%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : TIM015_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n010.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 02:33:36 PM UTC 2026
% Result : Theorem 0.61s 0.42s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : TIM015_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.25 % Computer : n010.cluster.edu
% 0.11/0.25 % Model : x86_64 x86_64
% 0.11/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.25 % Memory : 8046.5625MB
% 0.11/0.25 % OS : Linux 6.8.0-71-generic
% 0.11/0.25 % CPULimit : 300
% 0.11/0.25 % WCLimit : 300
% 0.11/0.25 % DateTime : Mon Sep 28 18:47:47 UTC 2026
% 0.11/0.25 % CPUTime :
% 0.11/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.26/0.30 Running first-order model finding
% 0.26/0.30 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.42 % (2185977)Will run a generic schedule for satisfiability detection.
% 0.61/0.42 % (2185988)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1810934160:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.61/0.42 % (2185984)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=968868426:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.61/0.42 % (2185982)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3000624789_2999 on theBenchmark for (2999ds/0Mi)
% 0.61/0.42 % (2185985)dis+10_1_sil=32000:sp=arity:random_seed=3001726559:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.61/0.42 % (2185986)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2676324291:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.61/0.42 % (2185987)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4184182002:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.61/0.42 % (2185983)% WARNING: option uhcvi not known.
% 0.61/0.42 % (2185983)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3373138115:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.61/0.42 % (2185982)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.61/0.42 % (2185982)Terminated due to inappropriate strategy.
% 0.61/0.42 % (2185982)------------------------------
% 0.61/0.42 % (2185982)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.42 % (2185982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.42 % (2185982)CaDiCaL version: 2.1.3
% 0.61/0.42 % (2185982)Termination reason: Inappropriate
% 0.61/0.42 % (2185982)Time elapsed: 0.008 s
% 0.61/0.42 % (2185982)Peak memory usage: 11 MB
% 0.61/0.42 % (2185982)Instructions burned: 8 (million)
% 0.61/0.42 % (2185982)------------------------------
% 0.61/0.42 % (2185982)------------------------------
% 0.61/0.42 % (2185997)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2445665039:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.61/0.42 % (2185997)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.61/0.42 % (2185997)Terminated due to inappropriate strategy.
% 0.61/0.42 % (2185997)------------------------------
% 0.61/0.42 % (2185997)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.42 % (2185997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.42 % (2185997)CaDiCaL version: 2.1.3
% 0.61/0.42 % (2185997)Termination reason: Inappropriate
% 0.61/0.42 % (2185997)Time elapsed: 0.006 s
% 0.61/0.42 % (2185997)Peak memory usage: 10 MB
% 0.61/0.42 % (2185997)Instructions burned: 7 (million)
% 0.61/0.42 % (2185983) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2185977-2185983"...
% 0.61/0.42 % (2185997)------------------------------
% 0.61/0.42 % (2185997)------------------------------
% 0.61/0.42 % (2185983)...printing done.
% 0.61/0.42 % (2185983)Refutation found. Thanks to Tanya!
% 0.61/0.42 % SZS status Theorem for theBenchmark
% 0.61/0.42 % SZS output start Proof for theBenchmark
% 0.61/0.42 tff(type_def_5, type, date: $tType).
% 0.61/0.42 tff(type_def_6, type, time: $tType).
% 0.61/0.42 tff(type_def_7, type, day_name: $tType).
% 0.61/0.42 tff(func_def_0, type, ymd: ($int * $int * $int) > date).
% 0.61/0.42 tff(func_def_1, type, dt: ($int * $int * $int * $int * $int) > time).
% 0.61/0.42 tff(func_def_2, type, sunday: day_name).
% 0.61/0.42 tff(func_def_3, type, monday: day_name).
% 0.61/0.42 tff(func_def_4, type, tuesday: day_name).
% 0.61/0.42 tff(func_def_5, type, wednesday: day_name).
% 0.61/0.42 tff(func_def_6, type, thursday: day_name).
% 0.61/0.42 tff(func_def_7, type, friday: day_name).
