%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : TIM020_1 : TPTP v9.3.1. Released v9.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n017.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 0.11s 0.27s
% Output : Refutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : TIM020_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.18 % Computer : n017.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Mon Sep 28 18:43:06 UTC 2026
% 0.11/0.18 % CPUTime :
% 0.11/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.21 Running first-order model finding
% 0.11/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.27 % (3870899)Will run a generic schedule for satisfiability detection.
% 0.11/0.27 % (3870921)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2160756562:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.27 % (3870921) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3870899-3870921"...
% 0.11/0.27 % (3870915)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1608688679_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.27 % (3870916)% WARNING: option uhcvi not known.
% 0.11/0.27 % (3870917)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3534149835:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.27 % (3870918)dis+10_1_sil=32000:sp=arity:random_seed=3657352187:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.27 % (3870919)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2280139954:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.27 % (3870920)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2436308678:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.27 % (3870921)...printing done.
% 0.11/0.27 % (3870916)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=322499295:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.27 % (3870921)Refutation found. Thanks to Tanya!
% 0.11/0.27 % SZS status Theorem for theBenchmark
% 0.11/0.27 % SZS output start Proof for theBenchmark
% 0.11/0.27 tff(type_def_5, type, date: $tType).
% 0.11/0.27 tff(type_def_6, type, time: $tType).
% 0.11/0.27 tff(type_def_7, type, day_name: $tType).
% 0.11/0.27 tff(func_def_0, type, ymd: ($int * $int * $int) > date).
% 0.11/0.27 tff(func_def_1, type, dt: ($int * $int * $int * $int * $int) > time).
% 0.11/0.27 tff(func_def_2, type, sunday: day_name).
% 0.11/0.27 tff(func_def_3, type, monday: day_name).
% 0.11/0.27 tff(func_def_4, type, tuesday: day_name).
% 0.11/0.27 tff(func_def_5, type, wednesday: day_name).
% 0.11/0.27 tff(func_def_6, type, thursday: day_name).
% 0.11/0.27 tff(func_def_7, type, friday: day_name).
% 0.11/0.27 tff(func_def_8, type, saturday: day_name).
% 0.11/0.27 tff(pred_def_1, type, is_leap_year: $int > $o).
% 0.11/0.27 tff(pred_def_2, type, is_days_in_month: ($int * $int * $int) > $o).
% 0.11/0.27 tff(pred_def_3, type, is_days_in_year: ($int * $int) > $o).
% 0.11/0.27 tff(pred_def_4, type, calc_date: ($int * $int * $int * date) > $o).
% 0.11/0.27 tff(pred_def_5, type, calc_datetime: ($int * $int * $int * $int * $int * $int * $int * $int * time) > $o).
% 0.11/0.27 tff(pred_def_6, type, normalize_time: ($int * $int * $int * $int * $int * $int * $int) > $o).
% 0.11/0.27 tff(pred_def_7, type, weekday: (date * day_name) > $o).
% 0.11/0.27 tff(pred_def_8, type, zeller_prep: ($int * $int * $int * $int * $int * $int) > $o).
% 0.11/0.27 tff(pred_def_9, type, map_iso: ($int * day_name) > $o).
% 0.11/0.27 tff(pred_def_10, type, map_name_to_int: (day_name * $int) > $o).
% 0.11/0.27 tff(pred_def_11, type, nth_weekday_date: ($int * day_name * $int * $int * date) > $o).
% 0.11/0.27 tff(pred_def_12, type, calc_nth_offset: ($int * $int * $int) > $o).
% 0.11/0.27 tff(pred_def_13, type, valid_day: $int > $o).
% 0.11/0.27 tff(f1,axiom,(
% 0.11/0.27 ! [X0 : $int] : (valid_day(X0) <=> ($greater(X0,0) & $lesseq(X0,31)))),
% 0.11/0.27 file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',trap_ax)).
% 0.11/0.27 tff(f19,axiom,(
% 0.11/0.27 calc_date(32,12,2024,ymd(2025,1,1))),
% 0.11/0.27 file('/export/starexec/sandbox/benchmark/Axioms/TIM001_0.ax',lemma_boundary_dec32)).
