%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : PUZ001-1 : TPTP v9.2.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n011.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 1.23s 1.71s
% Output : CNFRefutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 27 ( 13 unt; 4 nHn; 27 RR)
% Number of literals : 45 ( 0 equ; 22 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(same_hates,hypothesis,
( hates(butler,X1)
| ~ hates(agatha,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',same_hates) ).
cnf(agatha_hates_agatha,hypothesis,
hates(agatha,agatha),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',agatha_hates_agatha) ).
cnf(agatha_hates_charles,hypothesis,
hates(agatha,charles),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',agatha_hates_charles) ).
cnf(no_one_hates_everyone,hypothesis,
( ~ hates(X1,agatha)
| ~ hates(X1,butler)
| ~ hates(X1,charles) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',no_one_hates_everyone) ).
cnf(different_hates,hypothesis,
( ~ hates(agatha,X1)
| ~ hates(charles,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',different_hates) ).
cnf(butler_hates_poor,hypothesis,
( richer(X1,agatha)
| hates(butler,X1)
| ~ lives(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',butler_hates_poor) ).
cnf(butler,hypothesis,
lives(butler),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',butler) ).
cnf(killer_hates_victim,hypothesis,
( hates(X1,X2)
| ~ killed(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',killer_hates_victim) ).
cnf(prove_neither_charles_nor_butler_did_it,negated_conjecture,
( killed(butler,agatha)
| killed(charles,agatha) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_neither_charles_nor_butler_did_it) ).
cnf(poorer_killer,hypothesis,
( ~ killed(X1,X2)
| ~ richer(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',poorer_killer) ).
cnf(c_0_10,hypothesis,
( hates(butler,X1)
| ~ hates(agatha,X1) ),
same_hates ).
cnf(c_0_11,hypothesis,
hates(agatha,agatha),
agatha_hates_agatha ).
cnf(c_0_12,hypothesis,
hates(agatha,charles),
agatha_hates_charles ).
cnf(c_0_13,hypothesis,
( ~ hates(X1,agatha)
| ~ hates(X1,butler)
| ~ hates(X1,charles) ),
no_one_hates_everyone ).
cnf(c_0_14,hypothesis,
hates(butler,agatha),
inference(spm,[status(thm)],[c_0_10,c_0_11]) ).
cnf(c_0_15,hypothesis,
hates(butler,charles),
inference(spm,[status(thm)],[c_0_10,c_0_12]) ).
cnf(c_0_16,hypothesis,
( ~ hates(agatha,X1)
| ~ hates(charles,X1) ),
different_hates ).
cnf(c_0_17,hypothesis,
( richer(X1,agatha)
| hates(butler,X1)
| ~ lives(X1) ),
butler_hates_poor ).
cnf(c_0_18,hypothesis,
lives(butler),
butler ).
cnf(c_0_19,hypothesis,
~ hates(butler,butler),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_13,c_0_14]),c_0_15])]) ).
cnf(c_0_20,hypothesis,
( hates(X1,X2)
| ~ killed(X1,X2) ),
killer_hates_victim ).
cnf(c_0_21,negated_conjecture,
( killed(butler,agatha)
| killed(charles,agatha) ),
prove_neither_charles_nor_butler_did_it ).
cnf(c_0_22,hypothesis,
~ hates(charles,agatha),
inference(spm,[status(thm)],[c_0_16,c_0_11]) ).
cnf(c_0_23,hypothesis,
( ~ killed(X1,X2)
| ~ richer(X1,X2) ),
poorer_killer ).
cnf(c_0_24,hypothesis,
richer(butler,agatha),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).
cnf(c_0_25,negated_conjecture,
killed(butler,agatha),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).
cnf(c_0_26,hypothesis,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : PUZ001-1 : TPTP v9.2.1. Released v1.0.0.
% 0.00/0.12 % Command : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.33 % Computer : n011.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 01:32:47 EDT 2026
% 0.16/0.33 % CPUTime :
% 0.16/0.34 % start to proof: theBenchmark
% 1.23/1.71 % Version : CSE_E---1.7
% 1.23/1.71 % Problem : theBenchmark.p
% 1.23/1.71 % SZS status Unsatisfiable for theBenchmark.p
% 1.23/1.71 % SZS output start CNFRefutation
% See solution above
% 1.23/1.71 % Total time : 1.370s
%------------------------------------------------------------------------------