%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ005+1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 : Thu Sep 24 01:59:49 PM UTC 2026
% Result : Theorem 0.02s 0.62s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 19
% Syntax : Number of formulae : 78 ( 13 unt; 6 def)
% Number of atoms : 178 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 179 ( 79 ~; 73 |; 6 &)
% ( 6 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 7 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 50 ( 48 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
thursday(a_thursday),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] :
( wednesday(X)
=> day(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X] :
( thursday(X)
=> day(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
! [X] :
( thursday(X)
=> wednesday(yesterday(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
! [X] :
( wednesday(X)
=> lion_lies(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [X] :
( thursday(X)
=> ~ lion_lies(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
! [X] :
( wednesday(X)
=> ~ unicorn_lies(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
! [X] :
( thursday(X)
=> unicorn_lies(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,axiom,
! [X] :
( lion_lies(X)
=> day(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [X] :
( unicorn_lies(X)
=> day(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [X] :
( day(X)
=> ! [Y] :
( day(Y)
=> ( ( ~ lies_on_one_of(a_lion,X,Y)
& ~ lion_lies(X) )
=> ~ lion_lies(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f45,axiom,
! [X] :
( day(X)
=> ! [Y] :
( day(Y)
=> ( ( ~ lies_on_one_of(a_unicorn,X,Y)
& unicorn_lies(X) )
=> unicorn_lies(Y) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f46,conjecture,
? [X] :
( lies_on_one_of(a_unicorn,X,yesterday(X))
& lies_on_one_of(a_lion,X,yesterday(X))
& day(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,negated_conjecture,
~ ? [X] :
( lies_on_one_of(a_unicorn,X,yesterday(X))
& lies_on_one_of(a_lion,X,yesterday(X))
& day(X) ),
inference(negated_conjecture,[status(cth)],[f46]) ).
fof(f51,plain,
thursday(a_thursday),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f59,plain,
! [X] :
( day(X)
| ~ wednesday(X) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f60,plain,
! [X0] :
( day(X0)
| ~ wednesday(X0) ),
inference(cnf_transformation,[status(thm)],[f59]) ).
fof(f61,plain,
! [X] :
( day(X)
| ~ thursday(X) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f62,plain,
! [X0] :
( day(X0)
| ~ thursday(X0) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f75,plain,
! [X] :
( wednesday(yesterday(X))
| ~ thursday(X) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f76,plain,
! [X0] :
( wednesday(yesterday(X0))
| ~ thursday(X0) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f87,plain,
! [X] :
( lion_lies(X)
| ~ wednesday(X) ),
inference(pre_NNF_transformation,[status(thm)],[f24]) ).
fof(f88,plain,
! [X0] :
( lion_lies(X0)
| ~ wednesday(X0) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f89,plain,
! [X] :
( ~ lion_lies(X)
| ~ thursday(X) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f90,plain,
! [X0] :
( ~ lion_lies(X0)
| ~ thursday(X0) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f101,plain,
! [X] :
( ~ unicorn_lies(X)
| ~ wednesday(X) ),
inference(pre_NNF_transformation,[status(thm)],[f31]) ).
fof(f102,plain,
! [X0] :
( ~ unicorn_lies(X0)
| ~ wednesday(X0) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f103,plain,
! [X] :
( unicorn_lies(X)
| ~ thursday(X) ),
inference(pre_NNF_transformation,[status(thm)],[f32]) ).
fof(f104,plain,
! [X0] :
( unicorn_lies(X0)
| ~ thursday(X0) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f111,plain,
! [X] :
( day(X)
| ~ lion_lies(X) ),
inference(pre_NNF_transformation,[status(thm)],[f36]) ).
fof(f112,plain,
! [X0] :
( day(X0)
| ~ lion_lies(X0) ),
inference(cnf_transformation,[status(thm)],[f111]) ).
fof(f113,plain,
! [X] :
( day(X)
| ~ unicorn_lies(X) ),
inference(pre_NNF_transformation,[status(thm)],[f37]) ).
