%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : TIM007_1 : TPTP v9.3.0. Released v9.3.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n021.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 2.21s 2.51s % Output : Proof 2.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : TIM007_1 : TPTP v9.3.0. Released v9.3.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n021.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 01:14:35 EDT 2026 % 0.16/0.35 % CPUTime : % 0.33/0.52 %----Proving TF0_ARI % 2.21/2.51 --- Run --finite-model-find --decision=internal at 45... % 2.21/2.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 2.21/2.51 % SZS status Theorem % 2.21/2.51 % SZS output start Proof % 2.21/2.51 ( % 2.21/2.51 (declare-sort tptp.time 0) % 2.21/2.51 (declare-sort tptp.date 0) % 2.21/2.51 (declare-sort tptp.day_name 0) % 2.21/2.51 (declare-const tptp.is_leap_year (-> Int Bool)) % 2.21/2.51 (declare-const tptp.zeller_prep (-> Int Int Int Int Int Int Bool)) % 2.21/2.51 (declare-const tptp.nth_weekday_date (-> Int tptp.day_name Int Int tptp.date Bool)) % 2.21/2.51 (declare-const tptp.calc_nth_offset (-> Int Int Int Bool)) % 2.21/2.51 (declare-const tptp.sunday tptp.day_name) % 2.21/2.51 (declare-const tptp.is_days_in_year (-> Int Int Bool)) % 2.21/2.51 (declare-const tptp.is_days_in_month (-> Int Int Int Bool)) % 2.21/2.51 (declare-const tptp.map_name_to_int (-> tptp.day_name Int Bool)) % 2.21/2.51 (declare-const tptp.thursday tptp.day_name) % 2.21/2.51 (declare-const tptp.valid_day (-> Int Bool)) % 2.21/2.51 (declare-const tptp.monday tptp.day_name) % 2.21/2.51 (declare-const tptp.calc_date (-> Int Int Int tptp.date Bool)) % 2.21/2.51 (declare-const tptp.map_iso (-> Int tptp.day_name Bool)) % 2.21/2.51 (declare-const tptp.ymd (-> Int Int Int tptp.date)) % 2.21/2.51 (declare-const tptp.weekday (-> tptp.date tptp.day_name Bool)) % 2.21/2.51 (declare-const tptp.friday tptp.day_name) % 2.21/2.51 (declare-const tptp.normalize_time (-> Int Int Int Int Int Int Int Bool)) % 2.21/2.51 (declare-const tptp.wednesday tptp.day_name) % 2.21/2.51 (declare-const tptp.calc_datetime (-> Int Int Int Int Int Int Int Int tptp.time Bool)) % 2.21/2.51 (declare-const tptp.saturday tptp.day_name) % 2.21/2.51 (declare-const tptp.tuesday tptp.day_name) % 2.21/2.51 (declare-const tptp.dt (-> Int Int Int Int Int tptp.time)) % 2.21/2.51 (define @t1 () (@var "D" Int)) % 2.21/2.51 (define @t2 () (> @t1 0)) % 2.21/2.51 (define @t3 () (and @t2 (<= @t1 31))) % 2.21/2.51 (define @t4 () (tptp.valid_day @t1)) % 2.21/2.51 (define @t5 () (= @t4 @t3)) % 2.21/2.51 (define @t6 () (@list @t1)) % 2.21/2.51 (define @t7 () (forall @t6 @t5)) % 2.21/2.51 (define @t8 () (tptp.weekday (tptp.ymd 2024 2 1) tptp.thursday)) % 2.21/2.51 (define @t9 () (tptp.ymd 2025 1 1)) % 2.21/2.51 (define @t10 () (@var "DD" Int)) % 2.21/2.51 (define @t11 () (@var "EM" Int)) % 2.21/2.51 (define @t12 () (@var "EH" Int)) % 2.21/2.51 (define @t13 () (@var "AM" Int)) % 2.21/2.51 (define @t14 () (@var "AH" Int)) % 2.21/2.51 (define @t15 () (@var "SM" Int)) % 2.21/2.51 (define @t16 () (@var "SH" Int)) % 2.21/2.51 (define @t17 () (to_real 24)) % 2.21/2.51 (define @t18 () (@var "TotalH" Int)) % 2.21/2.51 (define @t19 () (to_real @t18)) % 2.21/2.51 (define @t20 () (/ @t19 @t17)) % 2.21/2.51 (define @t21 () (ite (>= @t17 0/1) (to_int @t20) (- (to_int (- @t20))))) % 2.21/2.51 (define @t22 () (@var "NormM" Int)) % 2.21/2.51 (define @t23 () (@var "CarryH" Int)) % 2.21/2.51 (define @t24 () (to_real 60)) % 2.21/2.51 (define @t25 () (@var "TotalM" Int)) % 2.21/2.51 (define @t26 () (to_real @t25)) % 2.21/2.51 (define @t27 () (/ @t26 @t24)) % 2.21/2.51 (define @t28 () (ite (>= @t24 0/1) (to_int @t27) (- (to_int (- @t27))))) % 2.21/2.51 (define @t29 () (@var "ResMin" Int)) % 2.21/2.51 (define @t30 () (@var "ResH" Int)) % 2.21/2.51 (define @t31 () (@var "ResD" Int)) % 2.21/2.51 (define @t32 () (@var "ResM" Int)) % 2.21/2.51 (define @t33 () (@var "ResY" Int)) % 2.21/2.51 (define @t34 () (@var "AD" Int)) % 2.21/2.51 (define @t35 () (@var "Min" Int)) % 2.21/2.51 (define @t36 () (@var "H" Int)) % 2.21/2.51 (define @t37 () (@var "M" Int)) % 2.21/2.51 (define @t38 () (@var "Y" Int)) % 2.21/2.51 (define @t39 () (@var "TimeDayDelta" Int)) % 2.21/2.51 (define @t40 () (@var "Res" tptp.date)) % 2.21/2.51 (define @t41 () (tptp.calc_date @t1 @t37 @t38 @t40)) % 2.21/2.51 (define @t42 () (+ @t38 400)) % 2.21/2.51 (define @t43 () (> @t1 200)) % 2.21/2.51 (define @t44 () (= @t37 1)) % 2.21/2.51 (define @t45 () (@list @t1 @t37 @t38 @t40)) % 2.21/2.51 (define @t46 () (+ @t1 36524)) % 2.21/2.51 (define @t47 () (- @t38 10)) % 2.21/2.51 (define @t48 () (tptp.calc_date (+ @t1 3652) 1 @t47 @t40)) % 2.21/2.51 (define @t49 () (to_real 4)) % 2.21/2.51 (define @t50 () (to_real @t47)) % 2.21/2.51 (define @t51 () (/ @t50 @t49)) % 2.21/2.51 (define @t52 () (>= @t49 0/1)) % 2.21/2.51 (define @t53 () (to_int (- @t50 (* (to_real (ite @t52 (to_int @t51) (- (to_int (- @t51))))) @t49)))) % 2.21/2.51 (define @t54 () (- 3652)) % 2.21/2.51 (define @t55 () (<= @t1 @t54)) % 2.21/2.51 (define @t56 () (=> (tptp.calc_date (- @t1 1461) 1 (+ @t38 4) @t40) @t41)) % 2.21/2.51 (define @t57 () (> @t1 1461)) % 2.21/2.51 (define @t58 () (@var "NextW_Name" tptp.day_name)) % 2.21/2.51 (define @t59 () (+ @t37 1)) % 2.21/2.51 (define @t60 () (@var "NextW_Int" Int)) % 2.21/2.51 (define @t61 () (to_real 7)) % 2.21/2.51 (define @t62 () (@var "DaysInM" Int)) % 2.21/2.51 (define @t63 () (@var "W_Int" Int)) % 2.21/2.51 (define @t64 () (to_real (+ @t63 @t62))) % 2.21/2.51 (define @t65 () (/ @t64 @t61)) % 2.21/2.51 (define @t66 () (>= @t61 0/1)) % 2.21/2.51 (define @t67 () (@var "W_Name" tptp.day_name)) % 2.21/2.51 (define @t68 () (tptp.ymd @t38 @t37 1)) % 2.21/2.51 (define @t69 () (- @t1 36524)) % 2.21/2.51 (define @t70 () (> @t1 36524)) % 2.21/2.51 (define @t71 () (to_real @t38)) % 2.21/2.51 (define @t72 () (/ @t71 @t49)) % 2.21/2.51 (define @t73 () (to_int (- @t71 (* (to_real (ite @t52 (to_int @t72) (- (to_int (- @t72))))) @t49)))) % 2.21/2.51 (define @t74 () (= @t73 0)) % 2.21/2.51 (define @t75 () (@var "Limit" Int)) % 2.21/2.51 (define @t76 () (- @t1 @t75)) % 2.21/2.51 (define @t77 () (=> (tptp.calc_date @t76 1 (+ @t38 1) @t40) @t41)) % 2.21/2.51 (define @t78 () (> @t1 @t75)) % 2.21/2.51 (define @t79 () (@list @t1 @t37 @t38 @t75 @t40)) % 2.21/2.51 (define @t80 () (@list @t38)) % 2.21/2.51 (define @t81 () (to_real 400)) % 2.21/2.51 (define @t82 () (/ @t71 @t81)) % 2.21/2.51 (define @t83 () (= (to_int (- @t71 (* (to_real (ite (>= @t81 0/1) (to_int @t82) (- (to_int (- @t82))))) @t81))) 0)) % 2.21/2.51 (define @t84 () (to_real 100)) % 2.21/2.51 (define @t85 () (/ @t71 @t84)) % 2.21/2.51 (define @t86 () (>= @t84 0/1)) % 2.21/2.51 (define @t87 () (ite @t86 (to_int @t85) (- (to_int (- @t85))))) % 2.21/2.51 (define @t88 () (to_int (- @t71 (* (to_real @t87) @t84)))) % 2.21/2.51 (define @t89 () (= @t88 0)) % 2.21/2.51 (define @t90 () (tptp.ymd @t38 @t37 @t1)) % 2.21/2.51 (define @t91 () (tptp.is_days_in_month @t37 @t38 @t75)) % 2.21/2.51 (define @t92 () (= @t37 12)) % 2.21/2.51 (define @t93 () (- @t37 1)) % 2.21/2.51 (define @t94 () (+ @t1 @t75)) % 2.21/2.51 (define @t95 () (not @t44)) % 2.21/2.51 (define @t96 () (<= @t1 0)) % 2.21/2.51 (define @t97 () (- @t38 1)) % 2.21/2.51 (define @t98 () (tptp.map_name_to_int tptp.thursday 5)) % 2.21/2.51 (define @t99 () (tptp.map_name_to_int tptp.friday 6)) % 2.21/2.51 (define @t100 () (@var "S" Int)) % 2.21/2.51 (define @t101 () (@var "T" Int)) % 2.21/2.51 (define @t102 () (- @t101 @t100)) % 2.21/2.51 (define @t103 () (+ @t102 7)) % 2.21/2.51 (define @t104 () (to_real @t103)) % 2.21/2.51 (define @t105 () (/ @t104 @t61)) % 2.21/2.51 (define @t106 () (- @t105)) % 2.21/2.51 (define @t107 () (to_int @t106)) % 2.21/2.51 (define @t108 () (- @t107)) % 2.21/2.51 (define @t109 () (to_int @t105)) % 2.21/2.51 (define @t110 () (ite @t66 @t109 @t108)) % 2.21/2.51 (define @t111 () (to_real @t110)) % 2.21/2.51 (define @t112 () (* @t111 @t61)) % 2.21/2.51 (define @t113 () (- @t104 @t112)) % 2.21/2.51 (define @t114 () (to_int @t113)) % 2.21/2.51 (define @t115 () (@var "O" Int)) % 2.21/2.51 (define @t116 () (= @t115 @t114)) % 2.21/2.51 (define @t117 () (and (<= 0 @t100) (<= @t100 6) (<= 0 @t101) (<= @t101 6) (<= 0 @t115) (<= @t115 6) @t116)) % 2.21/2.51 (define @t118 () (tptp.calc_nth_offset @t100 @t101 @t115)) % 2.21/2.51 (define @t119 () (= @t118 @t117)) % 2.21/2.51 (define @t120 () (@list @t100 @t101 @t115)) % 2.21/2.51 (define @t121 () (forall @t120 @t119)) % 2.21/2.51 (define @t122 () (@var "FinalDay" Int)) % 2.21/2.51 (define @t123 () (@var "DName" tptp.day_name)) % 2.21/2.51 (define @t124 () (@var "N" Int)) % 2.21/2.51 (define @t125 () (tptp.nth_weekday_date @t124 @t123 @t37 @t38 (tptp.ymd @t38 @t37 @t122))) % 2.21/2.51 (define @t126 () (- @t124 1)) % 2.21/2.51 (define @t127 () (* @t126 7)) % 2.21/2.51 (define @t128 () (@var "Offset" Int)) % 2.21/2.51 (define @t129 () (+ 1 (+ @t128 @t127))) % 2.21/2.51 (define @t130 () (= @t122 @t129)) % 2.21/2.51 (define @t131 () (@var "TargetDayInt" Int)) % 2.21/2.51 (define @t132 () (@var "StartDayInt" Int)) % 2.21/2.51 (define @t133 () (tptp.calc_nth_offset @t132 @t131 @t128)) % 2.21/2.51 (define @t134 () (tptp.map_name_to_int @t123 @t131)) % 2.21/2.51 (define @t135 () (@var "StartDayName" tptp.day_name)) % 2.21/2.51 (define @t136 () (tptp.map_name_to_int @t135 @t132)) % 2.21/2.51 (define @t137 () (tptp.weekday @t68 @t135)) % 2.21/2.51 (define @t138 () (and @t137 @t136 @t134 @t133 @t130)) % 2.21/2.51 (define @t139 () (=> @t138 @t125)) % 2.21/2.51 (define @t140 () (@list @t124 @t123 @t37 @t38 @t135 @t132 @t131 @t128 @t122)) % 2.21/2.51 (define @t141 () (forall @t140 @t139)) % 2.21/2.51 (define @t142 () (@var "N2" tptp.day_name)) % 2.21/2.51 (define @t143 () (@var "N1" tptp.day_name)) % 2.21/2.51 (define @t144 () (@var "Dt" tptp.date)) % 2.21/2.51 (define @t145 () (@var "I2" Int)) % 2.21/2.51 (define @t146 () (@var "I1" Int)) % 2.21/2.51 (define @t147 () (@var "Nm" tptp.day_name)) % 2.21/2.51 (define @t148 () (to_real @t97)) % 2.21/2.51 (define @t149 () (/ @t148 @t84)) % 2.21/2.51 (define @t150 () (ite @t86 (to_int @t149) (- (to_int (- @t149))))) % 2.21/2.51 (define @t151 () (= @t37 2)) % 2.21/2.51 (define @t152 () (@list @t37 @t38)) % 2.21/2.51 (define @t153 () (not @t151)) % 2.21/2.51 (define @t154 () (@var "Name" tptp.day_name)) % 2.21/2.51 (define @t155 () (@var "Term2" Int)) % 2.21/2.51 (define @t156 () (to_real @t155)) % 2.21/2.51 (define @t157 () (/ @t156 @t61)) % 2.21/2.51 (define @t158 () (to_real (+ (to_int (- @t156 (* (to_real (ite @t66 (to_int @t157) (- (to_int (- @t157))))) @t61))) 7))) % 2.21/2.51 (define @t159 () (/ @t158 @t61)) % 2.21/2.51 (define @t160 () (@var "J" Int)) % 2.21/2.51 (define @t161 () (/ (to_real @t160) @t49)) % 2.21/2.51 (define @t162 () (@var "K" Int)) % 2.21/2.51 (define @t163 () (/ (to_real @t162) @t49)) % 2.21/2.51 (define @t164 () (@var "Term1" Int)) % 2.21/2.51 (define @t165 () (to_real 5)) % 2.21/2.51 (define @t166 () (@var "ZM" Int)) % 2.21/2.51 (define @t167 () (/ (to_real (* 13 (+ @t166 1))) @t165)) % 2.21/2.51 (define @t168 () (@var "ZY" Int)) % 2.21/2.51 (define @t169 () (= @t38 2024)) % 2.21/2.51 (define @t170 () (not @t169)) % 2.21/2.51 (define @t171 () (tptp.calc_date @t1 1 @t38 @t40)) % 2.21/2.51 (define @t172 () (tptp.is_leap_year @t97)) % 2.21/2.51 (define @t173 () (@list @t1 @t38 @t40)) % 2.21/2.51 (define @t174 () (@var "W" tptp.day_name)) % 2.21/2.51 (define @t175 () (@var "Res2" tptp.date)) % 2.21/2.51 (define @t176 () (@var "Res1" tptp.date)) % 2.21/2.51 (define @t177 () (@var "D4" Int)) % 2.21/2.51 (define @t178 () (tptp.ymd @t38 @t37 @t177)) % 2.21/2.51 (define @t179 () (@var "D5" Int)) % 2.21/2.51 (define @t180 () (= @t1 23)) % 2.21/2.51 (define @t181 () (tptp.nth_weekday_date 4 tptp.friday 2 2024 @t90)) % 2.21/2.51 (define @t182 () (and @t181 @t169 @t151 @t180 @t4)) % 2.21/2.51 (define @t183 () (@list @t38 @t37 @t1)) % 2.21/2.51 (define @t184 () (exists @t183 @t182)) % 2.21/2.51 (define @t185 () (not @t184)) % 2.21/2.51 (define @t186 () (to_real @t101)) % 2.21/2.51 (define @t187 () (to_real @t100)) % 2.21/2.51 (define @t188 () (+ 1/1 (* -1/7 @t187) (* 1/7 @t186))) % 2.21/2.51 (define @t189 () (to_int @t188)) % 2.21/2.51 (define @t190 () (* -7 @t189)) % 2.21/2.51 (define @t191 () (+ 7 @t101 (* -1 @t115) @t190)) % 2.21/2.51 (define @t192 () (* -1 @t100)) % 2.21/2.51 (define @t193 () (+ 7 @t192 @t101 @t190)) % 2.21/2.51 (define @t194 () (= @t100 @t191)) % 2.21/2.51 (define @t195 () (to_real @t190)) % 2.21/2.51 (define @t196 () (+ 7 @t192 @t101)) % 2.21/2.51 (define @t197 () (to_real @t196)) % 2.21/2.51 (define @t198 () (to_real (* 7 @t189))) % 2.21/2.51 (define @t199 () (+ -1/1 (* 1/7 @t187) (* -1/7 @t186))) % 2.21/2.51 (define @t200 () (+ @t192 @t101)) % 2.21/2.51 (define @t201 () (+ @t101 @t192)) % 2.21/2.51 (define @t202 () (* @t104 1/7)) % 2.21/2.51 (define @t203 () (* -1/1 @t105)) % 2.21/2.51 (define @t204 () (* -1 @t107)) % 2.21/2.51 (define @t205 () (* -1/1 @t112)) % 2.21/2.51 (define @t206 () (+ @t104 @t205)) % 2.21/2.51 (define @t207 () (+ 6 1)) % 2.21/2.51 (define @t208 () (>= @t115 @t207)) % 2.21/2.51 (define @t209 () (>= @t101 @t207)) % 2.21/2.51 (define @t210 () (>= @t100 @t207)) % 2.21/2.51 (define @t211 () (+ 6 (* -7 @t124) @t122)) % 2.21/2.51 (define @t212 () (not (tptp.calc_nth_offset @t132 @t131 @t211))) % 2.21/2.51 (define @t213 () (not @t134)) % 2.21/2.51 (define @t214 () (not @t136)) % 2.21/2.51 (define @t215 () (not @t137)) % 2.21/2.51 (define @t216 () (or @t215 @t214 @t213 @t212 @t125)) % 2.21/2.51 (define @t217 () (not (= @t211 @t211))) % 2.21/2.51 (define @t218 () (or @t215 @t214 @t213 @t212 @t217 @t125)) % 2.21/2.51 (define @t219 () (@list @t124 @t123 @t37 @t38 @t135 @t132 @t131 @t122)) % 2.21/2.51 (define @t220 () (= @t128 @t211)) % 2.21/2.51 (define @t221 () (not @t220)) % 2.21/2.51 (define @t222 () (not @t133)) % 2.21/2.51 (define @t223 () (or @t221 @t215 @t214 @t213 @t222 @t221 @t125)) % 2.21/2.51 (define @t224 () (@list @t128)) % 2.21/2.51 (define @t225 () (or @t215 @t214 @t213 @t222 @t221 @t125)) % 2.21/2.51 (define @t226 () (forall @t224 @t225)) % 2.21/2.51 (define @t227 () (forall @t219 @t226)) % 2.21/2.51 (define @t228 () (forall (@list @t124 @t123 @t37 @t38 @t135 @t132 @t131 @t122 @t128) @t225)) % 2.21/2.51 (define @t229 () (or @t215 @t214 @t213 @t222 @t221)) % 2.21/2.51 (define @t230 () (and @t137 @t136 @t134 @t133 @t220)) % 2.21/2.51 (define @t231 () (* 7 @t124)) % 2.21/2.51 (define @t232 () (+ -6 @t231 @t128)) % 2.21/2.51 (define @t233 () (+ -7 @t231)) % 2.21/2.51 (define @t234 () (+ -1 @t124)) % 2.21/2.51 (define @t235 () (* -1 1)) % 2.21/2.51 (define @t236 () (+ @t124 @t235)) % 2.21/2.51 (define @t237 () (+ @t127 @t128 1)) % 2.21/2.51 (define @t238 () (tptp.nth_weekday_date 4 tptp.friday 2 2024 (tptp.ymd 2024 2 23))) % 2.21/2.51 (define @t239 () (* -7 4)) % 2.21/2.51 (define @t240 () (+ 6 @t239 23)) % 2.21/2.51 (define @t241 () (tptp.calc_nth_offset 5 6 @t240)) % 2.21/2.51 (define @t242 () (not @t241)) % 2.21/2.51 (define @t243 () (not @t99)) % 2.21/2.51 (define @t244 () (not @t98)) % 2.21/2.51 (define @t245 () (not @t8)) % 2.21/2.51 (define @t246 () (or @t245 @t244 @t243 @t242 @t238)) % 2.21/2.51 (define @t247 () (forall @t219 @t216)) % 2.21/2.51 (define @t248 () (tptp.calc_nth_offset 5 6 1)) % 2.21/2.51 (define @t249 () (not @t248)) % 2.21/2.51 (define @t250 () (or @t245 @t244 @t243 @t249 @t238)) % 2.21/2.51 (define @t251 () (@list false)) % 2.21/2.51 (define @t252 () (+ 31 1)) % 2.21/2.51 (define @t253 () (>= @t1 @t252)) % 2.21/2.51 (define @t254 () (>= @t1 1)) % 2.21/2.51 (define @t255 () (+ 0 1)) % 2.21/2.51 (define @t256 () (>= @t1 @t255)) % 2.21/2.51 (define @t257 () (tptp.valid_day 23)) % 2.21/2.51 (define @t258 () (>= 23 32)) % 2.21/2.51 (define @t259 () (not @t258)) % 2.21/2.51 (define @t260 () (>= 23 1)) % 2.21/2.51 (define @t261 () (and @t260 @t259)) % 2.21/2.51 (define @t262 () (= @t257 @t261)) % 2.21/2.51 (define @t263 () (forall @t6 (= @t4 (and @t254 (not (>= @t1 32)))))) % 2.21/2.51 (define @t264 () (not @t257)) % 2.21/2.51 (define @t265 () (not @t238)) % 2.21/2.51 (define @t266 () (or @t265 @t264)) % 2.21/2.51 (define @t267 () (= 23 23)) % 2.21/2.51 (define @t268 () (not @t267)) % 2.21/2.51 (define @t269 () (or @t265 @t268 @t264)) % 2.21/2.51 (define @t270 () (not @t4)) % 2.21/2.51 (define @t271 () (not @t180)) % 2.21/2.51 (define @t272 () (not (tptp.nth_weekday_date 4 tptp.friday 2 2024 (tptp.ymd 2024 2 @t1)))) % 2.21/2.51 (define @t273 () (or @t271 @t272 @t271 @t270)) % 2.21/2.51 (define @t274 () (or @t272 @t271 @t270)) % 2.21/2.51 (define @t275 () (= 2 2)) % 2.21/2.51 (define @t276 () (not @t275)) % 2.21/2.51 (define @t277 () (or @t272 @t276 @t271 @t270)) % 2.21/2.51 (define @t278 () (not (tptp.nth_weekday_date 4 tptp.friday 2 2024 (tptp.ymd 2024 @t37 @t1)))) % 2.21/2.51 (define @t279 () (or @t153 @t278 @t153 @t271 @t270)) % 2.21/2.51 (define @t280 () (@list @t37)) % 2.21/2.51 (define @t281 () (or @t278 @t153 @t271 @t270)) % 2.21/2.51 (define @t282 () (forall @t280 @t281)) % 2.21/2.51 (define @t283 () (forall @t6 @t282)) % 2.21/2.51 (define @t284 () (forall (@list @t1 @t37) @t281)) % 2.21/2.51 (define @t285 () (@list @t37 @t1)) % 2.21/2.51 (define @t286 () (= 2024 2024)) % 2.21/2.51 (define @t287 () (not @t286)) % 2.21/2.51 (define @t288 () (or @t278 @t287 @t153 @t271 @t270)) % 2.21/2.51 (define @t289 () (not @t181)) % 2.21/2.51 (define @t290 () (or @t170 @t289 @t170 @t153 @t271 @t270)) % 2.21/2.51 (define @t291 () (or @t289 @t170 @t153 @t271 @t270)) % 2.21/2.51 (define @t292 () (forall @t80 @t291)) % 2.21/2.51 (define @t293 () (forall @t285 @t292)) % 2.21/2.51 (define @t294 () (forall (@list @t37 @t1 @t38) @t291)) % 2.21/2.51 (define @t295 () (forall @t183 (not @t182))) % 2.21/2.51 (define @t296 () (not @t295)) % 2.21/2.51 (define @t297 () (* 1/7 6/1)) % 2.21/2.51 (define @t298 () (* -1/7 5/1)) % 2.21/2.51 (define @t299 () (+ 1/1 @t298 @t297)) % 2.21/2.51 (define @t300 () (to_int @t299)) % 2.21/2.51 (define @t301 () (* -7 @t300)) % 2.21/2.51 (define @t302 () (+ 7 6 @t235 @t301)) % 2.21/2.51 (define @t303 () (= 5 @t302)) % 2.21/2.51 (define @t304 () (>= 1 7)) % 2.21/2.51 (define @t305 () (not @t304)) % 2.21/2.51 (define @t306 () (>= 1 0)) % 2.21/2.51 (define @t307 () (>= 6 7)) % 2.21/2.51 (define @t308 () (not @t307)) % 2.21/2.51 (define @t309 () (>= 6 0)) % 2.21/2.51 (define @t310 () (>= 5 7)) % 2.21/2.51 (define @t311 () (not @t310)) % 2.21/2.51 (define @t312 () (>= 5 0)) % 2.21/2.51 (define @t313 () (and @t312 @t311 @t309 @t308 @t306 @t305 @t303)) % 2.21/2.51 (define @t314 () (= @t248 @t313)) % 2.21/2.51 (define @t315 () (forall @t120 (= @t118 (and (>= @t100 0) (not (>= @t100 7)) (>= @t101 0) (not (>= @t101 7)) (>= @t115 0) (not (>= @t115 7)) @t194)))) % 2.21/2.51 (define @t316 () (to_real 6)) % 2.21/2.51 (define @t317 () (* 1/7 @t316)) % 2.21/2.51 (define @t318 () (* -1/7 @t165)) % 2.21/2.51 (define @t319 () (+ 1/1 @t318 @t317)) % 2.21/2.51 (define @t320 () (to_int @t319)) % 2.21/2.51 (define @t321 () (* -7 @t320)) % 2.21/2.51 (define @t322 () (+ 7 6 @t235 @t321)) % 2.21/2.51 (define @t323 () (= 5 @t322)) % 2.21/2.51 (define @t324 () (and @t312 @t311 @t309 @t308 @t306 @t305 @t323)) % 