%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : TIM027_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 : n003.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 02:33:37 PM UTC 2026
% Result : Theorem 0.61s 0.45s
% Output : Refutation 0.61s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TIM027_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.25 % Computer : n003.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 18:49:27 UTC 2026
% 0.11/0.25 % CPUTime :
% 0.11/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.24/0.30 Running first-order model finding
% 0.24/0.30 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
% 0.61/0.45 % (1867253)Will run a generic schedule for satisfiability detection.
% 0.61/0.45 % (1867259)% WARNING: option uhcvi not known.
% 0.61/0.45 % (1867259)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3974807811:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.61/0.45 % (1867263)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4038979654:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.61/0.45 % (1867264)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1317025413:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.61/0.45 % (1867261)dis+10_1_sil=32000:sp=arity:random_seed=3491469779:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.61/0.45 % (1867260)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=895063083:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.61/0.45 % (1867258)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=419577752_2999 on theBenchmark for (2999ds/0Mi)
% 0.61/0.45 % (1867262)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2534232540:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.61/0.45 % (1867258)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.61/0.45 % (1867258)Terminated due to inappropriate strategy.
% 0.61/0.45 % (1867258)------------------------------
% 0.61/0.45 % (1867258)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.45 % (1867258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.45 % (1867258)CaDiCaL version: 2.1.3
% 0.61/0.45 % (1867258)Termination reason: Inappropriate
% 0.61/0.45 % (1867258)Time elapsed: 0.008 s
% 0.61/0.45 % (1867258)Peak memory usage: 10 MB
% 0.61/0.45 % (1867258)Instructions burned: 8 (million)
% 0.61/0.45 % (1867258)------------------------------
% 0.61/0.45 % (1867258)------------------------------
% 0.61/0.45 % (1867272)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1244538209:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.61/0.45 % (1867272)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.61/0.45 % (1867272)Terminated due to inappropriate strategy.
% 0.61/0.45 % (1867272)------------------------------
% 0.61/0.45 % (1867272)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.45 % (1867272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.45 % (1867272)CaDiCaL version: 2.1.3
% 0.61/0.45 % (1867272)Termination reason: Inappropriate
% 0.61/0.45 % (1867272)Time elapsed: 0.007 s
% 0.61/0.45 % (1867272)Peak memory usage: 10 MB
% 0.61/0.45 % (1867272)Instructions burned: 7 (million)
% 0.61/0.45 % (1867272)------------------------------
% 0.61/0.45 % (1867272)------------------------------
% 0.61/0.45 % (1867274)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3669313088:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.61/0.45 % (1867259) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1867253-1867259"...
% 0.61/0.45 % (1867259)...printing done.
% 0.61/0.45 % (1867259)Refutation found. Thanks to Tanya!
% 0.61/0.45 % SZS status Theorem for theBenchmark
% 0.61/0.45 % SZS output start Proof for theBenchmark
% 0.61/0.45 tff(type_def_5, type, date: $tType).
% 0.61/0.45 tff(type_def_6, type, time: $tType).
% 0.61/0.45 tff(type_def_7, type, day_name: $tType).
% 0.61/0.45 tff(func_def_0, type, ymd: ($int * $int * $int) > date).
% 0.61/0.45 tff(func_def_1, type, dt: ($int * $int * $int * $int * $int) > time).
% 0.61/0.45 tff(func_def_2, type, sunday: day_name).
% 0.61/0.45 tff(func_def_3, type, monday: day_name).
% 0.61/0.45 tff(func_def_4, type, tuesday: day_name).
% 0.61/0.45 tff(func_def_5, type, wednesday: day_name).
% 0.61/0.45 tff(func_def_6, type, thursday: day_name).
% 0.61/0.45 tff(func_def_7, type, friday: day_name).
% 0.61/0.45 tff(func_def_8, type, saturday: day_name).
% 0.61/0.45 tff(pred_def_1, type, is_leap_year: $int > $o).
% 0.61/0.45 tff(pred_def_2, type, is_days_in_month: ($int * $int * $int) > $o).
