%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP033-4 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n014.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 17:22:51 EDT 2024
% Result : Unsatisfiable 0.51s 0.70s
% Output : Refutation 0.51s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 7 unt; 0 nHn; 8 RR)
% Number of literals : 18 ( 0 equ; 10 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; 2 con; 0-1 aty)
% Number of variables : 8 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
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/Axioms/GRP003-0.ax',right_inverse) ).
cnf(closure_of_product_and_inverse,axiom,
( ~ subgroup_member(X44)
| ~ subgroup_member(X45)
| ~ product(X44,inverse(X45),X46)
| subgroup_member(X46) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-2.ax',closure_of_product_and_inverse) ).
cnf(c48,plain,
( ~ subgroup_member(X47)
| subgroup_member(identity) ),
inference(resolution,[status(thm)],[closure_of_product_and_inverse,right_inverse]) ).
cnf(c50,plain,
subgroup_member(identity),
inference(resolution,[status(thm)],[c48,a_is_in_subgroup]) ).
cnf(right_identity,axiom,
product(X4,identity,X4),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',right_identity) ).
cnf(left_identity,axiom,
product(identity,X3,X3),
file('/export/starexec/sandbox2/benchmark/Axioms/GRP003-0.ax',left_identity) ).
cnf(prove_subgr2,negated_conjecture,
( ~ product(j(X48),X48,j(X48))
| ~ product(X48,j(X48),j(X48))
| ~ subgroup_member(X48) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_subgr2) ).
cnf(c54,plain,
( ~ product(j(identity),identity,j(identity))
| ~ subgroup_member(identity) ),
inference(resolution,[status(thm)],[prove_subgr2,left_identity]) ).
cnf(c576,plain,
~ subgroup_member(identity),
inference(resolution,[status(thm)],[c54,right_identity]) ).
cnf(c577,plain,
$false,
inference(resolution,[status(thm)],[c576,c50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : GRP033-4 : TPTP v8.1.2. Released v1.0.0.
% 0.14/0.15 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.36 % Computer : n014.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 : 300
% 0.14/0.36 % DateTime : Thu May 9 04:21:23 EDT 2024
% 0.14/0.36 % CPUTime :
% 0.51/0.70 % Version: 1.5
% 0.51/0.70 % SZS status Unsatisfiable
% 0.51/0.70 % SZS output start CNFRefutation
% See solution above
% 0.51/0.70
% 0.51/0.70 % Initial clauses : 20
% 0.51/0.70 % Processed clauses : 114
% 0.51/0.70 % Factors computed : 23
% 0.51/0.70 % Resolvents computed: 550
% 0.51/0.70 % Tautologies deleted: 9
% 0.51/0.70 % Forward subsumed : 64
% 0.51/0.70 % Backward subsumed : 5
% 0.51/0.70 % -------- CPU Time ---------
% 0.51/0.70 % User time : 0.315 s
% 0.51/0.70 % System time : 0.016 s
% 0.51/0.70 % Total time : 0.331 s
%------------------------------------------------------------------------------