%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : PUZ027-1 : 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 : n026.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 2.45s 0.63s
% Output : CNFRefutation 2.45s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_there_is_an_answer)
% Comments :
%------------------------------------------------------------------------------
cnf(31,plain,
~ answer(X0),
inference(cnf,[status(esa)],[prove_there_is_an_answer]) ).
cnf(l0,plain,
~ answer(a_liar_b_normal),
inference(instantiation,[status(thm)],[31]) ).
cnf(29,plain,
( ~ a_truth(liar(a))
| ~ a_truth(normal(b))
| answer(a_liar_b_normal) ),
inference(cnf,[status(esa)],[a_liar_b_normal]) ).
cnf(l1,plain,
( ~ a_truth(liar(a))
| ~ a_truth(normal(b))
| answer(a_liar_b_normal) ),
inference(instantiation,[status(thm)],[29]) ).
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(l2,plain,
( ~ a_truth(says(a,lower(a,b)))
| a_truth(lower(a,b))
| a_truth(liar(a))
| a_truth(normal(a)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(19,plain,
( ~ a_truth(normal(X0))
| ~ a_truth(not_lower(X0,X1))
| a_truth(normal(X1))
| a_truth(lower(X1,X0)) ),
inference(cnf,[status(esa)],[not_lower_than_normal]) ).
cnf(l8,plain,
( ~ a_truth(normal(a))
| ~ a_truth(not_lower(a,b))
| a_truth(normal(b))
| a_truth(lower(b,a)) ),
inference(instantiation,[status(thm)],[19]) ).
cnf(20,plain,
a_truth(says(a,lower(a,b))),
inference(cnf,[status(esa)],[a_says_a_lower_than_b]) ).
cnf(l4,plain,
a_truth(says(a,lower(a,b))),
inference(instantiation,[status(thm)],[20]) ).
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(lower(a,b))
| ~ a_truth(says(a,lower(a,b)))
| a_truth(truthteller(a))
| a_truth(normal(a)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l10,plain,
( ~ a_truth(says(b,not_lower(a,b)))
| a_truth(not_lower(a,b))
| a_truth(liar(b))
| a_truth(normal(b)) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l3,plain,
( ~ a_truth(not_lower(a,b))
| ~ a_truth(says(b,not_lower(a,b)))
| a_truth(truthteller(b))
| a_truth(normal(b)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(15,plain,
( ~ a_truth(normal(X0))
| ~ a_truth(lower(X1,X0))
| a_truth(liar(X1)) ),
inference(cnf,[status(esa)],[liars_lower_than_normal]) ).
cnf(l29,plain,
( ~ a_truth(normal(a))
| ~ a_truth(lower(b,a))
| a_truth(liar(b)) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(27,plain,
( ~ a_truth(liar(b))
| ~ a_truth(normal(a))
| answer(a_normal_b_liar) ),
inference(cnf,[status(esa)],[a_normal_b_liar]) ).
cnf(l33,plain,
( ~ a_truth(liar(b))
| ~ a_truth(normal(a))
| answer(a_normal_b_liar) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(13,plain,
( ~ a_truth(truthteller(X0))
| ~ a_truth(lower(X0,X1)) ),
inference(cnf,[status(esa)],[truthtellers_lower_than_no_one]) ).
cnf(l112,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(lower(a,b)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(26,plain,
( ~ a_truth(normal(a))
| ~ a_truth(normal(b))
| answer(a_and_b_normal) ),
inference(cnf,[status(esa)],[a_and_b_normal]) ).
cnf(l37,plain,
( ~ a_truth(normal(a))
| ~ a_truth(normal(b))
| answer(a_and_b_normal) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(l200,plain,
( ~ a_truth(liar(b))
| ~ a_truth(normal(a))
| answer(a_normal_b_liar) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(l14,plain,
a_truth(says(a,lower(a,b))),
inference(instantiation,[status(thm)],[20]) ).
cnf(l218,plain,
( ~ a_truth(normal(a))
| ~ a_truth(normal(b))
| answer(a_and_b_normal) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(21,plain,
a_truth(says(b,not_lower(a,b))),
inference(cnf,[status(esa)],[b_says_a_not_lower_than_b]) ).
cnf(l7,plain,
a_truth(says(b,not_lower(a,b))),
inference(instantiation,[status(thm)],[21]) ).
cnf(17,plain,
( ~ a_truth(truthteller(X0))
| ~ a_truth(not_lower(X0,X1))
| a_truth(truthteller(X1))
| a_truth(lower(X1,X0)) ),
inference(cnf,[status(esa)],[not_lower_than_truthteller]) ).