% 0.11/0.27 tff(f88,conjecture,(
% 0.11/0.27 ? [X0 : $int,X1 : $int,X2 : $int] : (calc_date($sum(31,1),12,2024,ymd(X0,X1,X2)) & X0 = 2025 & X1 = 1 & X2 = 1 & valid_day(X2))),
% 0.11/0.27 file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_ny_fwd)).
% 0.11/0.27 tff(f89,negated_conjecture,(
% 0.11/0.27 ~ ? [X0 : $int,X1 : $int,X2 : $int] : (calc_date($sum(31,1),12,2024,ymd(X0,X1,X2)) & X0 = 2025 & X1 = 1 & X2 = 1 & valid_day(X2))),
% 0.11/0.27 inference(negated_conjecture,[status(cth)],[f88])).
% 0.11/0.27 tff(f90,plain,(
% 0.11/0.27 ! [X0 : $int] : (valid_day(X0) <=> ($less(0,X0) & ~$less(31,X0)))),
% 0.11/0.27 inference(theory_normalization,[],[f1])).
% 0.11/0.27 tff(f116,definition,(
% 0.11/0.27 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.11/0.27 introduced(theory,[tha_commutativity])).
% 0.11/0.27 tff(f118,definition,(
% 0.11/0.27 ( ! [X0 : $int] : ($sum(X0,0) = X0) )),
% 0.11/0.27 introduced(theory,[tha_right_identity])).
% 0.11/0.27 tff(f138,definition,(
% 0.11/0.27 ( ! [X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,$sum(X0,1))) )),
% 0.11/0.27 introduced(theory,[tha_extra_integer_ordering])).
% 0.11/0.27 tff(f139,plain,(
% 0.11/0.27 ! [X0 : $int] : (($less(0,X0) & ~$less(31,X0)) => valid_day(X0))),
% 0.11/0.27 inference(unused_predicate_definition_removal,[],[f90])).
% 0.11/0.27 tff(f143,plain,(
% 0.11/0.27 ! [X0 : $int] : (valid_day(X0) | (~$less(0,X0) | $less(31,X0)))),
% 0.11/0.27 inference(ennf_transformation,[],[f139])).
% 0.11/0.27 tff(f144,plain,(
% 0.11/0.27 ! [X0 : $int] : (valid_day(X0) | ~$less(0,X0) | $less(31,X0))),
% 0.11/0.27 inference(flattening,[],[f143])).
% 0.11/0.27 tff(f206,plain,(
% 0.11/0.27 ! [X0 : $int,X1 : $int,X2 : $int] : (~calc_date($sum(31,1),12,2024,ymd(X0,X1,X2)) | 2025 != X0 | 1 != X1 | 1 != X2 | ~valid_day(X2))),
% 0.11/0.27 inference(ennf_transformation,[],[f89])).
% 0.11/0.27 tff(f208,plain,(
% 0.11/0.27 ( ! [X0 : $int] : ($less(31,X0) | ~$less(0,X0) | valid_day(X0)) )),
% 0.11/0.27 inference(cnf_transformation,[],[f144])).
% 0.11/0.27 tff(f226,plain,(
% 0.11/0.27 calc_date(32,12,2024,ymd(2025,1,1))),
% 0.11/0.27 inference(cnf_transformation,[],[f19])).
% 0.11/0.27 tff(f301,plain,(
% 0.11/0.27 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~calc_date($sum(31,1),12,2024,ymd(X0,X1,X2)) | 2025 != X0 | 1 != X1 | 1 != X2 | ~valid_day(X2)) )),
% 0.11/0.27 inference(cnf_transformation,[],[f206])).
% 0.11/0.27 tff(f326,plain,(
% 0.11/0.27 ( ! [X2 : $int,X1 : $int] : (~calc_date($sum(31,1),12,2024,ymd(2025,X1,X2)) | 1 != X1 | 1 != X2 | ~valid_day(X2)) )),
% 0.11/0.27 inference(equality_resolution,[],[f301])).
