%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : TIM029_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 : 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 02:33:37 PM UTC 2026
% Result : Theorem 0.19s 0.30s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : TIM029_1 : TPTP v9.3.1. Released v9.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n017.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 18:43:21 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.19/0.30 % (3871646)Will run a generic schedule for satisfiability detection.
% 0.19/0.30 % (3871658)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3155985709:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.30 % (3871657)% WARNING: option uhcvi not known.
% 0.19/0.30 % (3871662)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2804033618:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.30 % (3871661)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=929294668:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.30 % (3871656)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=84889270_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.30 % (3871657)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=400212484:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.30 % (3871660)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4231632131:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.30 % (3871659)dis+10_1_sil=32000:sp=arity:random_seed=125085176:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.30 % (3871656)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.30 % (3871656)Terminated due to inappropriate strategy.
% 0.19/0.30 % (3871656)------------------------------
% 0.19/0.30 % (3871656)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.30 % (3871656)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.30 % (3871656)CaDiCaL version: 2.1.3
% 0.19/0.30 % (3871656)Termination reason: Inappropriate
% 0.19/0.30 % (3871656)Time elapsed: 0.005 s
% 0.19/0.30 % (3871656)Peak memory usage: 10 MB
% 0.19/0.30 % (3871656)Instructions burned: 8 (million)
% 0.19/0.30 % (3871656)------------------------------
% 0.19/0.30 % (3871656)------------------------------
% 0.19/0.30 % (3871677)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=607897169:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.19/0.30 % (3871677)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.30 % (3871677)Terminated due to inappropriate strategy.
% 0.19/0.30 % (3871677)------------------------------
% 0.19/0.30 % (3871677)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.30 % (3871677)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.30 % (3871677)CaDiCaL version: 2.1.3
% 0.19/0.30 % (3871677)Termination reason: Inappropriate
% 0.19/0.30 % (3871677)Time elapsed: 0.003 s
% 0.19/0.30 % (3871677)Peak memory usage: 10 MB
% 0.19/0.30 % (3871677)Instructions burned: 6 (million)
% 0.19/0.30 % (3871677)------------------------------
% 0.19/0.30 % (3871677)------------------------------
% 0.19/0.30 % (3871657) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3871646-3871657"...
% 0.19/0.30 % (3871657)...printing done.
% 0.19/0.30 % (3871657)Refutation found. Thanks to Tanya!
% 0.19/0.30 % SZS status Theorem for theBenchmark
% 0.19/0.30 % SZS output start Proof for theBenchmark
% 0.19/0.30 tff(type_def_5, type, date: $tType).
% 0.19/0.30 tff(type_def_6, type, time: $tType).
% 0.19/0.30 tff(type_def_7, type, day_name: $tType).
% 0.19/0.30 tff(func_def_0, type, ymd: ($int * $int * $int) > date).
% 0.19/0.30 tff(func_def_1, type, dt: ($int * $int * $int * $int * $int) > time).
% 0.19/0.30 tff(func_def_2, type, sunday: day_name).
% 0.19/0.30 tff(func_def_3, type, monday: day_name).
% 0.19/0.30 tff(func_def_4, type, tuesday: day_name).
% 0.19/0.30 tff(func_def_5, type, wednesday: day_name).
% 0.19/0.30 tff(func_def_6, type, thursday: day_name).
% 0.19/0.30 tff(func_def_7, type, friday: day_name).
% 0.19/0.30 tff(func_def_8, type, saturday: day_name).
% 0.19/0.30 tff(pred_def_1, type, is_leap_year: $int > $o).
% 0.19/0.30 tff(pred_def_2, type, is_days_in_month: ($int * $int * $int) > $o).
% 0.19/0.30 tff(pred_def_3, type, is_days_in_year: ($int * $int) > $o).
% 0.19/0.30 tff(pred_def_4, type, calc_date: ($int * $int * $int * date) > $o).
% 0.19/0.30 tff(pred_def_5, type, calc_datetime: ($int * $int * $int * $int * $int * $int * $int * $int * time) > $o).
% 0.19/0.30 tff(pred_def_6, type, normalize_time: ($int * $int * $int * $int * $int * $int * $int) > $o).
% 0.19/0.30 tff(pred_def_7, type, weekday: (date * day_name) > $o).
% 0.19/0.30 tff(pred_def_8, type, zeller_prep: ($int * $int * $int * $int * $int * $int) > $o).
