%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP005-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 : Thu May 9 17:22:44 EDT 2024
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 6 RR)
% Number of literals : 11 ( 0 equ; 5 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 5 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_identity_is_an_element,negated_conjecture,
~ an_element(identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_identity_is_an_element) ).
cnf(element_of_set,axiom,
an_element(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_of_set) ).
cnf(right_inverse,axiom,
product(X4,inverse(X4),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
cnf(condition,axiom,
( ~ an_element(X8)
| ~ an_element(X6)
| ~ product(X8,inverse(X6),X7)
| an_element(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition) ).
cnf(c0,plain,
( ~ an_element(X9)
| an_element(identity) ),
inference(resolution,[status(thm)],[condition,right_inverse]) ).
cnf(c3,plain,
an_element(identity),
inference(resolution,[status(thm)],[c0,element_of_set]) ).
cnf(c4,plain,
$false,
inference(resolution,[status(thm)],[c3,prove_identity_is_an_element]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP005-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu May 9 03:48:38 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.20/0.50 % Version: 1.5
% 0.20/0.50 % SZS status Unsatisfiable
% 0.20/0.50 % SZS output start CNFRefutation
% See solution above
% 0.20/0.50
% 0.20/0.50 % Initial clauses : 9
% 0.20/0.50 % Processed clauses : 9
% 0.20/0.50 % Factors computed : 0
% 0.20/0.50 % Resolvents computed: 5
% 0.20/0.50 % Tautologies deleted: 0
% 0.20/0.50 % Forward subsumed : 0
% 0.20/0.50 % Backward subsumed : 1
% 0.20/0.50 % -------- CPU Time ---------
% 0.20/0.50 % User time : 0.147 s
% 0.20/0.50 % System time : 0.015 s
% 0.20/0.50 % Total time : 0.162 s
%------------------------------------------------------------------------------