% 0.61/0.42 tff(func_def_8, type, saturday: day_name).
% 0.61/0.42 tff(pred_def_1, type, is_leap_year: $int > $o).
% 0.61/0.42 tff(pred_def_2, type, is_days_in_month: ($int * $int * $int) > $o).
% 0.61/0.42 tff(pred_def_3, type, is_days_in_year: ($int * $int) > $o).
% 0.61/0.42 tff(pred_def_4, type, calc_date: ($int * $int * $int * date) > $o).
% 0.61/0.42 tff(pred_def_5, type, calc_datetime: ($int * $int * $int * $int * $int * $int * $int * $int * time) > $o).
% 0.61/0.42 tff(pred_def_6, type, normalize_time: ($int * $int * $int * $int * $int * $int * $int) > $o).
% 0.61/0.42 tff(pred_def_7, type, weekday: (date * day_name) > $o).
% 0.61/0.42 tff(pred_def_8, type, zeller_prep: ($int * $int * $int * $int * $int * $int) > $o).
% 0.61/0.42 tff(pred_def_9, type, map_iso: ($int * day_name) > $o).
% 0.61/0.42 tff(pred_def_10, type, map_name_to_int: (day_name * $int) > $o).
% 0.61/0.42 tff(pred_def_11, type, nth_weekday_date: ($int * day_name * $int * $int * date) > $o).
% 0.61/0.42 tff(pred_def_12, type, calc_nth_offset: ($int * $int * $int) > $o).
% 0.61/0.42 tff(pred_def_13, type, valid_day: $int > $o).
% 0.61/0.42 tff(f1,axiom,(
% 0.61/0.42 ! [X0 : $int] : (valid_day(X0) <=> ($greater(X0,0) & $lesseq(X0,31)))),
% 0.61/0.42 file('/export/starexec/sandbox2/benchmark/Axioms/TIM001_0.ax',trap_ax)).
% 0.61/0.42 tff(f38,axiom,(
% 0.61/0.42 ! [X0 : $int] : ((($remainder_e(X0,4) = 0 & ($remainder_e(X0,100) != 0 | $remainder_e(X0,400) = 0)) => is_days_in_month(2,X0,29)) & (($remainder_e(X0,4) != 0 | ($remainder_e(X0,100) = 0 & $remainder_e(X0,400) != 0)) => is_days_in_month(2,X0,28)))),
% 0.61/0.42 file('/export/starexec/sandbox2/benchmark/Axioms/TIM001_0.ax',m2)).
% 0.61/0.42 tff(f39,axiom,(
% 0.61/0.42 ! [X0 : $int] : is_days_in_month(3,X0,31)),
% 0.61/0.42 file('/export/starexec/sandbox2/benchmark/Axioms/TIM001_0.ax',m3)).
% 0.61/0.42 tff(f49,axiom,(
% 0.61/0.42 ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int] : ((is_days_in_month(X1,X2,X3) & $greater(X0,0) & $lesseq(X0,X3)) => calc_date(X0,X1,X2,ymd(X2,X1,X0)))),
% 0.61/0.42 file('/export/starexec/sandbox2/benchmark/Axioms/TIM001_0.ax',rule_base)).
% 0.61/0.42 tff(f50,axiom,(
% 0.61/0.42 ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int,X4 : date] : ((is_days_in_month(X1,X2,X3) & $greater(X0,X3) & X1 != 12) => (calc_date($difference(X0,X3),$sum(X1,1),X2,X4) => calc_date(X0,X1,X2,X4)))),
% 0.61/0.42 file('/export/starexec/sandbox2/benchmark/Axioms/TIM001_0.ax',rule_fwd_std)).
% 0.61/0.42 tff(f88,conjecture,(
% 0.61/0.42 ? [X0 : $int,X1 : $int,X2 : $int] : (calc_date($sum(25,4),2,2025,ymd(X0,X1,X2)) & X1 = 3 & X2 = 1 & valid_day(X2))),
% 0.61/0.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_leap_no)).