% 0.11/0.27 tff(f327,plain,(
% 0.11/0.27 ( ! [X2 : $int] : (~calc_date($sum(31,1),12,2024,ymd(2025,1,X2)) | 1 != X2 | ~valid_day(X2)) )),
% 0.11/0.27 inference(equality_resolution,[],[f326])).
% 0.11/0.27 tff(f328,plain,(
% 0.11/0.27 ~calc_date($sum(31,1),12,2024,ymd(2025,1,1)) | ~valid_day(1)),
% 0.11/0.27 inference(equality_resolution,[],[f327])).
% 0.11/0.27 tff(f345,plain,(
% 0.11/0.27 ~calc_date(32,12,2024,ymd(2025,1,1)) | ~valid_day(1)),
% 0.11/0.27 inference(evaluation,[],[f328])).
% 0.11/0.27 tff(f369,definition,(
% 0.11/0.27 spl0_1 <=> valid_day(1)),
% 0.11/0.27 introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition])).
% 0.11/0.27 tff(f373,definition,(
% 0.11/0.27 spl0_2 <=> calc_date(32,12,2024,ymd(2025,1,1))),
% 0.11/0.27 introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition])).
% 0.11/0.27 tff(f376,plain,(
% 0.11/0.27 ~spl0_1 | ~spl0_2),
% 0.11/0.27 inference(avatar_split_clause,[],[f345,f373,f369])).
% 0.11/0.27 tff(f377,plain,(
% 0.11/0.27 spl0_2),
% 0.11/0.27 inference(avatar_split_clause,[],[f226,f373])).
% 0.11/0.27 tff(f426,plain,(
% 0.11/0.27 ( ! [X0 : $int,X1 : $int] : (~$less(X1,$sum(1,X0)) | ~$less(X0,X1)) )),
% 0.11/0.27 inference(superposition,[],[f138,f116])).
% 0.11/0.27 tff(f496,plain,(
% 0.11/0.27 ( ! [X0 : $int] : (~$less(X0,1) | ~$less(0,X0)) )),
% 0.11/0.27 inference(superposition,[],[f426,f118])).
% 0.11/0.27 tff(f507,plain,(
% 0.11/0.27 ~$less(0,31) | ~$less(0,1) | valid_day(1)),
% 0.11/0.27 inference(resolution,[],[f496,f208])).
% 0.11/0.27 tff(f511,plain,(
% 0.11/0.27 valid_day(1)),
% 0.11/0.27 inference(evaluation,[],[f507])).
% 0.11/0.27 tff(f512,plain,(
% 0.11/0.27 spl0_1),
% 0.11/0.27 inference(avatar_split_clause,[],[f511,f369])).
% 0.11/0.27 cnf(s1, plain, ~spl0_1 | ~spl0_2, inference(sat_conversion,[],[f376])).
% 0.11/0.27 cnf(s2, plain, spl0_2, inference(sat_conversion,[],[f377])).
% 0.11/0.27 cnf(s3, plain, spl0_1, inference(sat_conversion,[],[f512])).
% 0.11/0.27 cnf(s4, plain, $false, inference(rat,[],[s1,s2,s3])).
% 0.11/0.27 tff(f513,plain,(
% 0.11/0.27 $false),
% 0.11/0.27 inference(avatar_sat_refutation,[],[s4])).
% 0.11/0.27 % SZS output end Proof for theBenchmark
% 0.11/0.27 % (3870921)------------------------------
% 0.11/0.27 % (3870921)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.27 % (3870921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.27 % (3870921)CaDiCaL version: 2.1.3
% 0.11/0.27 % (3870921)Termination reason: Refutation
% 0.11/0.27 % (3870921)Time elapsed: 0.007 s
% 0.11/0.27 % (3870921)Peak memory usage: 13 MB
% 0.11/0.27 % (3870921)Instructions burned: 17 (million)
% 0.11/0.27 % (3870899)Success in time 0.043 s
% 0.11/0.27 % Vampire exiting
%------------------------------------------------------------------------------