fof(f114,plain,
! [X0] :
( day(X0)
| ~ unicorn_lies(X0) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f119,plain,
! [X] :
( ! [Y] :
( ~ lion_lies(Y)
| lies_on_one_of(a_lion,X,Y)
| lion_lies(X)
| ~ day(Y) )
| ~ day(X) ),
inference(pre_NNF_transformation,[status(thm)],[f40]) ).
fof(f120,plain,
! [X0,X1] :
( ~ lion_lies(X1)
| lies_on_one_of(a_lion,X0,X1)
| lion_lies(X0)
| ~ day(X1)
| ~ day(X0) ),
inference(cnf_transformation,[status(thm)],[f119]) ).
fof(f129,plain,
! [X] :
( ! [Y] :
( unicorn_lies(Y)
| lies_on_one_of(a_unicorn,X,Y)
| ~ unicorn_lies(X)
| ~ day(Y) )
| ~ day(X) ),
inference(pre_NNF_transformation,[status(thm)],[f45]) ).
fof(f130,plain,
! [X0,X1] :
( unicorn_lies(X1)
| lies_on_one_of(a_unicorn,X0,X1)
| ~ unicorn_lies(X0)
| ~ day(X1)
| ~ day(X0) ),
inference(cnf_transformation,[status(thm)],[f129]) ).
fof(f131,plain,
! [X] :
( ~ lies_on_one_of(a_unicorn,X,yesterday(X))
| ~ lies_on_one_of(a_lion,X,yesterday(X))
| ~ day(X) ),
inference(pre_NNF_transformation,[status(thm)],[f47]) ).
fof(f132,plain,
! [X0] :
( ~ lies_on_one_of(a_unicorn,X0,yesterday(X0))
| ~ lies_on_one_of(a_lion,X0,yesterday(X0))
| ~ day(X0) ),
inference(cnf_transformation,[status(thm)],[f131]) ).
fof(f244,plain,
day(a_thursday),
inference(resolution,[status(thm)],[f62,f51]) ).
fof(f412,definition,
( sQ49_spl
<=> lion_lies(a_thursday) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f413,plain,
( ~ sQ49_spl
| lion_lies(a_thursday) ),
inference(component_clause,[status(thm)],[f412]) ).
fof(f526,plain,
~ lion_lies(a_thursday),
inference(resolution,[status(thm)],[f90,f51]) ).
fof(f661,definition,
( sQ77_spl
<=> day(a_thursday) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f663,plain,
( sQ77_spl
| ~ day(a_thursday) ),
inference(component_clause,[status(thm)],[f661]) ).
fof(f671,plain,
unicorn_lies(a_thursday),
inference(resolution,[status(thm)],[f104,f51]) ).
fof(f697,plain,
( sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f663,f244]) ).
fof(f698,plain,
sQ77_spl,
inference(contradiction_clause,[status(thm)],[f697]) ).
fof(f743,plain,
! [X0,X1] :
( ~ lion_lies(X1)
| lies_on_one_of(a_lion,X0,X1)
| lion_lies(X0)
| ~ day(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f120,f112]) ).
fof(f774,plain,
! [X0,X1] :
( unicorn_lies(X0)
| lies_on_one_of(a_unicorn,X1,X0)
| ~ unicorn_lies(X1)
| ~ day(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f130,f114]) ).
fof(f777,plain,
! [X0] :
( unicorn_lies(X0)
| lies_on_one_of(a_unicorn,a_thursday,X0)
| ~ day(X0) ),
inference(resolution,[status(thm)],[f774,f671]) ).
fof(f816,plain,
( ~ sQ49_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f413,f526]) ).
fof(f817,plain,
~ sQ49_spl,
inference(contradiction_clause,[status(thm)],[f816]) ).
fof(f929,plain,
! [X0] :
( ~ thursday(X0)
| lion_lies(yesterday(X0)) ),
inference(resolution,[status(thm)],[f88,f76]) ).
fof(f945,plain,
! [X0] :
( ~ thursday(X0)
| ~ unicorn_lies(yesterday(X0)) ),
inference(resolution,[status(thm)],[f102,f76]) ).
fof(f1053,plain,
( ~ lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday))
| ~ day(a_thursday)
| unicorn_lies(yesterday(a_thursday))
| ~ day(yesterday(a_thursday)) ),
inference(resolution,[status(thm)],[f777,f132]) ).
