%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : PUZ026-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 : Fri Jul 25 01:24:28 PM UTC 2025
% Result : Unsatisfiable 5.95s 1.16s
% Output : CNFRefutation 5.95s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_one_of_each)
% Comments :
%------------------------------------------------------------------------------
cnf(22,plain,
( ~ a_truth(truthteller(X0))
| ~ a_truth(liar(X1))
| ~ a_truth(normal(X2)) ),
inference(cnf,[status(esa)],[prove_one_of_each]) ).
cnf(l0,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(liar(c))
| ~ a_truth(normal(c)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(0,plain,
( a_truth(truthteller(X0))
| a_truth(liar(X0))
| a_truth(normal(X0)) ),
inference(cnf,[status(esa)],[person_is_one_type]) ).
cnf(l1,plain,
( a_truth(truthteller(c))
| a_truth(liar(c))
| a_truth(normal(c)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(10,plain,
( ~ a_truth(truthteller(X0))
| ~ a_truth(truthteller(X1))
| ~ people(X0,X1,X2) ),
inference(cnf,[status(esa)],[not_two_truthtellers1]) ).
cnf(l6,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(c))
| ~ people(b,c,a) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l12,plain,
( a_truth(truthteller(b))
| a_truth(liar(b))
| a_truth(normal(b)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(6,plain,
( ~ a_truth(X0)
| ~ a_truth(says(X1,X0))
| a_truth(truthteller(X1))
| a_truth(normal(X1)) ),
inference(cnf,[status(esa)],[truthtellers_and_normal_tell_truth]) ).
cnf(l5,plain,
( ~ a_truth(not_normal(c))
| ~ a_truth(says(c,not_normal(c)))
| a_truth(truthteller(c))
| a_truth(normal(c)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l593,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(truthteller(c))
| ~ people(b,c,a) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l3,plain,
( a_truth(truthteller(a))
| a_truth(liar(a))
| a_truth(normal(a)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(14,plain,
( ~ a_truth(normal(X0))
| ~ a_truth(normal(X1))
| ~ people(X0,X1,X2) ),
inference(cnf,[status(esa)],[not_two_normal1]) ).
cnf(l8,plain,
( ~ a_truth(normal(a))
| ~ a_truth(normal(b))
| ~ people(a,b,c) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(21,plain,
a_truth(says(c,not_normal(c))),
inference(cnf,[status(esa)],[c_says_c_not_normal]) ).
cnf(l11,plain,
a_truth(says(c,not_normal(c))),
inference(instantiation,[status(thm)],[21]) ).
cnf(12,plain,
( ~ a_truth(liar(X0))
| ~ a_truth(liar(X1))
| ~ people(X0,X1,X2) ),
inference(cnf,[status(esa)],[not_two_liars1]) ).
cnf(l19,plain,
( ~ a_truth(liar(a))
| ~ a_truth(liar(b))
| ~ people(a,b,c) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l937,plain,
( a_truth(truthteller(b))
| a_truth(liar(b))
| a_truth(normal(b)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(9,plain,
( a_truth(normal(X0))
| a_truth(not_normal(X0)) ),
inference(cnf,[status(esa)],[normal_or_not_normal]) ).
cnf(l427,plain,
( a_truth(normal(c))
| a_truth(not_normal(c)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l760,plain,
( a_truth(truthteller(b))
| a_truth(liar(b))
| a_truth(normal(b)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l944,plain,
( ~ a_truth(truthteller(c))
| ~ a_truth(liar(b))
| ~ a_truth(normal(a)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(5,plain,
( ~ a_truth(X0)
| ~ a_truth(says(X1,X0))
| ~ a_truth(liar(X1)) ),
inference(cnf,[status(esa)],[liars_lie]) ).
cnf(l453,plain,
( ~ a_truth(normal(a))
| ~ a_truth(says(a,normal(a)))
| ~ a_truth(liar(a)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(16,plain,
people(a,b,c),
inference(cnf,[status(esa)],[a_b_c_are_people]) ).