% 0.61/0.45 tff(pred_def_3, type, is_days_in_year: ($int * $int) > $o).
% 0.61/0.45 tff(pred_def_4, type, calc_date: ($int * $int * $int * date) > $o).
% 0.61/0.45 tff(pred_def_5, type, calc_datetime: ($int * $int * $int * $int * $int * $int * $int * $int * time) > $o).
% 0.61/0.45 tff(pred_def_6, type, normalize_time: ($int * $int * $int * $int * $int * $int * $int) > $o).
% 0.61/0.45 tff(pred_def_7, type, weekday: (date * day_name) > $o).
% 0.61/0.45 tff(pred_def_8, type, zeller_prep: ($int * $int * $int * $int * $int * $int) > $o).
% 0.61/0.45 tff(pred_def_9, type, map_iso: ($int * day_name) > $o).
% 0.61/0.45 tff(pred_def_10, type, map_name_to_int: (day_name * $int) > $o).
% 0.61/0.45 tff(pred_def_11, type, nth_weekday_date: ($int * day_name * $int * $int * date) > $o).
% 0.61/0.45 tff(pred_def_12, type, calc_nth_offset: ($int * $int * $int) > $o).
% 0.61/0.45 tff(pred_def_13, type, valid_day: $int > $o).
% 0.61/0.45 tff(f1,axiom,(
% 0.61/0.45 ! [X0 : $int] : (valid_day(X0) <=> ($greater(X0,0) & $lesseq(X0,31)))),
% 0.61/0.45 file('/export/starexec/sandbox2/benchmark/Axioms/TIM001_0.ax',trap_ax)).
% 0.61/0.45 tff(f48,axiom,(
% 0.61/0.45 ! [X0 : $int] : is_days_in_month(12,X0,31)),
% 0.61/0.45 file('/export/starexec/sandbox2/benchmark/Axioms/TIM001_0.ax',m12)).
% 0.61/0.45 tff(f49,axiom,(
% 0.61/0.45 ! [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)))),
% 0.61/0.45 file('/export/starexec/sandbox2/benchmark/Axioms/TIM001_0.ax',rule_base)).
% 0.61/0.45 tff(f88,conjecture,(
% 0.61/0.45 ? [X0 : $int,X1 : $int,X2 : $int] : (calc_date($sum(1,30),12,2024,ymd(X0,X1,X2)) & X0 = 2024 & X1 = 12 & X2 = 31 & valid_day(X2))),
% 0.61/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_dec_bound)).
% 0.61/0.45 tff(f89,negated_conjecture,(
% 0.61/0.45 ~ ? [X0 : $int,X1 : $int,X2 : $int] : (calc_date($sum(1,30),12,2024,ymd(X0,X1,X2)) & X0 = 2024 & X1 = 12 & X2 = 31 & valid_day(X2))),
% 0.61/0.45 inference(negated_conjecture,[status(cth)],[f88])).
% 0.61/0.45 tff(f90,plain,(
% 0.61/0.45 ! [X0 : $int] : (valid_day(X0) <=> ($less(0,X0) & ~$less(31,X0)))),
% 0.61/0.45 inference(theory_normalization,[],[f1])).
% 0.61/0.45 tff(f104,plain,(
% 0.61/0.45 ! [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)))),
% 0.61/0.45 inference(theory_normalization,[],[f49])).
% 0.61/0.45 tff(f123,definition,(
% 0.61/0.45 ( ! [X0 : $int,X1 : $int] : ($less(X0,X1) | $less(X1,X0) | X0 = X1) )),
% 0.61/0.45 introduced(theory,[tha_order_totality])).
% 0.61/0.45 tff(f139,plain,(
% 0.61/0.45 ! [X0 : $int] : (($less(0,X0) & ~$less(31,X0)) => valid_day(X0))),
% 0.61/0.45 inference(unused_predicate_definition_removal,[],[f90])).
% 0.61/0.45 tff(f143,plain,(
% 0.61/0.45 ! [X0 : $int] : (valid_day(X0) | (~$less(0,X0) | $less(31,X0)))),
% 0.61/0.45 inference(ennf_transformation,[],[f139])).
