%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : PUZ005-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n002.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 : Fri Sep 25 02:31:49 PM UTC 2026
% Result : Unsatisfiable 3.97s 6.08s
% Output : Proof 3.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 21
% Syntax : Number of formulae : 121 ( 16 unt; 0 def)
% Number of atoms : 304 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 288 ( 105 ~; 183 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 aty)
% Number of variables : 90 ( 0 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f44,axiom,
( member(Y,lying_days(T))
| ~ admits(T,X,Y)
| member(X,lying_days(T)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',admissions1) ).
fof(f44_nnf,plain,
! [X,T,Y] :
( member(Y,lying_days(T))
| ~ admits(T,X,Y)
| member(X,lying_days(T)) ),
inference(nnf_transformation,[status(thm)],[f44]) ).
fof(f44_sk,plain,
! [X,T,Y] :
( member(Y,lying_days(T))
| ~ admits(T,X,Y)
| member(X,lying_days(T)) ),
inference(skolemisation,[status(esa)],[f44_nnf]) ).
cnf(c44,plain,
( member(X2,lying_days(X1))
| ~ admits(X1,X0,X2)
| member(X0,lying_days(X1)) ),
inference(cnf_transformation,[status(esa)],[f44_sk]) ).
cnf(f49,axiom,
admits(unicorn,today,yesterday(today)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',admissions6) ).
fof(f49_nnf,plain,
admits(unicorn,today,yesterday(today)),
inference(nnf_transformation,[status(thm)],[f49]) ).
cnf(c49,plain,
admits(unicorn,today,yesterday(today)),
inference(cnf_transformation,[status(esa)],[f49_nnf]) ).
cnf(p55,plain,
( member(yesterday(today),lying_days(unicorn))
| member(today,lying_days(unicorn)) ),
inference(resolution,[status(thm)],[c44,c49]) ).
cnf(f37,axiom,
( saturday(X)
| friday(X)
| thursday(X)
| ~ member(X,lying_days(unicorn)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unicorns_lying_days) ).
fof(f37_nnf,plain,
! [X] :
( saturday(X)
| friday(X)
| thursday(X)
| ~ member(X,lying_days(unicorn)) ),
inference(nnf_transformation,[status(thm)],[f37]) ).
fof(f37_sk,plain,
! [X] :
( saturday(X)
| friday(X)
| thursday(X)
| ~ member(X,lying_days(unicorn)) ),
inference(skolemisation,[status(esa)],[f37_nnf]) ).
cnf(c37,plain,
( saturday(X0)
| friday(X0)
| thursday(X0)
| ~ member(X0,lying_days(unicorn)) ),
inference(cnf_transformation,[status(esa)],[f37_sk]) ).
cnf(p58,plain,
( saturday(yesterday(today))
| friday(yesterday(today))
| thursday(yesterday(today))
| member(today,lying_days(unicorn)) ),
inference(resolution,[status(thm)],[p55,c37]) ).
cnf(p79,plain,
( saturday(today)
| friday(today)
| thursday(today)
| saturday(yesterday(today))
| friday(yesterday(today))
| thursday(yesterday(today)) ),
inference(resolution,[status(thm)],[p58,c37]) ).
cnf(f21,axiom,
( ~ sunday(X)
| ~ saturday(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',saturday_not_sunday) ).
fof(f21_nnf,plain,
! [X] :
( ~ sunday(X)
| ~ saturday(X) ),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
! [X] :
( ~ sunday(X)
| ~ saturday(X) ),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
( ~ sunday(X0)
| ~ saturday(X0) ),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(p158,plain,
( ~ sunday(yesterday(today))
| saturday(today)
| friday(today)
| thursday(today)
| friday(yesterday(today))
| thursday(yesterday(today)) ),
inference(resolution,[status(thm)],[p79,c21]) ).
cnf(f48,axiom,
admits(lion,today,yesterday(today)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',admissions5) ).
fof(f48_nnf,plain,
admits(lion,today,yesterday(today)),
inference(nnf_transformation,[status(thm)],[f48]) ).
cnf(c48,plain,
admits(lion,today,yesterday(today)),
inference(cnf_transformation,[status(esa)],[f48_nnf]) ).
cnf(p54,plain,
( member(yesterday(today),lying_days(lion))
| member(today,lying_days(lion)) ),
inference(resolution,[status(thm)],[c44,c48]) ).
cnf(f36,axiom,
( wednesday(X)
| tuesday(X)
| monday(X)
| ~ member(X,lying_days(lion)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lions_lying_days) ).
fof(f36_nnf,plain,
! [X] :
( wednesday(X)
| tuesday(X)
| monday(X)
| ~ member(X,lying_days(lion)) ),
inference(nnf_transformation,[status(thm)],[f36]) ).
