%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : HWV010-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n013.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 : 600s
% DateTime : Sat Jul 16 18:29:37 EDT 2022
% Result : Unsatisfiable 0.21s 0.49s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 10 RR)
% Number of literals : 16 ( 12 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 2 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(axiom_5,axiom,
fwork_DOTfifo_DOTrtl_DOTlevel_(T_0) = fwork_DOTfifo_DOTrtl_DOTint__level_(T_0) ).
cnf(axiom_9,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(T_4))
| fwork_DOTfifo_DOTrtl_DOTint__level_(T_4) = n0 ) ).
cnf(quest_1,negated_conjecture,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) != n0 ).
cnf(quest_2,negated_conjecture,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)) ).
cnf(refute_0_0,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206))
| fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0 ),
inference(subst,[],[axiom_9:[bind(T_4,$fot(t_206))]]) ).
cnf(refute_0_1,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) = n0,
inference(resolve,[$cnf( p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)) )],[quest_2,refute_0_0]) ).
cnf(refute_0_2,plain,
fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),
inference(subst,[],[axiom_5:[bind(T_0,$fot(t_206))]]) ).
cnf(refute_0_3,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) != n0
| fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) != fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)
| fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n0 ),
introduced(tautology,[equality,[$cnf( $equal(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) ),[1],$fot(n0)]]) ).
cnf(refute_0_4,plain,
( fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) != n0
| fwork_DOTfifo_DOTrtl_DOTlevel_(t_206) = n0 ),
inference(resolve,[$cnf( $equal(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTint__level_(t_206)) )],[refute_0_2,refute_0_3]) ).
cnf(refute_0_5,plain,
fwork_DOTfifo_DOTrtl_DOTint__level_(t_206) != n0,
inference(resolve,[$cnf( $equal(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0) )],[refute_0_4,quest_1]) ).
cnf(refute_0_6,plain,
$false,
inference(resolve,[$cnf( $equal(fwork_DOTfifo_DOTrtl_DOTint__level_(t_206),n0) )],[refute_0_1,refute_0_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : HWV010-2 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Fri Jun 17 04:20:59 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.21/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49
% 0.21/0.49 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.21/0.49
%------------------------------------------------------------------------------