% 0.19/0.30 tff(pred_def_9, type, map_iso: ($int * day_name) > $o).
% 0.19/0.30 tff(pred_def_10, type, map_name_to_int: (day_name * $int) > $o).
% 0.19/0.30 tff(pred_def_11, type, nth_weekday_date: ($int * day_name * $int * $int * date) > $o).
% 0.19/0.31 tff(pred_def_12, type, calc_nth_offset: ($int * $int * $int) > $o).
% 0.19/0.31 tff(pred_def_13, type, valid_day: $int > $o).
% 0.19/0.31 tff(f65,axiom,(
% 0.19/0.31 ! [X0 : $int,X1 : $int] : ((X0 = 1 | X0 = 2) => zeller_prep(X0,X1,$sum(X0,12),$difference(X1,1),$remainder_e($difference(X1,1),100),$quotient_e($difference(X1,1),100)))),
% 0.19/0.31 file('/export/starexec/sandbox2/benchmark/Axioms/TIM001_0.ax',zeller_adj_janfeb)).
% 0.19/0.31 tff(f67,axiom,(
% 0.19/0.31 ! [X0 : $int,X1 : $int,X2 : $int,X3 : day_name,X4 : $int,X5 : $int,X6 : $int,X7 : $int,X8 : $int,X9 : $int,X10 : $int] : (($greater(X0,1582) & X0 != 2024 & X0 != 2025 & X0 != 1776 & X0 != 1969 & X0 != 1985 & zeller_prep(X1,X0,X4,X5,X6,X7) & X8 = $quotient_e($product(13,$sum(X4,1)),5) & X9 = $sum(X2,$sum(X8,$sum(X6,$sum($quotient_e(X6,4),$sum($quotient_e(X7,4),$product(5,X7)))))) & X10 = $remainder_e($sum($remainder_e(X9,7),7),7) & map_iso(X10,X3)) => weekday(ymd(X0,X1,X2),X3))),
% 0.19/0.31 file('/export/starexec/sandbox2/benchmark/Axioms/TIM001_0.ax',calc_weekday_zeller)).
% 0.19/0.31 tff(f71,axiom,(
% 0.19/0.31 map_iso(3,tuesday)),
% 0.19/0.31 file('/export/starexec/sandbox2/benchmark/Axioms/TIM001_0.ax',map_3)).
% 0.19/0.31 tff(f88,conjecture,(
% 0.19/0.31 ? [X0 : day_name] : (weekday(ymd(2030,1,1),X0) & X0 = tuesday)),
% 0.19/0.31 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_2030)).
% 0.19/0.31 tff(f89,negated_conjecture,(
% 0.19/0.31 ~ ? [X0 : day_name] : (weekday(ymd(2030,1,1),X0) & X0 = tuesday)),
% 0.19/0.31 inference(negated_conjecture,[status(cth)],[f88])).
% 0.19/0.31 tff(f111,plain,(
% 0.19/0.31 ! [X0 : $int,X1 : $int] : ((X0 = 1 | X0 = 2) => zeller_prep(X0,X1,$sum(X0,12),$sum(X1,$uminus(1)),$remainder_e($sum(X1,$uminus(1)),100),$quotient_e($sum(X1,$uminus(1)),100)))),
% 0.19/0.31 inference(theory_normalization,[],[f65])).
% 0.19/0.31 tff(f112,plain,(
% 0.19/0.31 ! [X0 : $int,X1 : $int,X2 : $int,X3 : day_name,X4 : $int,X5 : $int,X6 : $int,X7 : $int,X8 : $int,X9 : $int,X10 : $int] : (($less(1582,X0) & X0 != 2024 & X0 != 2025 & X0 != 1776 & X0 != 1969 & X0 != 1985 & zeller_prep(X1,X0,X4,X5,X6,X7) & X8 = $quotient_e($product(13,$sum(X4,1)),5) & X9 = $sum(X2,$sum(X8,$sum(X6,$sum($quotient_e(X6,4),$sum($quotient_e(X7,4),$product(5,X7)))))) & X10 = $remainder_e($sum($remainder_e(X9,7),7),7) & map_iso(X10,X3)) => weekday(ymd(X0,X1,X2),X3))),
% 0.19/0.31 inference(theory_normalization,[],[f67])).
% 0.19/0.31 tff(f116,definition,(
% 0.19/0.31 ( ! [X0 : $int,X1 : $int] : ($sum(X0,X1) = $sum(X1,X0)) )),
% 0.19/0.31 introduced(theory,[tha_commutativity])).
