%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ001-2 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 5 05:02:03 PM UTC 2026
% Result : Unsatisfiable 1.24s 1.72s
% Output : CNFRefutation 1.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of clauses : 36 ( 17 unt; 10 nHn; 32 RR)
% Number of literals : 62 ( 21 equ; 24 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(killer_hates_victim,axiom,
( hates(X1,X2)
| ~ killed(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',killer_hates_victim) ).
cnf(someone_killed_agatha,axiom,
killed(someone,aunt_agatha),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',someone_killed_agatha) ).
cnf(noone_else_lives_at_mansion,axiom,
( X1 = aunt_agatha
| X1 = butler
| X1 = charles
| ~ lives_at_dreadsbury(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',noone_else_lives_at_mansion) ).
cnf(someone_in_mansion,axiom,
lives_at_dreadsbury(someone),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',someone_in_mansion) ).
cnf(noone_hates_everyone,axiom,
~ hates(X1,every_one_but(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',noone_hates_everyone) ).
cnf(butler_and_agatha_hate_the_same_people,axiom,
( hates(butler,X1)
| ~ hates(aunt_agatha,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',butler_and_agatha_hate_the_same_people) ).
cnf(killer_poorer_than_victim,axiom,
( ~ killed(X1,X2)
| ~ richer(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',killer_poorer_than_victim) ).
cnf(butler_hates_poor_people,axiom,
( richer(X1,aunt_agatha)
| hates(butler,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',butler_hates_poor_people) ).
cnf(charles_and_agatha_hate_different_people,axiom,
( ~ hates(aunt_agatha,X1)
| ~ hates(charles,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',charles_and_agatha_hate_different_people) ).
cnf(agatha_likes_only_butler,axiom,
( X1 = butler
| hates(aunt_agatha,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agatha_likes_only_butler) ).
cnf(agatha_is_not_the_butler,axiom,
aunt_agatha != butler,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',agatha_is_not_the_butler) ).
cnf(prove_agatha_killed_herself,negated_conjecture,
~ killed(aunt_agatha,aunt_agatha),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_agatha_killed_herself) ).
cnf(c_0_12,axiom,
( hates(X1,X2)
| ~ killed(X1,X2) ),
killer_hates_victim ).
cnf(c_0_13,axiom,
killed(someone,aunt_agatha),
someone_killed_agatha ).
cnf(c_0_14,axiom,
( X1 = aunt_agatha
| X1 = butler
| X1 = charles
| ~ lives_at_dreadsbury(X1) ),
noone_else_lives_at_mansion ).
cnf(c_0_15,axiom,
lives_at_dreadsbury(someone),
someone_in_mansion ).
cnf(c_0_16,plain,
hates(someone,aunt_agatha),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
( someone = charles
| someone = butler
| someone = aunt_agatha ),
inference(spm,[status(thm)],[c_0_14,c_0_15]) ).
cnf(c_0_18,axiom,
~ hates(X1,every_one_but(X1)),
noone_hates_everyone ).
cnf(c_0_19,axiom,
( hates(butler,X1)
| ~ hates(aunt_agatha,X1) ),
butler_and_agatha_hate_the_same_people ).
cnf(c_0_20,axiom,
( ~ killed(X1,X2)
| ~ richer(X1,X2) ),
killer_poorer_than_victim ).
cnf(c_0_21,axiom,
( richer(X1,aunt_agatha)
| hates(butler,X1) ),
butler_hates_poor_people ).
cnf(c_0_22,axiom,
( ~ hates(aunt_agatha,X1)
| ~ hates(charles,X1) ),
charles_and_agatha_hate_different_people ).
cnf(c_0_23,plain,
( someone = aunt_agatha
| someone = butler
| hates(charles,aunt_agatha) ),
inference(spm,[status(thm)],[c_0_16,c_0_17]) ).
cnf(c_0_24,plain,
~ hates(aunt_agatha,every_one_but(butler)),
inference(spm,[status(thm)],[c_0_18,c_0_19]) ).
cnf(c_0_25,axiom,
( X1 = butler
| hates(aunt_agatha,X1) ),
agatha_likes_only_butler ).
cnf(c_0_26,plain,
( hates(butler,X1)
| ~ killed(X1,aunt_agatha) ),
inference(spm,[status(thm)],[c_0_20,c_0_21]) ).
cnf(c_0_27,plain,
( someone = butler
| someone = aunt_agatha
| ~ hates(aunt_agatha,aunt_agatha) ),
inference(spm,[status(thm)],[c_0_22,c_0_23]) ).
cnf(c_0_28,axiom,
aunt_agatha != butler,
agatha_is_not_the_butler ).
cnf(c_0_29,plain,
every_one_but(butler) = butler,
inference(spm,[status(thm)],[c_0_24,c_0_25]) ).
cnf(c_0_30,plain,
hates(butler,someone),
inference(spm,[status(thm)],[c_0_26,c_0_13]) ).
cnf(c_0_31,plain,
( someone = aunt_agatha
| someone = butler ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_27,c_0_25]),c_0_28]) ).
cnf(c_0_32,plain,
~ hates(butler,butler),
inference(spm,[status(thm)],[c_0_18,c_0_29]) ).
cnf(c_0_33,plain,
someone = aunt_agatha,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32]) ).
cnf(c_0_34,negated_conjecture,
~ killed(aunt_agatha,aunt_agatha),
prove_agatha_killed_herself ).
cnf(c_0_35,plain,
$false,
inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_33]),c_0_34]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ001-2 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n007.cluster.edu
% 0.16/0.33 % Model : x86_64 x86_64
% 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.33 % Memory : 8042.1875MB
% 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.33 % CPULimit : 300
% 0.16/0.33 % WCLimit : 300
% 0.16/0.33 % DateTime : Tue May 5 01:32:09 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.24/1.72 % Version : CSE_E---1.7
% 1.24/1.72 % Problem : theBenchmark.p
% 1.24/1.72 % SZS status Unsatisfiable for theBenchmark.p
% 1.24/1.72 % SZS output start CNFRefutation
% See solution above
% 1.24/1.72 % Total time : 1.368s
%------------------------------------------------------------------------------