% 0.61/0.42 tff(f89,negated_conjecture,(
% 0.61/0.42 ~ ? [X0 : $int,X1 : $int,X2 : $int] : (calc_date($sum(25,4),2,2025,ymd(X0,X1,X2)) & X1 = 3 & X2 = 1 & valid_day(X2))),
% 0.61/0.42 inference(negated_conjecture,[status(cth)],[f88])).
% 0.61/0.42 tff(f90,plain,(
% 0.61/0.42 ! [X0 : $int] : (valid_day(X0) <=> ($less(0,X0) & ~$less(31,X0)))),
% 0.61/0.42 inference(theory_normalization,[],[f1])).
% 0.61/0.42 tff(f104,plain,(
% 0.61/0.42 ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int] : ((is_days_in_month(X1,X2,X3) & $less(0,X0) & ~$less(X3,X0)) => calc_date(X0,X1,X2,ymd(X2,X1,X0)))),
% 0.61/0.42 inference(theory_normalization,[],[f49])).
% 0.61/0.42 tff(f105,plain,(
% 0.61/0.42 ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int,X4 : date] : ((is_days_in_month(X1,X2,X3) & $less(X3,X0) & X1 != 12) => (calc_date($sum(X0,$uminus(X3)),$sum(X1,1),X2,X4) => calc_date(X0,X1,X2,X4)))),
% 0.61/0.42 inference(theory_normalization,[],[f50])).
% 0.61/0.42 tff(f117,definition,(
% 0.61/0.42 ( ! [X2 : $int,X0 : $int,X1 : $int] : ($sum(X0,$sum(X1,X2)) = $sum($sum(X0,X1),X2)) )),
% 0.61/0.42 introduced(theory,[tha_associativity])).
% 0.61/0.42 tff(f120,definition,(
% 0.61/0.42 ( ! [X0 : $int] : (0 = $sum(X0,$uminus(X0))) )),
% 0.61/0.42 introduced(theory,[tha_inverse_op_unit])).
% 0.61/0.42 tff(f123,definition,(
% 0.61/0.42 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 0.61/0.42 introduced(theory,[tha_order_totality])).
% 0.61/0.42 tff(f126,definition,(
% 0.61/0.42 ( ! [X0 : $int] : ($uminus($uminus(X0)) = X0) )),
% 0.61/0.42 introduced(theory,[tha_minus_minus_x])).
% 0.61/0.42 tff(f139,plain,(
% 0.61/0.42 ! [X0 : $int] : (($less(0,X0) & ~$less(31,X0)) => valid_day(X0))),
% 0.61/0.42 inference(unused_predicate_definition_removal,[],[f90])).
% 0.61/0.42 tff(f143,plain,(
% 0.61/0.42 ! [X0 : $int] : (valid_day(X0) | (~$less(0,X0) | $less(31,X0)))),
% 0.61/0.42 inference(ennf_transformation,[],[f139])).
% 0.61/0.42 tff(f144,plain,(
% 0.61/0.42 ! [X0 : $int] : (valid_day(X0) | ~$less(0,X0) | $less(31,X0))),
% 0.61/0.42 inference(flattening,[],[f143])).
% 0.61/0.42 tff(f171,plain,(
% 0.61/0.42 ! [X0 : $int] : ((is_days_in_month(2,X0,29) | (0 != $remainder_e(X0,4) | (0 = $remainder_e(X0,100) & 0 != $remainder_e(X0,400)))) & (is_days_in_month(2,X0,28) | (0 = $remainder_e(X0,4) & (0 != $remainder_e(X0,100) | 0 = $remainder_e(X0,400)))))),
% 0.61/0.42 inference(ennf_transformation,[],[f38])).
% 0.61/0.42 tff(f172,plain,(
% 0.61/0.42 ! [X0 : $int] : ((is_days_in_month(2,X0,29) | 0 != $remainder_e(X0,4) | (0 = $remainder_e(X0,100) & 0 != $remainder_e(X0,400))) & (is_days_in_month(2,X0,28) | (0 = $remainder_e(X0,4) & (0 != $remainder_e(X0,100) | 0 = $remainder_e(X0,400)))))),
% 0.61/0.42 inference(flattening,[],[f171])).
