @p388 :rule evaluate :args (@t292)) % 2.00/2.26 (step @p389 :rule nary_cong :premises (@p388 @p387 @p388 @p387 @p384 @p383 @p380) :args (@t293)) % 2.00/2.26 (step @p390 :rule trans :premises (@p389 @p361)) % 2.00/2.26 (step @p391 :rule refl :args (@t244)) % 2.00/2.26 (step @p392 :rule cong :premises (@p391 @p390) :args (@t294)) % 2.00/2.26 (step @p393 :rule trans :premises (@p392 @p360)) % 2.00/2.26 (step @p394 :rule refl :args (@t295)) % 2.00/2.26 (step @p395 :rule cong :premises (@p394 @p393) :args ((=> @t295 @t294))) % 2.00/2.26 (assume-push @p430 @t295) % 2.00/2.26 (step @p397 :rule evaluate :args (@t296)) % 2.00/2.26 (step @p398 :rule refl :args (1/7)) % 2.00/2.26 (step @p399 :rule nary_cong :premises (@p398 @p397) :args (@t297)) % 2.00/2.26 (step @p400 :rule refl :args (-1/7)) % 2.00/2.26 (step @p401 :rule nary_cong :premises (@p400 @p397) :args (@t298)) % 2.00/2.26 (step @p402 :rule refl :args (1/1)) % 2.00/2.26 (step @p403 :rule nary_cong :premises (@p402 @p401 @p399) :args (@t299)) % 2.00/2.26 (step @p404 :rule cong :premises (@p403) :args (@t300)) % 2.00/2.26 (step @p405 :rule refl :args (-7)) % 2.00/2.26 (step @p406 :rule nary_cong :premises (@p405 @p404) :args (@t301)) % 2.00/2.26 (step @p407 :rule refl :args (@t284)) % 2.00/2.26 (step @p408 :rule refl :args (2)) % 2.00/2.26 (step @p409 :rule refl :args (7)) % 2.00/2.26 (step @p410 :rule nary_cong :premises (@p409 @p408 @p407 @p406) :args (@t302)) % 2.00/2.26 (step @p411 :rule cong :premises (@p408 @p410) :args (@t303)) % 2.00/2.26 (step @p412 :rule refl :args (@t288)) % 2.00/2.26 (step @p413 :rule refl :args (@t289)) % 2.00/2.26 (step @p414 :rule refl :args (@t291)) % 2.00/2.26 (step @p415 :rule refl :args (@t292)) % 2.00/2.26 (step @p416 :rule nary_cong :premises (@p415 @p414 @p415 @p414 @p413 @p412 @p411) :args (@t304)) % 2.00/2.26 (step @p417 :rule refl :args (@t244)) % 2.00/2.26 (step @p418 :rule cong :premises (@p417 @p416) :args ((= @t244 @t304))) % 2.00/2.26 (step @p419 :rule instantiate :premises (@p169) :args ((@list 2 2 0))) % 2.00/2.26 (step @p420 :rule eq_resolve :premises (@p419 @p418)) % 2.00/2.26 (step-pop @p431 :rule scope :premises (@p420)) % 2.00/2.26 (step @p421 :rule process_scope :premises (@p431) :args (@t294)) % 2.00/2.26 (step @p423 :rule eq_resolve :premises (@p421 @p395)) % 2.00/2.26 (step @p424 :rule implies_elim :premises (@p423)) % 2.00/2.26 (step @p425 false :rule chain_m_resolution :premises (@p424 @p359 @p169) :args (false (@list true false) (@list @t244 @t295))) % 2.00/2.26 ) % 2.00/2.26 % SZS output end Proof % 2.00/2.26 % cvc5 exiting %------------------------------------------------------------------------------