%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP034-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n025.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 17:22:52 EDT 2024
% Result : Unsatisfiable 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 9 RR)
% Number of literals : 18 ( 0 equ; 8 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 : 8 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_inverse_is_in_subgroup,negated_conjecture,
~ subgroup_member(inverse(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_inverse_is_in_subgroup) ).
cnf(a_is_in_subgroup,plain,
subgroup_member(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_in_subgroup) ).
cnf(right_inverse,axiom,
product(X6,inverse(X6),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
cnf(closure_of_subgroup,axiom,
( ~ subgroup_member(X8)
| ~ subgroup_member(X7)
| ~ product(X7,inverse(X8),X9)
| subgroup_member(X9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_subgroup) ).
cnf(c0,plain,
( ~ subgroup_member(X10)
| subgroup_member(identity) ),
inference(resolution,[status(thm)],[closure_of_subgroup,right_inverse]) ).
cnf(c3,plain,
subgroup_member(identity),
inference(resolution,[status(thm)],[c0,a_is_in_subgroup]) ).
cnf(left_identity,axiom,
product(identity,X2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
cnf(c2,plain,
( ~ subgroup_member(X11)
| ~ subgroup_member(identity)
| subgroup_member(inverse(X11)) ),
inference(resolution,[status(thm)],[closure_of_subgroup,left_identity]) ).
cnf(c5,plain,
( ~ subgroup_member(X12)
| subgroup_member(inverse(X12)) ),
inference(resolution,[status(thm)],[c2,c3]) ).
cnf(c7,plain,
subgroup_member(inverse(a)),
inference(resolution,[status(thm)],[c5,a_is_in_subgroup]) ).
cnf(c15,plain,
$false,
inference(resolution,[status(thm)],[c7,prove_inverse_is_in_subgroup]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP034-4 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu May 9 04:52:53 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.48 % Version: 1.5
% 0.18/0.48 % SZS status Unsatisfiable
% 0.18/0.48 % SZS output start CNFRefutation
% See solution above
% 0.18/0.48
% 0.18/0.48 % Initial clauses : 9
% 0.18/0.48 % Processed clauses : 14
% 0.18/0.48 % Factors computed : 3
% 0.18/0.48 % Resolvents computed: 14
% 0.18/0.48 % Tautologies deleted: 0
% 0.18/0.48 % Forward subsumed : 0
% 0.18/0.48 % Backward subsumed : 2
% 0.18/0.48 % -------- CPU Time ---------
% 0.18/0.48 % User time : 0.130 s
% 0.18/0.48 % System time : 0.016 s
% 0.18/0.48 % Total time : 0.146 s
%------------------------------------------------------------------------------