fof(f36_sk,plain,
! [X] :
( wednesday(X)
| tuesday(X)
| monday(X)
| ~ member(X,lying_days(lion)) ),
inference(skolemisation,[status(esa)],[f36_nnf]) ).
cnf(c36,plain,
( wednesday(X0)
| tuesday(X0)
| monday(X0)
| ~ member(X0,lying_days(lion)) ),
inference(cnf_transformation,[status(esa)],[f36_sk]) ).
cnf(p56,plain,
( wednesday(yesterday(today))
| tuesday(yesterday(today))
| monday(yesterday(today))
| member(today,lying_days(lion)) ),
inference(resolution,[status(thm)],[p54,c36]) ).
cnf(p74,plain,
( wednesday(today)
| tuesday(today)
| monday(today)
| wednesday(yesterday(today))
| tuesday(yesterday(today))
| monday(yesterday(today)) ),
inference(resolution,[status(thm)],[p56,c36]) ).
cnf(f24,axiom,
( thursday(X)
| ~ wednesday(yesterday(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',wednesday_yesterday) ).
fof(f24_nnf,plain,
! [X] :
( thursday(X)
| ~ wednesday(yesterday(X)) ),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
! [X] :
( thursday(X)
| ~ wednesday(yesterday(X)) ),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c24,plain,
( thursday(X0)
| ~ wednesday(yesterday(X0)) ),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(p90,plain,
( thursday(today)
| wednesday(today)
| tuesday(today)
| monday(today)
| tuesday(yesterday(today))
| monday(yesterday(today)) ),
inference(resolution,[status(thm)],[p74,c24]) ).
cnf(f23,axiom,
( wednesday(X)
| ~ tuesday(yesterday(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tuesday_yesterday) ).
fof(f23_nnf,plain,
! [X] :
( wednesday(X)
| ~ tuesday(yesterday(X)) ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
! [X] :
( wednesday(X)
| ~ tuesday(yesterday(X)) ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
( wednesday(X0)
| ~ tuesday(yesterday(X0)) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(p96,plain,
( wednesday(today)
| thursday(today)
| wednesday(today)
| tuesday(today)
| monday(today)
| monday(yesterday(today)) ),
inference(resolution,[status(thm)],[p90,c23]) ).
cnf(p102,plain,
( thursday(today)
| wednesday(today)
| tuesday(today)
| monday(today)
| monday(yesterday(today)) ),
inference(factoring,[status(thm)],[p96]) ).
cnf(f22,axiom,
( tuesday(X)
| ~ monday(yesterday(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_yesterday) ).
fof(f22_nnf,plain,
! [X] :
( tuesday(X)
| ~ monday(yesterday(X)) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [X] :
( tuesday(X)
| ~ monday(yesterday(X)) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
( tuesday(X0)
| ~ monday(yesterday(X0)) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(p106,plain,
( tuesday(today)
| thursday(today)
| wednesday(today)
| tuesday(today)
| monday(today) ),
inference(resolution,[status(thm)],[p102,c22]) ).
cnf(p109,plain,
( thursday(today)
| wednesday(today)
| tuesday(today)
| monday(today) ),
inference(factoring,[status(thm)],[p106]) ).
cnf(f50,negated_conjecture,
~ thursday(today),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_today_is_thursday) ).
fof(f50_nnf,plain,
~ thursday(today),
inference(nnf_transformation,[status(thm)],[f50]) ).
fof(f50_sk,plain,
~ thursday(today),
inference(skolemisation,[status(esa)],[f50_nnf]) ).
cnf(c50,plain,
~ thursday(today),
inference(cnf_transformation,[status(esa)],[f50_sk]) ).
cnf(p110,plain,
( wednesday(today)
| tuesday(today)
| monday(today) ),
inference(resolution,[status(thm)],[p109,c50]) ).
cnf(f40,axiom,
( member(X,lying_days(lion))
| ~ wednesday(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_wednesday) ).
fof(f40_nnf,plain,
! [X] :
( member(X,lying_days(lion))
| ~ wednesday(X) ),
inference(nnf_transformation,[status(thm)],[f40]) ).
fof(f40_sk,plain,
! [X] :
( member(X,lying_days(lion))
| ~ wednesday(X) ),
inference(skolemisation,[status(esa)],[f40_nnf]) ).
cnf(c40,plain,
( member(X0,lying_days(lion))
| ~ wednesday(X0) ),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(p119,plain,
( member(today,lying_days(lion))
| tuesday(today)
| monday(today) ),
inference(resolution,[status(thm)],[p110,c40]) ).
cnf(f46,axiom,
( ~ member(Y,lying_days(T))
| ~ admits(T,X,Y)
| ~ member(X,lying_days(T)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',admissions3) ).