cnf(l68,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(not_lower(b,a))
| a_truth(truthteller(a))
| a_truth(lower(a,b)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(25,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(normal(a))
| answer(a_normal_b_truthteller) ),
inference(cnf,[status(esa)],[a_normal_b_truthteller]) ).
cnf(l111,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(normal(a))
| answer(a_normal_b_truthteller) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l27,plain,
a_truth(says(b,not_lower(a,b))),
inference(instantiation,[status(thm)],[21]) ).
cnf(l246,plain,
~ answer(a_normal_b_liar),
inference(instantiation,[status(thm)],[31]) ).
cnf(l225,plain,
~ answer(a_normal_b_liar),
inference(instantiation,[status(thm)],[31]) ).
cnf(10,plain,
( a_truth(not_lower(X0,X1))
| a_truth(lower(X0,X1)) ),
inference(cnf,[status(esa)],[not_lower_or_lower]) ).
cnf(l78,plain,
( a_truth(not_lower(b,a))
| a_truth(lower(b,a)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l64,plain,
~ answer(a_and_b_normal),
inference(instantiation,[status(thm)],[31]) ).
cnf(l6,plain,
( a_truth(not_lower(a,b))
| a_truth(lower(a,b)) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l238,plain,
~ answer(a_and_b_normal),
inference(instantiation,[status(thm)],[31]) ).
cnf(4,plain,
( ~ a_truth(says(X0,X1))
| ~ a_truth(truthteller(X0))
| a_truth(X1) ),
inference(cnf,[status(esa)],[truthtellers_tell_truth]) ).
cnf(l74,plain,
( ~ a_truth(says(a,lower(a,b)))
| ~ a_truth(truthteller(a))
| a_truth(lower(a,b)) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l88,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(lower(b,a)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(12,plain,
( ~ a_truth(normal(X0))
| ~ a_truth(lower(X0,X1))
| a_truth(truthteller(X1)) ),
inference(cnf,[status(esa)],[truthtellers_highest]) ).
cnf(l143,plain,
( ~ a_truth(normal(a))
| ~ a_truth(lower(a,b))
| a_truth(truthteller(b)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l23,plain,
( ~ a_truth(lower(a,b))
| ~ a_truth(says(a,lower(a,b)))
| a_truth(truthteller(a))
| a_truth(normal(a)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(14,plain,
( ~ a_truth(truthteller(X0))
| ~ a_truth(lower(X1,X0))
| a_truth(liar(X1))
| a_truth(normal(X1)) ),
inference(cnf,[status(esa)],[normal_and_liars_lower_than_truthtellers]) ).
cnf(l77,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(lower(a,b))
| a_truth(liar(a))
| a_truth(normal(a)) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l89,plain,
a_truth(says(a,lower(a,b))),
inference(instantiation,[status(thm)],[20]) ).
cnf(l48,plain,
a_truth(says(a,lower(a,b))),
inference(instantiation,[status(thm)],[20]) ).
cnf(l142,plain,
~ answer(a_normal_b_truthteller),
inference(instantiation,[status(thm)],[31]) ).
cnf(l172,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(normal(a))
| answer(a_normal_b_truthteller) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l82,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(lower(a,b)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(28,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(liar(a))
| answer(a_liar_b_truthteller) ),
inference(cnf,[status(esa)],[a_liar_b_truthteller]) ).
cnf(l130,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(liar(a))
| answer(a_liar_b_truthteller) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(l132,plain,
~ answer(a_liar_b_truthteller),
inference(instantiation,[status(thm)],[31]) ).
cnf(l25,plain,
( ~ a_truth(truthteller(a))
| ~ a_truth(lower(a,b)) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l32,plain,
( ~ a_truth(truthteller(b))
| ~ a_truth(normal(a))
| answer(a_normal_b_truthteller) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l242,plain,
( ~ a_truth(normal(a))
| ~ a_truth(lower(a,b))
| a_truth(truthteller(b)) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l241,plain,
~ answer(a_normal_b_truthteller),
inference(instantiation,[status(thm)],[31]) ).
cnf(l255,plain,
~ answer(a_normal_b_truthteller),
inference(instantiation,[status(thm)],[31]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l8,l4,l5,l10,l3,l29,l33,l112,l37,l200,l14,l218,l7,l68,l111,l27,l246,l225,l78,l64,l6,l238,l74,l88,l143,l23,l77,l89,l48,l142,l172,l82,l130,l132,l25,l32,l242,l241,l255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : PUZ027-1 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Jul 21 15:50:34 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.34 % launching worker at depth: 9
% 0.13/0.34 % launching worker at depth: 10
% 0.13/0.36 % launching worker at depth: 11
% 0.19/0.44 % launching worker at depth: 12
% 2.45/0.63 % SZS status Theorem for theBenchmark
% 2.45/0.63 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------