% 0.61/0.42 tff(f173,plain,(
% 0.61/0.42 ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int] : (calc_date(X0,X1,X2,ymd(X2,X1,X0)) | (~is_days_in_month(X1,X2,X3) | ~$less(0,X0) | $less(X3,X0)))),
% 0.61/0.42 inference(ennf_transformation,[],[f104])).
% 0.61/0.42 tff(f174,plain,(
% 0.61/0.42 ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int] : (calc_date(X0,X1,X2,ymd(X2,X1,X0)) | ~is_days_in_month(X1,X2,X3) | ~$less(0,X0) | $less(X3,X0))),
% 0.61/0.42 inference(flattening,[],[f173])).
% 0.61/0.42 tff(f175,plain,(
% 0.61/0.42 ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int,X4 : date] : ((calc_date(X0,X1,X2,X4) | ~calc_date($sum(X0,$uminus(X3)),$sum(X1,1),X2,X4)) | (~is_days_in_month(X1,X2,X3) | ~$less(X3,X0) | 12 = X1))),
% 0.61/0.42 inference(ennf_transformation,[],[f105])).
% 0.61/0.42 tff(f176,plain,(
% 0.61/0.42 ! [X0 : $int,X1 : $int,X2 : $int,X3 : $int,X4 : date] : (calc_date(X0,X1,X2,X4) | ~calc_date($sum(X0,$uminus(X3)),$sum(X1,1),X2,X4) | ~is_days_in_month(X1,X2,X3) | ~$less(X3,X0) | 12 = X1)),
% 0.61/0.42 inference(flattening,[],[f175])).
% 0.61/0.42 tff(f206,plain,(
% 0.61/0.42 ! [X0 : $int,X1 : $int,X2 : $int] : (~calc_date($sum(25,4),2,2025,ymd(X0,X1,X2)) | 3 != X1 | 1 != X2 | ~valid_day(X2))),
% 0.61/0.42 inference(ennf_transformation,[],[f89])).
% 0.61/0.42 tff(f207,plain,(
% 0.61/0.42 ( ! [X0 : $int] : (valid_day(X0) | ~$less(0,X0) | $less(31,X0)) )),
% 0.61/0.42 inference(cnf_transformation,[],[f144])).
% 0.61/0.42 tff(f248,plain,(
% 0.61/0.42 ( ! [X0 : $int] : (0 = $remainder_e(X0,4) | is_days_in_month(2,X0,28)) )),
% 0.61/0.42 inference(cnf_transformation,[],[f172])).
% 0.61/0.42 tff(f249,plain,(
% 0.61/0.42 ( ! [X0 : $int] : (is_days_in_month(3,X0,31)) )),
% 0.61/0.42 inference(cnf_transformation,[],[f39])).
% 0.61/0.42 tff(f259,plain,(
% 0.61/0.42 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : ($less(X3,X0) | ~$less(0,X0) | ~is_days_in_month(X1,X2,X3) | calc_date(X0,X1,X2,ymd(X2,X1,X0))) )),
% 0.61/0.42 inference(cnf_transformation,[],[f174])).
% 0.61/0.42 tff(f260,plain,(
% 0.61/0.42 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int,X4 : date] : (12 = X1 | ~$less(X3,X0) | ~is_days_in_month(X1,X2,X3) | ~calc_date($sum(X0,$uminus(X3)),$sum(X1,1),X2,X4) | calc_date(X0,X1,X2,X4)) )),
% 0.61/0.42 inference(cnf_transformation,[],[f176])).
% 0.61/0.42 tff(f300,plain,(
% 0.61/0.42 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~valid_day(X2) | 1 != X2 | 3 != X1 | ~calc_date($sum(25,4),2,2025,ymd(X0,X1,X2))) )),
% 0.61/0.42 inference(cnf_transformation,[],[f206])).