% 0.61/0.45 tff(f144,plain,(
% 0.61/0.45 ! [X0 : $int] : (valid_day(X0) | ~$less(0,X0) | $less(31,X0))),
% 0.61/0.45 inference(flattening,[],[f143])).
% 0.61/0.45 tff(f173,plain,(
% 0.61/0.45 ! [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)))),
% 0.61/0.45 inference(ennf_transformation,[],[f104])).
% 0.61/0.45 tff(f174,plain,(
% 0.61/0.45 ! [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))),
% 0.61/0.45 inference(flattening,[],[f173])).
% 0.61/0.45 tff(f206,plain,(
% 0.61/0.45 ! [X0 : $int,X1 : $int,X2 : $int] : (~calc_date($sum(1,30),12,2024,ymd(X0,X1,X2)) | 2024 != X0 | 12 != X1 | 31 != X2 | ~valid_day(X2))),
% 0.61/0.45 inference(ennf_transformation,[],[f89])).
% 0.61/0.45 tff(f207,plain,(
% 0.61/0.45 ( ! [X0 : $int] : (valid_day(X0) | ~$less(0,X0) | $less(31,X0)) )),
% 0.61/0.45 inference(cnf_transformation,[],[f144])).
% 0.61/0.45 tff(f258,plain,(
% 0.61/0.45 ( ! [X0 : $int] : (is_days_in_month(12,X0,31)) )),
% 0.61/0.45 inference(cnf_transformation,[],[f48])).
% 0.61/0.45 tff(f259,plain,(
% 0.61/0.45 ( ! [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))) )),
% 0.61/0.45 inference(cnf_transformation,[],[f174])).
% 0.61/0.45 tff(f300,plain,(
% 0.61/0.45 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~valid_day(X2) | 31 != X2 | 12 != X1 | 2024 != X0 | ~calc_date($sum(1,30),12,2024,ymd(X0,X1,X2))) )),
% 0.61/0.45 inference(cnf_transformation,[],[f206])).
% 0.61/0.45 tff(f325,plain,(
% 0.61/0.45 ( ! [X0 : $int,X1 : $int] : (~valid_day(31) | 12 != X1 | 2024 != X0 | ~calc_date($sum(1,30),12,2024,ymd(X0,X1,31))) )),
% 0.61/0.45 inference(equality_resolution,[],[f300])).
% 0.61/0.45 tff(f326,plain,(
% 0.61/0.45 ( ! [X0 : $int] : (~valid_day(31) | 2024 != X0 | ~calc_date($sum(1,30),12,2024,ymd(X0,12,31))) )),
% 0.61/0.45 inference(equality_resolution,[],[f325])).
% 0.61/0.45 tff(f327,plain,(
% 0.61/0.45 ~valid_day(31) | ~calc_date($sum(1,30),12,2024,ymd(2024,12,31))),
% 0.61/0.45 inference(equality_resolution,[],[f326])).
% 0.61/0.45 tff(f344,plain,(
% 0.61/0.45 ( ! [X0 : $int] : (~is_days_in_month(12,X0,31)) )),
% 0.61/0.45 inference(consistent_polarity_flipping,[],[f258])).
% 0.61/0.45 tff(f345,plain,(
% 0.61/0.45 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (~$less(0,X0) | $less(X3,X0) | is_days_in_month(X1,X2,X3) | calc_date(X0,X1,X2,ymd(X2,X1,X0))) )),
% 0.61/0.45 inference(consistent_polarity_flipping,[],[f259])).
% 0.61/0.45 tff(f370,plain,(
% 0.61/0.45 ~valid_day(31) | ~calc_date(31,12,2024,ymd(2024,12,31))),
% 0.61/0.45 inference(evaluation,[],[f327])).
% 0.61/0.45 tff(f394,definition,(
% 0.61/0.45 spl0_1 <=> calc_date(31,12,2024,ymd(2024,12,31))),
% 0.61/0.45 introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition])).
% 0.61/0.45 tff(f396,plain,(
% 0.61/0.45 ~calc_date(31,12,2024,ymd(2024,12,31)) | spl0_1),
% 0.61/0.45 inference(avatar_component_clause,[],[f394])).