cnf(l797,plain,
people(a,b,c),
inference(instantiation,[status(thm)],[16]) ).
cnf(l939,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(liar(c))
| ~ a_truth(normal(a)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(17,plain,
people(b,c,a),
inference(cnf,[status(esa)],[b_c_a_are_people]) ).
cnf(l16,plain,
people(b,c,a),
inference(instantiation,[status(thm)],[17]) ).
cnf(4,plain,
( ~ a_truth(says(X0,X1))
| ~ a_truth(truthteller(X0))
| a_truth(X1) ),
inference(cnf,[status(esa)],[truthtellers_tell_truth]) ).
cnf(l1115,plain,
( ~ a_truth(says(b,normal(a)))
| ~ a_truth(truthteller(b))
| a_truth(normal(a)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l941,plain,
( a_truth(truthteller(c))
| a_truth(liar(c))
| a_truth(normal(c)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l964,plain,
( a_truth(truthteller(c))
| a_truth(liar(c))
| a_truth(normal(c)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(20,plain,
a_truth(says(b,normal(a))),
inference(cnf,[status(esa)],[b_says_a_normal]) ).
cnf(l1116,plain,
a_truth(says(b,normal(a))),
inference(instantiation,[status(thm)],[20]) ).
cnf(15,plain,
( ~ a_truth(normal(X0))
| ~ a_truth(normal(X1))
| ~ people(X0,X2,X1) ),
inference(cnf,[status(esa)],[not_two_normal2]) ).
cnf(l946,plain,
( ~ a_truth(normal(c))
| ~ a_truth(normal(a))
| ~ people(c,b,a) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l982,plain,
( ~ a_truth(normal(a))
| ~ a_truth(normal(c))
| ~ people(a,b,c) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l51,plain,
( a_truth(truthteller(a))
| a_truth(liar(a))
| a_truth(normal(a)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l976,plain,
( ~ a_truth(liar(c))
| ~ a_truth(liar(b))
| ~ people(c,b,a) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l971,plain,
( ~ a_truth(normal(a))
| ~ a_truth(says(b,normal(a)))
| a_truth(truthteller(b))
| a_truth(normal(b)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l596,plain,
people(b,c,a),
inference(instantiation,[status(thm)],[17]) ).
cnf(13,plain,
( ~ a_truth(liar(X0))
| ~ a_truth(liar(X1))
| ~ people(X0,X2,X1) ),
inference(cnf,[status(esa)],[not_two_liars2]) ).
cnf(l802,plain,
( ~ a_truth(liar(b))
| ~ a_truth(liar(a))
| ~ people(b,c,a) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l814,plain,
people(b,c,a),
inference(instantiation,[status(thm)],[17]) ).
cnf(3,plain,
( ~ a_truth(liar(X0))
| ~ a_truth(normal(X0)) ),
inference(cnf,[status(esa)],[not_liar_and_normal]) ).
cnf(l1136,plain,
( ~ a_truth(liar(b))
| ~ a_truth(normal(b)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(19,plain,
a_truth(says(a,normal(a))),
inference(cnf,[status(esa)],[a_says_a_normal]) ).
cnf(l759,plain,
a_truth(says(a,normal(a))),
inference(instantiation,[status(thm)],[19]) ).
cnf(l1138,plain,
a_truth(says(b,normal(a))),
inference(instantiation,[status(thm)],[20]) ).
cnf(l17,plain,
people(a,b,c),
inference(instantiation,[status(thm)],[16]) ).
cnf(l989,plain,
people(a,b,c),
inference(instantiation,[status(thm)],[16]) ).
cnf(18,plain,
people(c,b,a),
inference(cnf,[status(esa)],[c_b_a_are_people]) ).
cnf(l1056,plain,
people(c,b,a),
inference(instantiation,[status(thm)],[18]) ).