fof(f46_nnf,plain,
! [X,T,Y] :
( ~ member(Y,lying_days(T))
| ~ admits(T,X,Y)
| ~ member(X,lying_days(T)) ),
inference(nnf_transformation,[status(thm)],[f46]) ).
fof(f46_sk,plain,
! [X,T,Y] :
( ~ member(Y,lying_days(T))
| ~ admits(T,X,Y)
| ~ member(X,lying_days(T)) ),
inference(skolemisation,[status(esa)],[f46_nnf]) ).
cnf(c46,plain,
( ~ member(X2,lying_days(X1))
| ~ admits(X1,X0,X2)
| ~ member(X0,lying_days(X1)) ),
inference(cnf_transformation,[status(esa)],[f46_sk]) ).
cnf(p135,plain,
( ~ member(X0,lying_days(lion))
| ~ admits(lion,today,X0)
| tuesday(today)
| monday(today) ),
inference(resolution,[status(thm)],[p119,c46]) ).
cnf(p176,plain,
( ~ member(yesterday(today),lying_days(lion))
| tuesday(today)
| monday(today) ),
inference(resolution,[status(thm)],[p135,c48]) ).
cnf(f30,axiom,
( ~ wednesday(X)
| tuesday(yesterday(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',yesterday_tuesday) ).
fof(f30_nnf,plain,
! [X] :
( ~ wednesday(X)
| tuesday(yesterday(X)) ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [X] :
( ~ wednesday(X)
| tuesday(yesterday(X)) ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
( ~ wednesday(X0)
| tuesday(yesterday(X0)) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(p118,plain,
( tuesday(yesterday(today))
| tuesday(today)
| monday(today) ),
inference(resolution,[status(thm)],[p110,c30]) ).
cnf(f39,axiom,
( member(X,lying_days(lion))
| ~ tuesday(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_tuesday) ).
fof(f39_nnf,plain,
! [X] :
( member(X,lying_days(lion))
| ~ tuesday(X) ),
inference(nnf_transformation,[status(thm)],[f39]) ).
fof(f39_sk,plain,
! [X] :
( member(X,lying_days(lion))
| ~ tuesday(X) ),
inference(skolemisation,[status(esa)],[f39_nnf]) ).
cnf(c39,plain,
( member(X0,lying_days(lion))
| ~ tuesday(X0) ),
inference(cnf_transformation,[status(esa)],[f39_sk]) ).
cnf(p129,plain,
( member(yesterday(today),lying_days(lion))
| tuesday(today)
| monday(today) ),
inference(resolution,[status(thm)],[p118,c39]) ).
cnf(p177,plain,
( tuesday(today)
| monday(today)
| tuesday(today)
| monday(today) ),
inference(resolution,[status(thm)],[p176,p129]) ).
cnf(p178,plain,
( tuesday(today)
| tuesday(today)
| monday(today) ),
inference(factoring,[status(thm)],[p177]) ).
cnf(p180,plain,
( tuesday(today)
| monday(today) ),
inference(factoring,[status(thm)],[p178]) ).
cnf(p186,plain,
( member(today,lying_days(lion))
| monday(today) ),
inference(resolution,[status(thm)],[p180,c39]) ).
cnf(p207,plain,
( ~ member(X0,lying_days(lion))
| ~ admits(lion,today,X0)
| monday(today) ),
inference(resolution,[status(thm)],[p186,c46]) ).
cnf(p250,plain,
( ~ member(yesterday(today),lying_days(lion))
| monday(today) ),
inference(resolution,[status(thm)],[p207,c48]) ).
cnf(f29,axiom,
( ~ tuesday(X)
| monday(yesterday(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',yesterday_monday) ).
fof(f29_nnf,plain,
! [X] :
( ~ tuesday(X)
| monday(yesterday(X)) ),
inference(nnf_transformation,[status(thm)],[f29]) ).
fof(f29_sk,plain,
! [X] :
( ~ tuesday(X)
| monday(yesterday(X)) ),
inference(skolemisation,[status(esa)],[f29_nnf]) ).
cnf(c29,plain,
( ~ tuesday(X0)
| monday(yesterday(X0)) ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(p185,plain,
( monday(yesterday(today))
| monday(today) ),
inference(resolution,[status(thm)],[p180,c29]) ).
cnf(f38,axiom,
( member(X,lying_days(lion))
| ~ monday(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',lion_lies_on_monday) ).
fof(f38_nnf,plain,
! [X] :
( member(X,lying_days(lion))
| ~ monday(X) ),
inference(nnf_transformation,[status(thm)],[f38]) ).
fof(f38_sk,plain,
! [X] :
( member(X,lying_days(lion))
| ~ monday(X) ),
inference(skolemisation,[status(esa)],[f38_nnf]) ).