% 0.19/0.31 tff(f188,plain,(
% 0.19/0.31 ! [X0 : $int,X1 : $int] : (zeller_prep(X0,X1,$sum(X0,12),$sum(X1,$uminus(1)),$remainder_e($sum(X1,$uminus(1)),100),$quotient_e($sum(X1,$uminus(1)),100)) | (1 != X0 & 2 != X0))),
% 0.19/0.31 inference(ennf_transformation,[],[f111])).
% 0.19/0.31 tff(f191,plain,(
% 0.19/0.31 ! [X0 : $int,X1 : $int,X2 : $int,X3 : day_name,X4 : $int,X5 : $int,X6 : $int,X7 : $int,X8 : $int,X9 : $int,X10 : $int] : (weekday(ymd(X0,X1,X2),X3) | (~$less(1582,X0) | 2024 = X0 | 2025 = X0 | 1776 = X0 | 1969 = X0 | 1985 = X0 | ~zeller_prep(X1,X0,X4,X5,X6,X7) | $quotient_e($product(13,$sum(X4,1)),5) != X8 | $sum(X2,$sum(X8,$sum(X6,$sum($quotient_e(X6,4),$sum($quotient_e(X7,4),$product(5,X7)))))) != X9 | $remainder_e($sum($remainder_e(X9,7),7),7) != X10 | ~map_iso(X10,X3)))),
% 0.19/0.31 inference(ennf_transformation,[],[f112])).
% 0.19/0.31 tff(f192,plain,(
% 0.19/0.31 ! [X0 : $int,X1 : $int,X2 : $int,X3 : day_name,X4 : $int,X5 : $int,X6 : $int,X7 : $int,X8 : $int,X9 : $int,X10 : $int] : (weekday(ymd(X0,X1,X2),X3) | ~$less(1582,X0) | 2024 = X0 | 2025 = X0 | 1776 = X0 | 1969 = X0 | 1985 = X0 | ~zeller_prep(X1,X0,X4,X5,X6,X7) | $quotient_e($product(13,$sum(X4,1)),5) != X8 | $sum(X2,$sum(X8,$sum(X6,$sum($quotient_e(X6,4),$sum($quotient_e(X7,4),$product(5,X7)))))) != X9 | $remainder_e($sum($remainder_e(X9,7),7),7) != X10 | ~map_iso(X10,X3))),
% 0.19/0.31 inference(flattening,[],[f191])).
% 0.19/0.31 tff(f203,plain,(
% 0.19/0.31 ! [X0 : day_name] : (~weekday(ymd(2030,1,1),X0) | tuesday != X0)),
% 0.19/0.31 inference(ennf_transformation,[],[f89])).
% 0.19/0.31 tff(f272,plain,(
% 0.19/0.31 ( ! [X0 : $int,X1 : $int] : (1 != X0 | zeller_prep(X0,X1,$sum(X0,12),$sum(X1,$uminus(1)),$remainder_e($sum(X1,$uminus(1)),100),$quotient_e($sum(X1,$uminus(1)),100))) )),
% 0.19/0.31 inference(cnf_transformation,[],[f188])).
% 0.19/0.31 tff(f274,plain,(
% 0.19/0.31 ( ! [X2 : $int,X3 : day_name,X10 : $int,X0 : $int,X1 : $int,X8 : $int,X6 : $int,X9 : $int,X7 : $int,X4 : $int,X5 : $int] : (~map_iso(X10,X3) | $remainder_e($sum($remainder_e(X9,7),7),7) != X10 | $sum(X2,$sum(X8,$sum(X6,$sum($quotient_e(X6,4),$sum($quotient_e(X7,4),$product(5,X7)))))) != X9 | $quotient_e($product(13,$sum(X4,1)),5) != X8 | ~zeller_prep(X1,X0,X4,X5,X6,X7) | 1985 = X0 | 1969 = X0 | 1776 = X0 | 2025 = X0 | 2024 = X0 | ~$less(1582,X0) | weekday(ymd(X0,X1,X2),X3)) )),
% 0.19/0.31 inference(cnf_transformation,[],[f192])).
% 0.19/0.31 tff(f278,plain,(
% 0.19/0.31 map_iso(3,tuesday)),
% 0.19/0.31 inference(cnf_transformation,[],[f71])).