cnf(l1120,plain,
( a_truth(truthteller(b))
| a_truth(liar(b))
| a_truth(normal(b)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l756,plain,
( ~ a_truth(normal(b))
| ~ a_truth(normal(a))
| ~ people(b,c,a) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l936,plain,
( ~ a_truth(normal(a))
| ~ a_truth(normal(b))
| ~ people(a,b,c) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l1010,plain,
people(c,b,a),
inference(instantiation,[status(thm)],[18]) ).
cnf(l972,plain,
( a_truth(truthteller(a))
| a_truth(liar(a))
| a_truth(normal(a)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l938,plain,
( ~ a_truth(says(a,normal(a)))
| ~ a_truth(truthteller(a))
| a_truth(normal(a)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l1003,plain,
( ~ a_truth(normal(a))
| ~ a_truth(says(b,normal(a)))
| a_truth(truthteller(b))
| a_truth(normal(b)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l969,plain,
people(a,b,c),
inference(instantiation,[status(thm)],[16]) ).
cnf(l1198,plain,
( a_truth(truthteller(a))
| a_truth(liar(a))
| a_truth(normal(a)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l1007,plain,
a_truth(says(b,normal(a))),
inference(instantiation,[status(thm)],[20]) ).
cnf(l1128,plain,
( ~ a_truth(liar(b))
| ~ a_truth(liar(a))
| ~ people(b,c,a) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l1000,plain,
( ~ a_truth(says(a,normal(a)))
| ~ a_truth(truthteller(a))
| a_truth(normal(a)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l948,plain,
a_truth(says(a,normal(a))),
inference(instantiation,[status(thm)],[19]) ).
cnf(l1014,plain,
( a_truth(truthteller(a))
| a_truth(liar(a))
| a_truth(normal(a)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(11,plain,
( ~ a_truth(truthteller(X0))
| ~ a_truth(truthteller(X1))
| ~ people(X0,X2,X1) ),
inference(cnf,[status(esa)],[not_two_truthtellers2]) ).
cnf(l1204,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(truthteller(c))
| ~ people(a,b,c) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l947,plain,
( ~ a_truth(truthteller(c))
| ~ a_truth(truthteller(b))
| ~ people(c,b,a) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l1004,plain,
a_truth(says(a,normal(a))),
inference(instantiation,[status(thm)],[19]) ).
cnf(l610,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(liar(a))
| ~ a_truth(normal(c)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l1096,plain,
people(c,b,a),
inference(instantiation,[status(thm)],[18]) ).
cnf(l1122,plain,
( ~ a_truth(normal(b))
| ~ a_truth(normal(c))
| ~ people(b,c,a) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l1034,plain,
( ~ a_truth(truthteller(c))
| ~ a_truth(liar(a))
| ~ a_truth(normal(b)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l696,plain,
( a_truth(truthteller(b))
| a_truth(liar(b))
| a_truth(normal(b)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l1183,plain,
people(b,c,a),
inference(instantiation,[status(thm)],[17]) ).
cnf(l1265,plain,
people(b,c,a),
inference(instantiation,[status(thm)],[17]) ).
cnf(7,plain,
( ~ a_truth(says(X0,X1))
| a_truth(X1)
| a_truth(liar(X0))
| a_truth(normal(X0)) ),
inference(cnf,[status(esa)],[liars_and_normal_lie]) ).
cnf(l667,plain,
( ~ a_truth(says(a,normal(a)))
| a_truth(normal(a))
| a_truth(liar(a))
| a_truth(normal(a)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l795,plain,
a_truth(says(a,normal(a))),
inference(instantiation,[status(thm)],[19]) ).
cnf(l1084,plain,
( ~ a_truth(normal(c))
| ~ a_truth(normal(a))
| ~ people(c,b,a) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l766,plain,
people(b,c,a),
inference(instantiation,[status(thm)],[17]) ).