2.21/2.51 (assume @p1 @t7) % 2.21/2.51 (assume @p2 (tptp.weekday (tptp.ymd 2024 1 1) tptp.monday)) % 2.21/2.51 (assume @p3 @t8) % 2.21/2.51 (assume @p4 (tptp.weekday (tptp.ymd 2024 3 1) tptp.friday)) % 2.21/2.51 (assume @p5 (tptp.weekday (tptp.ymd 2024 4 1) tptp.monday)) % 2.21/2.51 (assume @p6 (tptp.weekday (tptp.ymd 2024 5 1) tptp.wednesday)) % 2.21/2.51 (assume @p7 (tptp.weekday @t9 tptp.wednesday)) % 2.21/2.51 (assume @p8 (tptp.weekday (tptp.ymd 2025 2 1) tptp.saturday)) % 2.21/2.51 (assume @p9 (tptp.weekday (tptp.ymd 2025 3 1) tptp.saturday)) % 2.21/2.51 (assume @p10 (tptp.weekday (tptp.ymd 2025 11 1) tptp.saturday)) % 2.21/2.51 (assume @p11 (tptp.weekday (tptp.ymd 1776 1 1) tptp.monday)) % 2.21/2.51 (assume @p12 (tptp.weekday (tptp.ymd 1969 1 1) tptp.wednesday)) % 2.21/2.51 (assume @p13 (tptp.weekday (tptp.ymd 1985 1 1) tptp.tuesday)) % 2.21/2.51 (assume @p14 (tptp.weekday (tptp.ymd 1600 1 1) tptp.saturday)) % 2.21/2.51 (assume @p15 (tptp.calc_date 0 3 2024 (tptp.ymd 2024 2 29))) % 2.21/2.51 (assume @p16 (tptp.calc_date 0 3 2025 (tptp.ymd 2025 2 28))) % 2.21/2.51 (assume @p17 (tptp.calc_date 0 1 2025 (tptp.ymd 2024 12 31))) % 2.21/2.51 (assume @p18 (tptp.calc_date 0 1 2024 (tptp.ymd 2023 12 31))) % 2.21/2.51 (assume @p19 (tptp.calc_date 32 12 2024 @t9)) % 2.21/2.51 (assume @p20 (forall (@list @t16 @t15 @t14 @t13 @t12 @t11 @t10 @t25 @t22 @t23 @t18) (=> (and (= @t25 (+ @t15 @t13)) (= @t22 (to_int (- @t26 (* (to_real @t28) @t24)))) (= @t23 @t28) (= @t18 (+ @t16 (+ @t14 @t23))) (= @t12 (to_int (- @t19 (* (to_real @t21) @t17)))) (= @t11 @t22) (= @t10 @t21)) (tptp.normalize_time @t16 @t15 @t14 @t13 @t12 @t11 @t10)))) % 2.21/2.51 (assume @p21 (forall (@list @t38 @t37 @t1 @t36 @t35 @t34 @t14 @t13 @t33 @t32 @t31 @t30 @t29 @t39) (=> (and (tptp.normalize_time @t36 @t35 @t14 @t13 @t30 @t29 @t39) (tptp.calc_date (+ @t1 (+ @t34 @t39)) @t37 @t38 (tptp.ymd @t33 @t32 @t31))) (tptp.calc_datetime @t38 @t37 @t1 @t36 @t35 @t34 @t14 @t13 (tptp.dt @t33 @t32 @t31 @t30 @t29))))) % 2.21/2.51 (assume @p22 (forall @t45 (=> (and @t44 (> @t1 146097) @t43) (=> (tptp.calc_date (- @t1 146097) 1 @t42 @t40) @t41)))) % 2.21/2.51 (assume @p23 (forall @t45 (=> (and @t44 (<= @t1 (- 146097))) (=> (tptp.calc_date (+ @t1 146097) 1 (- @t38 400) @t40) @t41)))) % 2.21/2.51 (assume @p24 (forall @t45 (=> (and @t44 (<= @t1 (- 36524))) (=> (tptp.calc_date @t46 1 (- @t38 100) @t40) @t41)))) % 2.21/2.51 (assume @p25 (forall @t45 (=> (and @t44 @t55 (or (= @t53 1) (= @t53 2))) (=> @t48 @t41)))) % 2.21/2.51 (assume @p26 (forall @t45 (=> (and @t44 (<= @t1 (- 3653)) (or (= @t53 0) (= @t53 3))) (=> (tptp.calc_date (+ @t1 3653) 1 @t47 @t40) @t41)))) % 2.21/2.51 (assume @p27 (forall @t45 (=> (and @t44 @t57 @t43 (> @t38 2000) (< @t38 2095)) @t56))) % 2.21/2.51 (assume @p28 (forall (@list @t38 @t37 @t67 @t63 @t62 @t60 @t58) (=> (and (tptp.weekday @t68 @t67) (tptp.is_days_in_month @t37 @t38 @t62) (tptp.map_name_to_int @t67 @t63) (= @t60 (to_int (- @t64 (* (to_real (ite @t66 (to_int @t65) (- (to_int (- @t65))))) @t61)))) (tptp.map_iso @t60 @t58)) (tptp.weekday (tptp.ymd @t38 @t59 1) @t58)))) % 2.21/2.51 (assume @p29 (forall @t45 (=> (and @t44 @t70 @t43) (=> (tptp.calc_date @t69 1 (+ @t38 100) @t40) @t41)))) % 2.21/2.51 (assume @p30 (forall @t6 (=> (> @t1 100000) @t70))) % 2.21/2.51 (assume @p31 (forall @t6 (=> (> @t1 400000) (> (- @t1 365240) 3652)))) % 2.21/2.51 (assume @p32 (forall @t6 (=> (> @t1 40000) (> @t69 1461)))) % 2.21/2.51 (assume @p33 (forall @t6 (=> (< @t1 (- 41000)) (< @t46 @t54)))) % 2.21/2.51 (assume @p34 (forall @t45 (=> (and @t44 (> @t1 3653) @t43 (or @t74 (= @t73 3))) (=> (tptp.calc_date (- @t1 3653) 1 (+ @t38 10) @t40) @t41)))) % 2.21/2.51 (assume @p35 (forall @t45 (=> (and @t44 @t57 @t43 @t74) @t56))) % 2.21/2.51 (assume @p36 (forall @t79 (=> (and @t44 (tptp.is_days_in_year @t38 @t75) @t78 @t43) @t77))) % 2.21/2.51 (assume @p37 (forall @t80 (tptp.is_days_in_month 1 @t38 31))) % 2.21/2.51 (assume @p38 (forall @t80 (and (=> (and @t74 (or (not @t89) @t83)) (tptp.is_days_in_month 2 @t38 29)) (=> (or (not @t74) (and @t89 (not @t83))) (tptp.is_days_in_month 2 @t38 28))))) % 2.21/2.51 (assume @p39 (forall @t80 (tptp.is_days_in_month 3 @t38 31))) % 2.21/2.51 (assume @p40 (forall @t80 (tptp.is_days_in_month 4 @t38 30))) % 2.21/2.51 (assume @p41 (forall @t80 (tptp.is_days_in_month 5 @t38 31))) % 2.21/2.51 (assume @p42 (forall @t80 (tptp.is_days_in_month 6 @t38 30))) % 2.21/2.51 (assume @p43 (forall @t80 (tptp.is_days_in_month 7 @t38 31))) % 2.21/2.51 (assume @p44 (forall @t80 (tptp.is_days_in_month 8 @t38 31))) % 2.21/2.51 (assume @p45 (forall @t80 (tptp.is_days_in_month 9 @t38 30))) % 2.21/2.51 (assume @p46 (forall @t80 (tptp.is_days_in_month 10 @t38 31))) % 2.21/2.51 (assume @p47 (forall @t80 (tptp.is_days_in_month 11 @t38 30))) % 2.21/2.51 (assume @p48 (forall @t80 (tptp.is_days_in_month 12 @t38 31))) % 2.21/2.51 (assume @p49 (forall (@list @t1 @t37 @t38 @t75) (=> (and @t91 @t2 (<= @t1 @t75)) (tptp.calc_date @t1 @t37 @t38 @t90)))) % 2.21/2.51 (assume @p50 (forall @t79 (=> (and @t91 @t78 (not @t92)) (=> (tptp.calc_date @t76 @t59 @t38 @t40) @t41)))) % 2.21/2.51 (assume @p51 (forall @t79 (=> (and @t91 @t78 @t92) @t77))) % 2.21/2.51 (assume @p52 (forall @t79 (=> (and @t96 @t95) (=> (and (tptp.is_days_in_month @t93 @t38 @t75) (tptp.calc_date @t94 @t93 @t38 @t40)) @t41)))) % 2.21/2.51 (assume @p53 (forall @t79 (=> (and @t96 @t44) (=> (and (tptp.is_days_in_month 12 @t97 @t75) (tptp.calc_date @t94 12 @t97 @t40)) @t41)))) % 2.21/2.51 (assume @p54 (tptp.map_name_to_int tptp.saturday 0)) % 2.21/2.51 (assume @p55 (tptp.map_name_to_int tptp.sunday 1)) % 2.21/2.51 (assume @p56 (tptp.map_name_to_int tptp.monday 2)) % 2.21/2.51 (assume @p57 (tptp.map_name_to_int tptp.tuesday 3)) % 2.21/2.51 (assume @p58 (tptp.map_name_to_int tptp.wednesday 4)) % 2.21/2.51 (assume @p59 @t98) % 2.21/2.51 (assume @p60 @t99) % 2.21/2.51 (assume @p61 @t121) % 2.21/2.51 (assume @p62 @t141) % 2.21/2.51 (assume @p63 (forall (@list @t144 @t143 @t142) (=> (and (tptp.weekday @t144 @t143) (tptp.weekday @t144 @t142)) (= @t143 @t142)))) % 2.21/2.51 (assume @p64 (forall (@list @t147 @t146 @t145) (=> (and (tptp.map_name_to_int @t147 @t146) (tptp.map_name_to_int @t147 @t145)) (= @t146 @t145)))) % 2.21/2.51 (assume @p65 (forall @t152 (=> (or @t44 @t151) (tptp.zeller_prep @t37 @t38 (+ @t37 12) @t97 (to_int (- @t148 (* (to_real @t150) @t84))) @t150)))) % 2.21/2.51 (assume @p66 (forall @t152 (=> (and @t95 @t153) (tptp.zeller_prep @t37 @t38 @t37 @t38 @t88 @t87)))) % 2.21/2.51 (assume @p67 (forall (@list @t38 @t37 @t1 @t154 @t166 @t168 @t162 @t160 @t164 @t155 @t36) (=> (and (> @t38 1582) @t170 (not (= @t38 2025)) (not (= @t38 1776)) (not (= @t38 1969)) (not (= @t38 1985)) (tptp.zeller_prep @t37 @t38 @t166 @t168 @t162 @t160) (= @t164 (ite (>= @t165 0/1) (to_int @t167) (- (to_int (- @t167))))) (= @t155 (+ @t1 (+ @t164 (+ @t162 (+ (ite @t52 (to_int @t163) (- (to_int (- @t163)))) (+ (ite @t52 (to_int @t161) (- (to_int (- @t161)))) (* 5 @t160))))))) (= @t36 (to_int (- @t158 (* (to_real (ite @t66 (to_int @t159) (- (to_int (- @t159))))) @t61)))) (tptp.map_iso @t36 @t154)) (tptp.weekday @t90 @t154)))) % 2.21/2.51 (assume @p68 (tptp.map_iso 0 tptp.saturday)) % 2.21/2.51 (assume @p69 (tptp.map_iso 1 tptp.sunday)) % 2.21/2.51 (assume @p70 (tptp.map_iso 2 tptp.monday)) % 2.21/2.51 (assume @p71 (tptp.map_iso 3 tptp.tuesday)) % 2.21/2.51 (assume @p72 (tptp.map_iso 4 tptp.wednesday)) % 2.21/2.51 (assume @p73 (tptp.map_iso 5 tptp.thursday)) % 2.21/2.51 (assume @p74 (tptp.map_iso 6 tptp.friday)) % 2.21/2.51 (assume @p75 (tptp.is_days_in_year 2024 366)) % 2.21/2.51 (assume @p76 (tptp.is_days_in_year 2025 365)) % 2.21/2.51 (assume @p77 (tptp.is_days_in_year 2026 365)) % 2.21/2.51 (assume @p78 (tptp.is_days_in_year 2027 365)) % 2.21/2.51 (assume @p79 (tptp.is_days_in_year 2028 366)) % 2.21/2.51 (assume @p80 (tptp.calc_date 1461 1 2025 (tptp.ymd 2028 12 31))) % 2.21/2.51 (assume @p81 (tptp.is_days_in_month 2 1776 29)) % 2.21/2.51 (assume @p82 (tptp.is_days_in_month 2 2024 29)) % 2.21/2.51 (assume @p83 (forall @t173 (=> (and (<= @t1 (- 365)) (not @t172)) (=> (tptp.calc_date (+ @t1 365) 1 @t97 @t40) @t171)))) % 2.21/2.51 (assume @p84 (forall @t173 (=> (and (<= @t1 (- 366)) @t172) (=> (tptp.calc_date (+ @t1 366) 1 @t97 @t40) @t171)))) % 2.21/2.51 (assume @p85 (forall @t173 (=> @t55 (=> @t48 @t171)))) % 2.21/2.51 (assume @p86 (forall (@list @t38 @t37 @t1 @t174 @t176 @t175) (=> (and (tptp.calc_date @t1 @t37 @t38 @t176) (tptp.calc_date @t1 @t37 @t42 @t175)) (= (tptp.weekday @t176 @t174) (tptp.weekday @t175 @t174))))) % 2.21/2.51 (assume @p87 (forall (@list @t123 @t37 @t38 @t177 @t179) (=> (and (tptp.nth_weekday_date 4 @t123 @t37 @t38 @t178) (tptp.nth_weekday_date 5 @t123 @t37 @t38 (tptp.ymd @t38 @t37 @t179)) (tptp.is_days_in_month @t37 @t38 @t177) (not (tptp.is_days_in_month @t37 @t38 @t179))) (tptp.nth_weekday_date 5 @t123 @t37 @t38 @t178)))) % 2.21/2.51 (assume @p88 @t185) % 2.21/2.51 (assume @p89 true) % 2.21/2.51 (step @p90 :rule arith_poly_norm :args ((= (* -7 (- @t115 @t193)) (* -7 (- @t100 @t191))))) % 2.21/2.51 (step @p91 :rule arith_poly_norm_rel :premises (@p90) :args ((= (= @t115 @t193) @t194))) % 2.21/2.51 (step @p92 :rule arith-to-int-elim-to-real :args (@t193)) % 2.21/2.51 (step @p93 :rule arith_poly_norm :args ((= (+ @t197 @t195) (to_real @t193)))) % 2.21/2.51 (step @p94 :rule arith_poly_norm :args ((= (* -1/1 @t198) @t195))) % 2.21/2.51 (step @p95 :rule arith_poly_norm :args ((= (* (to_real @t189) 7/1) @t198))) % 2.21/2.51 (step @p96 :rule evaluate :args (@t61)) % 2.21/2.51 (step @p97 :rule ite-true-cond :args (@t189 (* -1 (to_int @t199)))) % 2.21/2.51 (step @p98 :rule arith_poly_norm :args ((= (* -1/1 @t188) @t199))) % 2.21/2.51 (step @p99 :rule arith_poly_norm :args ((= (* @t197 1/7) @t188))) % 2.21/2.51 (step @p100 :rule refl :args (1/7)) % 2.21/2.51 (step @p101 :rule arith_poly_norm :args ((= (+ @t200 7) @t196))) % 2.21/2.51 (step @p102 :rule refl :args (7)) % 2.21/2.51 (step @p103 :rule arith_poly_norm :args ((= @t201 @t200))) % 2.21/2.51 (step @p104 :rule arith_poly_norm :args ((= @t102 @t201))) % 2.21/2.51 (step @p105 :rule trans :premises (@p104 @p103)) % 2.21/2.51 (step @p106 :rule nary_cong :premises (@p105 @p102) :args (@t103)) % 2.21/2.51 (step @p107 :rule trans :premises (@p106 @p101)) % 2.21/2.51 (step @p108 :rule cong :premises (@p107) :args (@t104)) % 2.21/2.51 (step @p109 :rule nary_cong :premises (@p108 @p100) :args (@t202)) % 2.21/2.51 (step @p110 :rule trans :premises (@p109 @p99)) % 2.21/2.51 ; WARNING: add trust step for TRUST_THEORY_REWRITE % 2.21/2.51 ; trust TRUST_THEORY_REWRITE % 2.21/2.51 (step @p111 :rule trust :premises 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trans :premises (@p349 @p348 @p346)) % 2.21/2.51 (step @p351 :rule trans :premises (@p350 @p341)) % 2.21/2.51 (step @p352 :rule aci_norm :args ((= (or @t278 false @t153 @t271 @t270) @t281))) % 2.21/2.51 (step @p353 :rule refl :args (@t153)) % 2.21/2.51 (step @p354 :rule evaluate :args (@t286)) % 2.21/2.51 (step @p355 :rule cong :premises (@p354) :args (@t287)) % 2.21/2.51 (step @p356 :rule trans :premises (@p355 @p172)) % 2.21/2.51 (step @p357 :rule refl :args (@t278)) % 2.21/2.51 (step @p358 :rule nary_cong :premises (@p357 @p356 @p353 @p333 @p332) :args (@t288)) % 2.21/2.51 (step @p359 :rule trans :premises (@p358 @p352)) % 2.21/2.51 (step @p360 :rule cong :premises (@p359) :args ((forall @t285 @t288))) % 2.21/2.51 (step @p361 :rule trans :premises (@p360 @p351)) % 2.21/2.51 (step @p362 :rule quant-var-elim-eq :args ((= (forall @t80 @t290) @t288))) % 2.21/2.51 (step @p363 :rule aci_norm :args ((= @t291 @t290))) % 2.21/2.51 (step @p364 :rule cong :premises (@p363) :args (@t292)) % 2.21/2.51 (step @p365 :rule trans :premises (@p364 @p362)) % 2.21/2.51 (step @p366 :rule cong :premises (@p365) :args (@t293)) % 2.21/2.51 (step @p367 :rule quant-merge-prenex :args ((= @t293 @t294))) % 2.21/2.51 (step @p368 :rule symm :premises (@p367)) % 2.21/2.51 (step @p369 :rule quant_var_reordering :args ((= (forall @t183 @t291) @t294))) % 2.21/2.51 (step @p370 :rule trans :premises (@p369 @p368 @p366)) % 2.21/2.51 (step @p371 :rule trans :premises (@p370 @p361)) % 2.21/2.51 (step @p372 :rule aci_norm :args ((= (or @t289 (or @t170 (or @t153 (or @t271 @t270)))) @t291))) % 2.21/2.51 (step @p373 :rule bool-and-de-morgan :args (@t180 @t4 true)) % 2.21/2.51 (step @p374 :rule refl :args (@t153)) % 2.21/2.51 (step @p375 :rule nary_cong :premises (@p374 @p373) :args ((or @t153 (not (and @t180 @t4))))) % 2.21/2.51 (step @p376 :rule bool-and-de-morgan :args (@t151 @t180 (and @t4))) % 2.21/2.51 (step @p377 :rule trans :premises (@p376 @p375)) % 2.21/2.51 (step @p378 :rule refl :args (@t170)) % 2.21/2.51 (step @p379 :rule nary_cong :premises (@p378 @p377) :args ((or @t170 (not (and @t151 @t180 @t4))))) % 2.21/2.51 (step @p380 :rule bool-and-de-morgan :args (@t169 @t151 (and @t180 @t4))) % 2.21/2.51 (step @p381 :rule trans :premises (@p380 @p379)) % 2.21/2.51 (step @p382 :rule refl :args (@t289)) % 2.21/2.51 (step @p383 :rule nary_cong :premises (@p382 @p381) :args ((or @t289 (not (and @t169 @t151 @t180 @t4))))) % 2.21/2.51 (step @p384 :rule bool-and-de-morgan :args (@t181 @t169 (and @t151 @t180 @t4))) % 2.21/2.51 (step @p385 :rule trans :premises (@p384 @p383)) % 2.21/2.51 (step @p386 :rule trans :premises (@p385 @p372)) % 2.21/2.51 (step @p387 :rule cong :premises (@p386) :args (@t295)) % 2.21/2.51 (step @p388 :rule trans :premises (@p387 @p371)) % 2.21/2.51 (step @p389 :rule cong :premises (@p388) :args (@t296)) % 2.21/2.51 (step @p390 :rule exists-elim :args ((= @t184 @t296))) % 2.21/2.51 (step @p391 :rule trans :premises (@p390 @p389)) % 2.21/2.51 (step @p392 :rule cong :premises (@p391) :args (@t185)) % 2.21/2.51 (step @p393 :rule trans :premises (@p392 @p317)) % 2.21/2.51 (step @p394 :rule eq_resolve :premises (@p88 @p393)) % 2.21/2.51 (step @p395 :rule chain_m_resolution :premises (@p394 @p316) :args (@t265 @t251 (@list @t257))) % 2.21/2.51 (step @p396 :rule cnf_or_pos :args (@t250)) % 2.21/2.51 (step @p397 :rule reordering :premises (@p396) :args ((or @t238 @t245 @t244 @t243 @t249 (not @t250)))) % 2.21/2.51 (step @p398 :rule chain_m_resolution :premises (@p397 @p395 @p3 @p59 @p60 @p269) :args (@t249 (@list true false false false false) (@list @t238 @t8 @t98 @t99 @t250))) % 2.21/2.51 (step @p399 :rule bool-eq-true :args (@t248)) % 2.21/2.51 (step @p400 :rule evaluate :args ((and true true true true true true true))) % 2.21/2.51 (step @p401 :rule evaluate :args ((= 5 5))) % 2.21/2.51 (step @p402 :rule evaluate :args ((+ 7 6 -1 -7))) % 2.21/2.51 (step @p403 :rule evaluate :args ((* -7 1))) % 2.21/2.51 (step @p404 :rule evaluate :args ((to_int 8/7))) % 2.21/2.51 (step @p405 :rule evaluate :args ((+ 1/1 -5/7 6/7))) % 2.21/2.51 (step @p406 :rule evaluate :args (@t297)) % 2.21/2.51 (step @p407 :rule evaluate :args (@t298)) % 2.21/2.51 (step @p408 :rule refl :args (1/1)) % 2.21/2.51 (step @p409 :rule nary_cong :premises (@p408 @p407 @p406) :args (@t299)) % 2.21/2.51 (step @p410 :rule trans :premises (@p409 @p405)) % 2.21/2.51 (step @p411 :rule cong :premises (@p410) :args (@t300)) % 2.21/2.51 (step @p412 :rule trans :premises (@p411 @p404)) % 2.21/2.51 (step @p413 :rule refl :args (-7)) % 2.21/2.51 (step @p414 :rule nary_cong :premises (@p413 @p412) :args (@t301)) % 2.21/2.51 (step @p415 :rule trans :premises (@p414 @p403)) % 2.21/2.51 (step @p416 :rule nary_cong :premises (@p102 @p251 @p223 @p415) :args (@t302)) % 2.21/2.51 (step @p417 :rule trans :premises (@p416 @p402)) % 2.21/2.51 (step @p418 :rule cong :premises (@p254 @p417) :args (@t303)) % 2.21/2.51 (step @p419 :rule trans :premises (@p418 @p401)) % 2.21/2.51 (step @p420 :rule evaluate :args (@t304)) % 2.21/2.51 (step @p421 :rule cong :premises (@p420) :args (@t305)) % 2.21/2.51 (step @p422 :rule trans :premises (@p421 @p297)) % 2.21/2.51 (step @p423 :rule evaluate :args (@t306)) % 2.21/2.51 (step @p424 :rule evaluate :args (@t307)) % 2.21/2.51 (step @p425 :rule cong :premises (@p424) :args (@t308)) % 2.21/2.51 (step @p426 :rule trans :premises (@p425 @p297)) % 2.21/2.51 (step @p427 :rule evaluate :args (@t309)) % 2.21/2.51 (step @p428 :rule evaluate :args (@t310)) % 2.21/2.51 (step @p429 :rule cong :premises (@p428) :args (@t311)) % 2.21/2.51 (step @p430 :rule trans :premises (@p429 @p297)) % 2.21/2.51 (step @p431 :rule evaluate :args (@t312)) % 2.21/2.51 (step @p432 :rule nary_cong :premises (@p431 @p430 @p427 @p426 @p423 @p422 @p419) :args (@t313)) % 2.21/2.51 (step @p433 :rule trans :premises (@p432 @p400)) % 2.21/2.51 (step @p434 :rule refl :args (@t248)) % 2.21/2.51 (step @p435 :rule cong :premises (@p434 @p433) :args (@t314)) % 2.21/2.51 (step @p436 :rule trans :premises (@p435 @p399)) % 2.21/2.51 (step @p437 :rule refl :args (@t315)) % 2.21/2.51 (step @p438 :rule cong :premises (@p437 @p436) :args ((=> @t315 @t314))) % 2.21/2.51 (assume-push @p477 @t315) % 2.21/2.51 (step @p440 :rule evaluate :args (@t316)) % 2.21/2.51 (step @p441 :rule refl :args (1/7)) % 2.21/2.51 (step @p442 :rule nary_cong :premises (@p441 @p440) :args (@t317)) % 2.21/2.51 (step @p443 :rule evaluate :args (@t165)) % 2.21/2.51 (step @p444 :rule refl :args (-1/7)) % 2.21/2.51 (step @p445 :rule nary_cong :premises (@p444 @p443) :args (@t318)) % 2.21/2.51 (step @p446 :rule refl :args (1/1)) % 2.21/2.51 (step @p447 :rule nary_cong :premises (@p446 @p445 @p442) :args (@t319)) % 2.21/2.51 (step @p448 :rule cong :premises (@p447) :args (@t320)) % 2.21/2.51 (step @p449 :rule refl :args (-7)) % 2.21/2.51 (step @p450 :rule nary_cong :premises (@p449 @p448) :args (@t321)) % 2.21/2.51 (step @p451 :rule refl :args (@t235)) % 2.21/2.51 (step @p452 :rule refl :args (6)) % 2.21/2.51 (step @p453 :rule refl :args (7)) % 2.21/2.51 (step @p454 :rule nary_cong :premises (@p453 @p452 @p451 @p450) :args (@t322)) % 2.21/2.51 (step @p455 :rule refl :args (5)) % 2.21/2.51 (step @p456 :rule cong :premises (@p455 @p454) :args (@t323)) % 2.21/2.51 (step @p457 :rule refl :args (@t305)) % 2.21/2.51 (step @p458 :rule refl :args (@t306)) % 2.21/2.51 (step @p459 :rule refl :args (@t308)) % 2.21/2.51 (step @p460 :rule refl :args (@t309)) % 2.21/2.51 (step @p461 :rule refl :args (@t311)) % 2.21/2.51 (step @p462 :rule refl :args (@t312)) % 2.21/2.51 (step @p463 :rule nary_cong :premises (@p462 @p461 @p460 @p459 @p458 @p457 @p456) :args (@t324)) % 2.21/2.51 (step @p464 :rule refl :args (@t248)) % 2.21/2.51 (step @p465 :rule cong :premises (@p464 @p463) :args ((= @t248 @t324))) % 2.21/2.51 (step @p466 :rule instantiate :premises (@p169) :args ((@list 5 6 1))) % 2.21/2.51 (step @p467 :rule eq_resolve :premises (@p466 @p465)) % 2.21/2.51 (step-pop @p478 :rule scope :premises (@p467)) % 2.21/2.51 (step @p468 :rule process_scope :premises (@p478) :args (@t314)) % 2.21/2.51 (step @p470 :rule eq_resolve :premises (@p468 @p438)) % 2.21/2.51 (step @p471 :rule implies_elim :premises (@p470)) % 2.21/2.51 (step @p472 false :rule chain_m_resolution :premises (@p471 @p398 @p169) :args (false (@list true false) (@list @t248 @t315))) % 2.21/2.51 ) % 2.21/2.51 % SZS output end Proof % 2.21/2.51 % cvc5 exiting %------------------------------------------------------------------------------