% 0.19/0.31 tff(f296,plain,(
% 0.19/0.31 ( ! [X0 : day_name] : (tuesday != X0 | ~weekday(ymd(2030,1,1),X0)) )),
% 0.19/0.31 inference(cnf_transformation,[],[f203])).
% 0.19/0.31 tff(f316,plain,(
% 0.19/0.31 ( ! [X1 : $int] : (zeller_prep(1,X1,$sum(1,12),$sum(X1,$uminus(1)),$remainder_e($sum(X1,$uminus(1)),100),$quotient_e($sum(X1,$uminus(1)),100))) )),
% 0.19/0.31 inference(equality_resolution,[],[f272])).
% 0.19/0.31 tff(f318,plain,(
% 0.19/0.31 ( ! [X2 : $int,X3 : day_name,X0 : $int,X1 : $int,X8 : $int,X6 : $int,X9 : $int,X7 : $int,X4 : $int,X5 : $int] : (~map_iso($remainder_e($sum($remainder_e(X9,7),7),7),X3) | $sum(X2,$sum(X8,$sum(X6,$sum($quotient_e(X6,4),$sum($quotient_e(X7,4),$product(5,X7)))))) != X9 | $quotient_e($product(13,$sum(X4,1)),5) != X8 | ~zeller_prep(X1,X0,X4,X5,X6,X7) | 1985 = X0 | 1969 = X0 | 1776 = X0 | 2025 = X0 | 2024 = X0 | ~$less(1582,X0) | weekday(ymd(X0,X1,X2),X3)) )),
% 0.19/0.31 inference(equality_resolution,[],[f274])).
% 0.19/0.31 tff(f319,plain,(
% 0.19/0.31 ( ! [X2 : $int,X3 : day_name,X0 : $int,X1 : $int,X8 : $int,X6 : $int,X7 : $int,X4 : $int,X5 : $int] : (~map_iso($remainder_e($sum($remainder_e($sum(X2,$sum(X8,$sum(X6,$sum($quotient_e(X6,4),$sum($quotient_e(X7,4),$product(5,X7)))))),7),7),7),X3) | $quotient_e($product(13,$sum(X4,1)),5) != X8 | ~zeller_prep(X1,X0,X4,X5,X6,X7) | 1985 = X0 | 1969 = X0 | 1776 = X0 | 2025 = X0 | 2024 = X0 | ~$less(1582,X0) | weekday(ymd(X0,X1,X2),X3)) )),
% 0.19/0.31 inference(equality_resolution,[],[f318])).
% 0.19/0.31 tff(f320,plain,(
% 0.19/0.31 ( ! [X2 : $int,X3 : day_name,X0 : $int,X1 : $int,X6 : $int,X7 : $int,X4 : $int,X5 : $int] : (~map_iso($remainder_e($sum($remainder_e($sum(X2,$sum($quotient_e($product(13,$sum(X4,1)),5),$sum(X6,$sum($quotient_e(X6,4),$sum($quotient_e(X7,4),$product(5,X7)))))),7),7),7),X3) | ~zeller_prep(X1,X0,X4,X5,X6,X7) | 1985 = X0 | 1969 = X0 | 1776 = X0 | 2025 = X0 | 2024 = X0 | ~$less(1582,X0) | weekday(ymd(X0,X1,X2),X3)) )),
% 0.19/0.31 inference(equality_resolution,[],[f319])).
% 0.19/0.31 tff(f321,plain,(
% 0.19/0.31 ~weekday(ymd(2030,1,1),tuesday)),
% 0.19/0.31 inference(equality_resolution,[],[f296])).
% 0.19/0.31 tff(f362,plain,(
% 0.19/0.31 ( ! [X2 : $int,X3 : day_name,X0 : $int,X1 : $int,X6 : $int,X7 : $int,X4 : $int,X5 : $int] : (~map_iso($remainder_e($sum($remainder_e($sum(X2,$sum($quotient_e($product(13,$sum(X4,1)),5),$sum(X6,$sum($quotient_e(X6,4),$sum($quotient_e(X7,4),$product(5,X7)))))),7),7),7),X3) | ~zeller_prep(X1,X0,X4,X5,X6,X7) | 1985 = X0 | 1969 = X0 | 1776 = X0 | 2025 = X0 | 2024 = X0 | ~$less(1582,X0) | ~weekday(ymd(X0,X1,X2),X3)) )),
% 0.19/0.31 inference(consistent_polarity_flipping,[],[f320])).