cnf(c38,plain,
( member(X0,lying_days(lion))
| ~ monday(X0) ),
inference(cnf_transformation,[status(esa)],[f38_sk]) ).
cnf(p196,plain,
( member(yesterday(today),lying_days(lion))
| monday(today) ),
inference(resolution,[status(thm)],[p185,c38]) ).
cnf(p251,plain,
( monday(today)
| monday(today) ),
inference(resolution,[status(thm)],[p250,p196]) ).
cnf(p252,plain,
monday(today),
inference(factoring,[status(thm)],[p251]) ).
cnf(f35,axiom,
( ~ monday(X)
| sunday(yesterday(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',yesterday_sunday) ).
fof(f35_nnf,plain,
! [X] :
( ~ monday(X)
| sunday(yesterday(X)) ),
inference(nnf_transformation,[status(thm)],[f35]) ).
fof(f35_sk,plain,
! [X] :
( ~ monday(X)
| sunday(yesterday(X)) ),
inference(skolemisation,[status(esa)],[f35_nnf]) ).
cnf(c35,plain,
( ~ monday(X0)
| sunday(yesterday(X0)) ),
inference(cnf_transformation,[status(esa)],[f35_sk]) ).
cnf(p258,plain,
sunday(yesterday(today)),
inference(resolution,[status(thm)],[p252,c35]) ).
cnf(p316,plain,
( saturday(today)
| friday(today)
| thursday(today)
| friday(yesterday(today))
| thursday(yesterday(today)) ),
inference(resolution,[status(thm)],[p158,p258]) ).
cnf(f26,axiom,
( saturday(X)
| ~ friday(yesterday(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',friday_yesterday) ).
fof(f26_nnf,plain,
! [X] :
( saturday(X)
| ~ friday(yesterday(X)) ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
! [X] :
( saturday(X)
| ~ friday(yesterday(X)) ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c26,plain,
( saturday(X0)
| ~ friday(yesterday(X0)) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(p395,plain,
( saturday(today)
| saturday(today)
| friday(today)
| thursday(today)
| thursday(yesterday(today)) ),
inference(resolution,[status(thm)],[p316,c26]) ).
cnf(p398,plain,
( saturday(today)
| friday(today)
| thursday(today)
| thursday(yesterday(today)) ),
inference(factoring,[status(thm)],[p395]) ).
cnf(f25,axiom,
( friday(X)
| ~ thursday(yesterday(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',thursday_yesterday) ).
fof(f25_nnf,plain,
! [X] :
( friday(X)
| ~ thursday(yesterday(X)) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [X] :
( friday(X)
| ~ thursday(yesterday(X)) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
( friday(X0)
| ~ thursday(yesterday(X0)) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(p401,plain,
( friday(today)
| saturday(today)
| friday(today)
| thursday(today) ),
inference(resolution,[status(thm)],[p398,c25]) ).
cnf(p404,plain,
( saturday(today)
| friday(today)
| thursday(today) ),
inference(factoring,[status(thm)],[p401]) ).
cnf(f5,axiom,
( ~ saturday(X)
| ~ monday(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_not_saturday) ).
fof(f5_nnf,plain,
! [X] :
( ~ saturday(X)
| ~ monday(X) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [X] :
( ~ saturday(X)
| ~ monday(X) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( ~ saturday(X0)
| ~ monday(X0) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(p256,plain,
~ saturday(today),
inference(resolution,[status(thm)],[p252,c5]) ).
cnf(p407,plain,
( friday(today)
| thursday(today) ),
inference(resolution,[status(thm)],[p404,p256]) ).
cnf(f4,axiom,
( ~ friday(X)
| ~ monday(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',monday_not_friday) ).
fof(f4_nnf,plain,
! [X] :
( ~ friday(X)
| ~ monday(X) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X] :
( ~ friday(X)
| ~ monday(X) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( ~ friday(X0)
| ~ monday(X0) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p255,plain,
~ friday(today),
inference(resolution,[status(thm)],[p252,c4]) ).
cnf(p410,plain,
thursday(today),
inference(resolution,[status(thm)],[p407,p255]) ).
cnf(p411,plain,
$false,
inference(resolution,[status(thm)],[p410,c50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PUZ005-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/5.34 % Computer : n002.cluster.edu
% 0.08/5.34 % Model : x86_64 x86_64
% 0.08/5.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.34 % Memory : 8046.5625MB
% 0.08/5.34 % OS : Linux 6.8.0-71-generic
% 0.08/5.34 % CPULimit : 300
% 0.08/5.34 % WCLimit : 300
% 0.08/5.34 % DateTime : Thu Sep 24 06:39:09 UTC 2026
% 0.08/5.35 % CPUTime :
% 0.08/5.35 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.97/6.08 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.97/6.08 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
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