% 0.61/0.42 tff(f325,plain,(
% 0.61/0.42 ( ! [X0 : $int,X1 : $int] : (~valid_day(1) | 3 != X1 | ~calc_date($sum(25,4),2,2025,ymd(X0,X1,1))) )),
% 0.61/0.42 inference(equality_resolution,[],[f300])).
% 0.61/0.42 tff(f326,plain,(
% 0.61/0.42 ( ! [X0 : $int] : (~valid_day(1) | ~calc_date($sum(25,4),2,2025,ymd(X0,3,1))) )),
% 0.61/0.42 inference(equality_resolution,[],[f325])).
% 0.61/0.42 tff(f360,plain,(
% 0.61/0.42 ( ! [X0 : $int] : (~is_days_in_month(2,X0,28) | 0 = $remainder_e(X0,4)) )),
% 0.61/0.42 inference(consistent_polarity_flipping,[],[f248])).
% 0.61/0.42 tff(f364,plain,(
% 0.61/0.42 ( ! [X0 : $int] : (~is_days_in_month(3,X0,31)) )),
% 0.61/0.42 inference(consistent_polarity_flipping,[],[f249])).
% 0.61/0.42 tff(f374,plain,(
% 0.61/0.42 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (~calc_date(X0,X1,X2,ymd(X2,X1,X0)) | ~$less(0,X0) | is_days_in_month(X1,X2,X3) | $less(X3,X0)) )),
% 0.61/0.42 inference(consistent_polarity_flipping,[],[f259])).
% 0.61/0.42 tff(f375,plain,(
% 0.61/0.42 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int,X4 : date] : (~calc_date(X0,X1,X2,X4) | ~$less(X3,X0) | is_days_in_month(X1,X2,X3) | calc_date($sum(X0,$uminus(X3)),$sum(X1,1),X2,X4) | 12 = X1) )),
% 0.61/0.42 inference(consistent_polarity_flipping,[],[f260])).
% 0.61/0.42 tff(f401,plain,(
% 0.61/0.42 ( ! [X0 : $int] : (~valid_day(1) | calc_date($sum(25,4),2,2025,ymd(X0,3,1))) )),
% 0.61/0.42 inference(consistent_polarity_flipping,[],[f326])).
% 0.61/0.42 tff(f402,plain,(
% 0.61/0.42 ( ! [X0 : $int] : (~valid_day(1) | calc_date(29,2,2025,ymd(X0,3,1))) )),
% 0.61/0.42 inference(evaluation,[],[f401])).
% 0.61/0.42 tff(f426,definition,(
% 0.61/0.42 spl0_1 <=> ! [X0 : $int] : calc_date(29,2,2025,ymd(X0,3,1))),
% 0.61/0.42 introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition])).
% 0.61/0.42 tff(f427,plain,(
% 0.61/0.42 ( ! [X0 : $int] : (calc_date(29,2,2025,ymd(X0,3,1))) ) | ~spl0_1),
% 0.61/0.42 inference(avatar_component_clause,[],[f426])).
% 0.61/0.42 tff(f429,definition,(
% 0.61/0.42 spl0_2 <=> valid_day(1)),
% 0.61/0.42 introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition])).
% 0.61/0.42 tff(f431,plain,(
% 0.61/0.42 ~valid_day(1) | spl0_2),
% 0.61/0.42 inference(avatar_component_clause,[],[f429])).
% 0.61/0.42 tff(f432,plain,(
% 0.61/0.42 spl0_1 | ~spl0_2),
% 0.61/0.42 inference(avatar_split_clause,[],[f402,f429,f426])).
% 0.61/0.42 tff(f457,plain,(
% 0.61/0.42 ~$less(0,1) | $less(31,1) | spl0_2),
% 0.61/0.42 inference(resolution,[],[f207,f431])).
% 0.61/0.42 tff(f458,plain,(
% 0.61/0.42 $false | spl0_2),
% 0.61/0.42 inference(evaluation,[],[f457])).
% 0.61/0.42 tff(f459,plain,(
% 0.61/0.42 spl0_2),
% 0.61/0.42 inference(avatar_contradiction_clause,[],[f458])).
