%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP038-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n011.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 0.52s 0.69s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 15 ( 0 equ; 7 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 : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_c_is_in_subgroup,negated_conjecture,
~ subgroup_member(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_c_is_in_subgroup) ).
cnf(a_is_in_subgroup,plain,
subgroup_member(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_is_in_subgroup) ).
cnf(b_is_in_subgroup,plain,
subgroup_member(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_is_in_subgroup) ).
cnf(a_times_inverse_b_is_c,plain,
product(a,inverse(b),c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_inverse_b_is_c) ).
cnf(closure_of_product_and_inverse,axiom,
( ~ subgroup_member(X38)
| ~ subgroup_member(X39)
| ~ product(X38,inverse(X39),X40)
| subgroup_member(X40) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-2.ax',closure_of_product_and_inverse) ).
cnf(c46,plain,
( ~ subgroup_member(a)
| ~ subgroup_member(b)
| subgroup_member(c) ),
inference(resolution,[status(thm)],[closure_of_product_and_inverse,a_times_inverse_b_is_c]) ).
cnf(c252,plain,
( ~ subgroup_member(a)
| subgroup_member(c) ),
inference(resolution,[status(thm)],[c46,b_is_in_subgroup]) ).
cnf(c253,plain,
subgroup_member(c),
inference(resolution,[status(thm)],[c252,a_is_in_subgroup]) ).
cnf(c255,plain,
$false,
inference(resolution,[status(thm)],[c253,prove_c_is_in_subgroup]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.14 % Problem : GRP038-3 : TPTP v8.1.2. Released v1.0.0.
% 0.05/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.37 % Computer : n011.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu May 9 04:41:53 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.52/0.69 % Version: 1.5
% 0.52/0.69 % SZS status Unsatisfiable
% 0.52/0.69 % SZS output start CNFRefutation
% See solution above
% 0.52/0.69
% 0.52/0.69 % Initial clauses : 22
% 0.52/0.69 % Processed clauses : 77
% 0.52/0.69 % Factors computed : 14
% 0.52/0.69 % Resolvents computed: 240
% 0.52/0.69 % Tautologies deleted: 7
% 0.52/0.69 % Forward subsumed : 40
% 0.52/0.69 % Backward subsumed : 2
% 0.52/0.69 % -------- CPU Time ---------
% 0.52/0.69 % User time : 0.285 s
% 0.52/0.69 % System time : 0.029 s
% 0.52/0.69 % Total time : 0.314 s
%------------------------------------------------------------------------------