fof(f1061,definition,
( sQ91_spl
<=> day(yesterday(a_thursday)) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f1063,plain,
( sQ91_spl
| ~ day(yesterday(a_thursday)) ),
inference(component_clause,[status(thm)],[f1061]) ).
fof(f1064,definition,
( sQ92_spl
<=> unicorn_lies(yesterday(a_thursday)) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f1065,plain,
( ~ sQ92_spl
| unicorn_lies(yesterday(a_thursday)) ),
inference(component_clause,[status(thm)],[f1064]) ).
fof(f1067,definition,
( sQ93_spl
<=> lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday)) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f1069,plain,
( sQ93_spl
| ~ lies_on_one_of(a_lion,a_thursday,yesterday(a_thursday)) ),
inference(component_clause,[status(thm)],[f1067]) ).
fof(f1070,plain,
( ~ sQ93_spl
| ~ sQ77_spl
| sQ92_spl
| ~ sQ91_spl ),
inference(split_clause,[status(thm)],[f1053,f1061,f1064,f661,f1067]) ).
fof(f1104,plain,
( sQ93_spl
| ~ lion_lies(yesterday(a_thursday))
| lion_lies(a_thursday)
| ~ day(a_thursday) ),
inference(resolution,[status(thm)],[f1069,f743]) ).
fof(f1105,definition,
( sQ95_spl
<=> lion_lies(yesterday(a_thursday)) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f1107,plain,
( sQ95_spl
| ~ lion_lies(yesterday(a_thursday)) ),
inference(component_clause,[status(thm)],[f1105]) ).
fof(f1109,plain,
( sQ93_spl
| ~ sQ95_spl
| sQ49_spl
| ~ sQ77_spl ),
inference(split_clause,[status(thm)],[f1104,f661,f412,f1105,f1067]) ).
fof(f1114,plain,
( sQ91_spl
| ~ wednesday(yesterday(a_thursday)) ),
inference(resolution,[status(thm)],[f1063,f60]) ).
fof(f1123,plain,
( sQ91_spl
| ~ thursday(a_thursday) ),
inference(resolution,[status(thm)],[f1114,f76]) ).
fof(f1124,plain,
( sQ91_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1123,f51]) ).
fof(f1125,plain,
sQ91_spl,
inference(contradiction_clause,[status(thm)],[f1124]) ).
fof(f1212,plain,
lion_lies(yesterday(a_thursday)),
inference(resolution,[status(thm)],[f929,f51]) ).
fof(f1213,plain,
( sQ95_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1212,f1107]) ).
fof(f1214,plain,
sQ95_spl,
inference(contradiction_clause,[status(thm)],[f1213]) ).
fof(f1316,plain,
~ unicorn_lies(yesterday(a_thursday)),
inference(resolution,[status(thm)],[f945,f51]) ).
fof(f1317,plain,
( ~ sQ92_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1316,f1065]) ).
fof(f1318,plain,
~ sQ92_spl,
inference(contradiction_clause,[status(thm)],[f1317]) ).
fof(f1319,plain,
$false,
inference(sat_refutation,[status(thm)],[f698,f817,f1070,f1109,f1125,f1214,f1318]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ005+1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.55 % Computer : n009.cluster.edu
% 0.09/0.55 % Model : x86_64 x86_64
% 0.09/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.55 % Memory : 8046.5625MB
% 0.09/0.55 % OS : Linux 6.8.0-71-generic
% 0.09/0.55 % CPULimit : 300
% 0.09/0.55 % WCLimit : 300
% 0.09/0.55 % DateTime : Mon Sep 21 03:44:42 UTC 2026
% 0.02/0.56 % CPUTime :
% 0.02/0.56 % Drodi V4.1.1
% 0.02/0.62 % Refutation found
% 0.02/0.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.02/0.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.63 % Elapsed time: 0.067466 seconds
% 0.14/0.63 % CPU time: 0.275474 seconds
% 0.14/0.63 % Total memory used: 20.280 MB
% 0.14/0.63 % Net memory used: 20.136 MB
%------------------------------------------------------------------------------