% 0.61/0.42 tff(f589,plain,(
% 0.61/0.42 ( ! [X0 : $int,X1 : $int] : ($sum(0,X1) = $sum(X0,$sum($uminus(X0),X1))) )),
% 0.61/0.42 inference(superposition,[],[f117,f120])).
% 0.61/0.42 tff(f608,plain,(
% 0.61/0.42 ( ! [X0 : $int,X1 : $int] : ($sum(X0,$sum($uminus(X0),X1)) = X1) )),
% 0.61/0.42 inference(evaluation,[],[f589])).
% 0.61/0.42 tff(f801,plain,(
% 0.61/0.42 ( ! [X0 : $int,X1 : $int] : (~$less(X0,29) | is_days_in_month(2,2025,X0) | calc_date($sum(29,$uminus(X0)),$sum(2,1),2025,ymd(X1,3,1)) | 2 = 12) ) | ~spl0_1),
% 0.61/0.42 inference(resolution,[],[f375,f427])).
% 0.61/0.42 tff(f802,plain,(
% 0.61/0.42 ( ! [X0 : $int,X1 : $int] : (calc_date($sum(29,$uminus(X0)),3,2025,ymd(X1,3,1)) | is_days_in_month(2,2025,X0) | ~$less(X0,29)) ) | ~spl0_1),
% 0.61/0.42 inference(evaluation,[],[f801])).
% 0.61/0.42 tff(f804,plain,(
% 0.61/0.42 ( ! [X0 : $int,X1 : $int] : (~$less($uminus(X0),29) | is_days_in_month(2,2025,$uminus(X0)) | calc_date($sum(29,X0),3,2025,ymd(X1,3,1))) ) | ~spl0_1),
% 0.61/0.42 inference(superposition,[],[f802,f126])).
% 0.61/0.42 tff(f809,plain,(
% 0.61/0.42 ( ! [X0 : $int,X1 : $int] : (calc_date($sum(29,X0),3,2025,ymd(X1,3,1)) | is_days_in_month(2,2025,$uminus(X0)) | $less(29,$uminus(X0)) | 29 = $uminus(X0)) ) | ~spl0_1),
% 0.61/0.42 inference(resolution,[],[f804,f123])).
% 0.61/0.42 tff(f821,plain,(
% 0.61/0.42 ( ! [X0 : $int,X1 : $int] : (calc_date(X0,3,2025,ymd(X1,3,1)) | is_days_in_month(2,2025,$uminus($sum($uminus(29),X0))) | $less(29,$uminus($sum($uminus(29),X0))) | 29 = $uminus($sum($uminus(29),X0))) ) | ~spl0_1),
% 0.61/0.42 inference(superposition,[],[f809,f608])).
% 0.61/0.42 tff(f823,plain,(
% 0.61/0.42 ( ! [X0 : $int,X1 : $int] : (calc_date(X0,3,2025,ymd(X1,3,1)) | is_days_in_month(2,2025,$uminus($sum(-29,X0))) | $less(29,$uminus($sum(-29,X0))) | 29 = $uminus($sum(-29,X0))) ) | ~spl0_1),
% 0.61/0.42 inference(evaluation,[],[f821])).
% 0.61/0.42 tff(f986,plain,(
% 0.61/0.42 ( ! [X0 : $int] : (is_days_in_month(2,2025,$uminus($sum(-29,1))) | $less(29,$uminus($sum(-29,1))) | 29 = $uminus($sum(-29,1)) | ~$less(0,1) | is_days_in_month(3,2025,X0) | $less(X0,1)) ) | ~spl0_1),
% 0.61/0.42 inference(resolution,[],[f823,f374])).
% 0.61/0.42 tff(f991,plain,(
% 0.61/0.42 ( ! [X0 : $int] : (is_days_in_month(2,2025,28) | is_days_in_month(3,2025,X0) | $less(X0,1)) ) | ~spl0_1),
% 0.61/0.42 inference(evaluation,[],[f986])).