% 0.19/0.31 tff(f370,plain,(
% 0.19/0.31 weekday(ymd(2030,1,1),tuesday)),
% 0.19/0.31 inference(consistent_polarity_flipping,[],[f321])).
% 0.19/0.31 tff(f375,plain,(
% 0.19/0.31 ( ! [X1 : $int] : (zeller_prep(1,X1,13,$sum(X1,-1),$remainder_e($sum(X1,-1),100),$quotient_e($sum(X1,-1),100))) )),
% 0.19/0.31 inference(evaluation,[],[f316])).
% 0.19/0.31 tff(f1097,plain,(
% 0.19/0.31 ( ! [X2 : $int,X3 : day_name,X0 : $int,X1 : $int,X6 : $int,X7 : $int,X4 : $int,X5 : $int] : (~weekday(ymd(X0,X1,X2),X3) | ~zeller_prep(X1,X0,X4,X5,X6,X7) | 1985 = X0 | 1969 = X0 | 1776 = X0 | 2025 = X0 | 2024 = X0 | ~$less(1582,X0) | ~map_iso($remainder_e($sum(7,$remainder_e($sum(X2,$sum($quotient_e($product(13,$sum(X4,1)),5),$sum(X6,$sum($quotient_e(X6,4),$sum($quotient_e(X7,4),$product(5,X7)))))),7)),7),X3)) )),
% 0.19/0.31 inference(forward_demodulation,[],[f362,f116])).
% 0.19/0.31 tff(f1098,plain,(
% 0.19/0.31 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (~zeller_prep(1,2030,X0,X1,X2,X3) | 1985 = 2030 | 1969 = 2030 | 1776 = 2030 | 2025 = 2030 | 2024 = 2030 | ~$less(1582,2030) | ~map_iso($remainder_e($sum(7,$remainder_e($sum(1,$sum($quotient_e($product(13,$sum(X0,1)),5),$sum(X2,$sum($quotient_e(X2,4),$sum($quotient_e(X3,4),$product(5,X3)))))),7)),7),tuesday)) )),
% 0.19/0.31 inference(resolution,[],[f1097,f370])).
% 0.19/0.31 tff(f1103,plain,(
% 0.19/0.31 ( ! [X2 : $int,X3 : $int,X0 : $int,X1 : $int] : (~zeller_prep(1,2030,X0,X1,X2,X3) | ~map_iso($remainder_e($sum(7,$remainder_e($sum(1,$sum($quotient_e($product(13,$sum(X0,1)),5),$sum(X2,$sum($quotient_e(X2,4),$sum($quotient_e(X3,4),$product(5,X3)))))),7)),7),tuesday)) )),
% 0.19/0.31 inference(evaluation,[],[f1098])).
% 0.19/0.31 tff(f1104,plain,(
% 0.19/0.31 ~map_iso($remainder_e($sum(7,$remainder_e($sum(1,$sum($quotient_e($product(13,$sum(13,1)),5),$sum($remainder_e($sum(2030,-1),100),$sum($quotient_e($remainder_e($sum(2030,-1),100),4),$sum($quotient_e($quotient_e($sum(2030,-1),100),4),$product(5,$quotient_e($sum(2030,-1),100))))))),7)),7),tuesday)),
% 0.19/0.31 inference(resolution,[],[f1103,f375])).
% 0.19/0.31 tff(f1106,plain,(
% 0.19/0.31 ~map_iso(3,tuesday)),
% 0.19/0.31 inference(evaluation,[],[f1104])).
% 0.19/0.31 tff(f1107,plain,(
% 0.19/0.31 $false),
% 0.19/0.31 inference(forward_subsumption_resolution,[],[f1106,f278])).
% 0.19/0.31 % SZS output end Proof for theBenchmark
% 0.19/0.31 % (3871657)------------------------------
% 0.19/0.31 % (3871657)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.31 % (3871657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.31 % (3871657)CaDiCaL version: 2.1.3
% 0.19/0.31 % (3871657)Termination reason: Refutation
% 0.19/0.31 % (3871657)Time elapsed: 0.035 s
% 0.19/0.31 % (3871657)Peak memory usage: 13 MB
% 0.19/0.31 % (3871657)Instructions burned: 54 (million)
% 0.19/0.31 % (3871646)Success in time 0.073 s
% 0.19/0.31 % Vampire exiting
%------------------------------------------------------------------------------