cnf(l1131,plain,
people(c,b,a),
inference(instantiation,[status(thm)],[18]) ).
cnf(l842,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(truthteller(c))
| ~ people(a,b,c) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l1211,plain,
people(a,b,c),
inference(instantiation,[status(thm)],[16]) ).
cnf(l1210,plain,
( ~ a_truth(truthteller(c))
| ~ a_truth(liar(a))
| ~ a_truth(normal(b)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(1,plain,
( ~ a_truth(truthteller(X0))
| ~ a_truth(normal(X0)) ),
inference(cnf,[status(esa)],[not_truthteller_and_normal]) ).
cnf(l1001,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(normal(a)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l1216,plain,
( ~ a_truth(not_normal(c))
| ~ a_truth(says(c,not_normal(c)))
| a_truth(truthteller(c))
| a_truth(normal(c)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l845,plain,
people(a,b,c),
inference(instantiation,[status(thm)],[16]) ).
cnf(l1218,plain,
( a_truth(normal(c))
| a_truth(not_normal(c)) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l1217,plain,
a_truth(says(c,not_normal(c))),
inference(instantiation,[status(thm)],[21]) ).
cnf(l1292,plain,
( ~ a_truth(liar(b))
| ~ a_truth(normal(b)) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l791,plain,
( ~ a_truth(normal(a))
| ~ a_truth(normal(c))
| ~ people(a,b,c) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l1053,plain,
people(a,b,c),
inference(instantiation,[status(thm)],[16]) ).
cnf(l710,plain,
( ~ a_truth(liar(a))
| ~ a_truth(liar(b))
| ~ people(a,b,c) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l1221,plain,
( ~ a_truth(truthteller(c))
| ~ a_truth(liar(a))
| ~ a_truth(normal(b)) ),
inference(instantiation,[status(thm)],[22]) ).
cnf(l1009,plain,
( ~ a_truth(normal(b))
| ~ a_truth(normal(c))
| ~ people(b,c,a) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l1184,plain,
people(b,c,a),
inference(instantiation,[status(thm)],[17]) ).
cnf(l1069,plain,
( a_truth(truthteller(a))
| a_truth(liar(a))
| a_truth(normal(a)) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l1072,plain,
( ~ a_truth(says(a,normal(a)))
| ~ a_truth(truthteller(a))
| a_truth(normal(a)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l961,plain,
people(a,b,c),
inference(instantiation,[status(thm)],[16]) ).
cnf(l1436,plain,
( ~ a_truth(normal(a))
| ~ a_truth(says(b,normal(a)))
| ~ a_truth(liar(b)) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l1431,plain,
a_truth(says(a,normal(a))),
inference(instantiation,[status(thm)],[19]) ).
cnf(l1456,plain,
a_truth(says(b,normal(a))),
inference(instantiation,[status(thm)],[20]) ).
cnf(l1469,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(normal(a)) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l6,l12,l5,l593,l3,l8,l11,l19,l937,l427,l760,l944,l453,l797,l939,l16,l1115,l941,l964,l1116,l946,l982,l51,l976,l971,l596,l802,l814,l1136,l759,l1138,l17,l989,l1056,l1120,l756,l936,l1010,l972,l938,l1003,l969,l1198,l1007,l1128,l1000,l948,l1014,l1204,l947,l1004,l610,l1096,l1122,l1034,l696,l1183,l1265,l667,l795,l1084,l766,l1131,l842,l1211,l1210,l1001,l1216,l845,l1218,l1217,l1292,l791,l1053,l710,l1221,l1009,l1184,l1069,l1072,l961,l1436,l1431,l1456,l1469]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ026-1 : TPTP v9.0.0. Released v1.0.0.
% 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34 % Computer : n020.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Jul 21 15:50:34 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 0.12/0.41 % launching worker at depth: 11
% 2.46/0.64 % launching worker at depth: 12
% 5.95/1.16 % SZS status Theorem for theBenchmark
% 5.95/1.16 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------