% 0.61/0.45 tff(f398,definition,(
% 0.61/0.45 spl0_2 <=> valid_day(31)),
% 0.61/0.45 introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition])).
% 0.61/0.45 tff(f400,plain,(
% 0.61/0.45 ~valid_day(31) | spl0_2),
% 0.61/0.45 inference(avatar_component_clause,[],[f398])).
% 0.61/0.45 tff(f401,plain,(
% 0.61/0.45 ~spl0_1 | ~spl0_2),
% 0.61/0.45 inference(avatar_split_clause,[],[f370,f398,f394])).
% 0.61/0.45 tff(f696,plain,(
% 0.61/0.45 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (is_days_in_month(X2,X3,X0) | calc_date(X1,X2,X3,ymd(X3,X2,X1)) | $less(X0,X1) | $less(X1,0) | 0 = X1) )),
% 0.61/0.45 inference(resolution,[],[f345,f123])).
% 0.61/0.45 tff(f3461,plain,(
% 0.61/0.45 ( ! [X0 : $int] : (is_days_in_month(12,2024,X0) | $less(X0,31) | $less(31,0) | 0 = 31) ) | spl0_1),
% 0.61/0.45 inference(resolution,[],[f696,f396])).
% 0.61/0.45 tff(f3481,plain,(
% 0.61/0.45 ( ! [X0 : $int] : (is_days_in_month(12,2024,X0) | $less(X0,31)) ) | spl0_1),
% 0.61/0.45 inference(evaluation,[],[f3461])).
% 0.61/0.45 tff(f3500,plain,(
% 0.61/0.45 $less(31,31) | spl0_1),
% 0.61/0.45 inference(resolution,[],[f3481,f344])).
% 0.61/0.45 tff(f3502,plain,(
% 0.61/0.45 $false | spl0_1),
% 0.61/0.45 inference(evaluation,[],[f3500])).
% 0.61/0.45 tff(f3503,plain,(
% 0.61/0.45 spl0_1),
% 0.61/0.45 inference(avatar_contradiction_clause,[],[f3502])).
% 0.61/0.45 tff(f3504,plain,(
% 0.61/0.45 ~$less(0,31) | $less(31,31) | spl0_2),
% 0.61/0.45 inference(resolution,[],[f400,f207])).
% 0.61/0.45 tff(f3505,plain,(
% 0.61/0.45 $false | spl0_2),
% 0.61/0.45 inference(evaluation,[],[f3504])).
% 0.61/0.45 tff(f3506,plain,(
% 0.61/0.45 spl0_2),
% 0.61/0.45 inference(avatar_contradiction_clause,[],[f3505])).
% 0.61/0.45 cnf(s1, plain, ~spl0_1 | ~spl0_2, inference(sat_conversion,[],[f401])).
% 0.61/0.45 cnf(s4, plain, spl0_1, inference(sat_conversion,[],[f3503])).
% 0.61/0.45 cnf(s5, plain, spl0_2, inference(sat_conversion,[],[f3506])).
% 0.61/0.45 cnf(s6, plain, $false, inference(rat,[],[s1,s5,s4])).
% 0.61/0.45 tff(f3507,plain,(
% 0.61/0.45 $false),
% 0.61/0.45 inference(avatar_sat_refutation,[],[s6])).
% 0.61/0.45 % SZS output end Proof for theBenchmark
% 0.61/0.45 % (1867259)------------------------------
% 0.61/0.45 % (1867259)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.61/0.45 % (1867259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.61/0.45 % (1867259)CaDiCaL version: 2.1.3
% 0.61/0.45 % (1867259)Termination reason: Refutation
% 0.61/0.45 % (1867259)Time elapsed: 0.107 s
% 0.61/0.45 % (1867259)Peak memory usage: 15 MB
% 0.61/0.45 % (1867259)Instructions burned: 173 (million)
% 0.61/0.45 % (1867253)Success in time 0.138 s
% 0.61/0.45 % Vampire exiting
%------------------------------------------------------------------------------