% 0.61/0.42 tff(f993,definition,(
% 0.61/0.42 spl0_7 <=> ! [X0 : $int] : (is_days_in_month(3,2025,X0) | $less(X0,1))),
% 0.61/0.42 introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition])).
% 0.61/0.42 tff(f994,plain,(
% 0.61/0.42 ( ! [X0 : $int] : (is_days_in_month(3,2025,X0) | $less(X0,1)) ) | ~spl0_7),
% 0.61/0.42 inference(avatar_component_clause,[],[f993])).
% 0.61/0.42 tff(f996,definition,(
% 0.61/0.42 spl0_8 <=> is_days_in_month(2,2025,28)),
% 0.61/0.42 introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition])).
% 0.61/0.42 tff(f998,plain,(
% 0.61/0.42 is_days_in_month(2,2025,28) | ~spl0_8),
% 0.61/0.42 inference(avatar_component_clause,[],[f996])).
% 0.61/0.42 tff(f999,plain,(
% 0.61/0.42 spl0_7 | spl0_8 | ~spl0_1),
% 0.61/0.42 inference(avatar_split_clause,[],[f991,f426,f996,f993])).
% 0.61/0.42 tff(f1000,plain,(
% 0.61/0.42 $less(31,1) | ~spl0_7),
% 0.61/0.42 inference(resolution,[],[f994,f364])).
% 0.61/0.42 tff(f1002,plain,(
% 0.61/0.42 $false | ~spl0_7),
% 0.61/0.42 inference(evaluation,[],[f1000])).
% 0.61/0.42 tff(f1003,plain,(
% 0.61/0.42 ~spl0_7),
% 0.61/0.42 inference(avatar_contradiction_clause,[],[f1002])).
% 0.61/0.42 tff(f1004,plain,(
% 0.61/0.42 0 = $remainder_e(2025,4) | ~spl0_8),
% 0.61/0.42 inference(resolution,[],[f998,f360])).
% 0.61/0.42 tff(f1006,plain,(
% 0.61/0.42 $false | ~spl0_8),
% 0.61/0.42 inference(evaluation,[],[f1004])).
% 0.61/0.42 tff(f1007,plain,(
% 0.61/0.42 ~spl0_8),
% 0.61/0.42 inference(avatar_contradiction_clause,[],[f1006])).
% 0.61/0.42 cnf(s1, plain, spl0_1 | ~spl0_2, inference(sat_conversion,[],[f432])).
% 0.61/0.42 cnf(s2, plain, spl0_2, inference(sat_conversion,[],[f459])).
% 0.61/0.42 cnf(s5, plain, ~spl0_1 | spl0_7 | spl0_8, inference(sat_conversion,[],[f999])).
% 0.61/0.42 cnf(s6, plain, ~spl0_7, inference(sat_conversion,[],[f1003])).
% 0.61/0.42 cnf(s7, plain, ~spl0_8, inference(sat_conversion,[],[f1007])).
% 0.61/0.42 cnf(s8, plain, ~spl0_1, inference(rat,[],[s5,s7,s6])).
% 0.61/0.42 cnf(s9, plain, $false, inference(rat,[],[s1,s2,s8])).
% 0.61/0.42 tff(f1008,plain,(
% 0.61/0.42 $false),
% 0.61/0.42 inference(avatar_sat_refutation,[],[s9])).
% 0.61/0.42 % SZS output end Proof for theBenchmark
% 0.61/0.42 % (2185983)------------------------------
% 0.61/0.42 % (2185983)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.42 % (2185983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.42 % (2185983)CaDiCaL version: 2.1.3
% 0.61/0.42 % (2185983)Termination reason: Refutation
% 0.61/0.42 % (2185983)Time elapsed: 0.054 s
% 0.61/0.42 % (2185983)Peak memory usage: 14 MB
% 0.61/0.42 % (2185983)Instructions burned: 46 (million)
% 0.61/0.42 % (2185977)Success in time 0.102 s
% 0.61/0.42 % Vampire exiting
%------------------------------------------------------------------------------