%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP032-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n005.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 0.19s 0.56s
% Output : Refutation 0.19s
% 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_in_subgroup,negated_conjecture,
~ subgroup_member(identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_identity_is_in_subgroup) ).
cnf(a_is_in_subgroup,plain,
subgroup_member(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_in_subgroup) ).
cnf(right_inverse,axiom,
product(X6,inverse(X6),identity),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',right_inverse) ).
cnf(closure_of_product_and_inverse,axiom,
( ~ subgroup_member(X45)
| ~ subgroup_member(X46)
| ~ product(X45,inverse(X46),X44)
| subgroup_member(X44) ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-2.ax',closure_of_product_and_inverse) ).
cnf(c47,plain,
( ~ subgroup_member(X47)
| subgroup_member(identity) ),
inference(resolution,[status(thm)],[closure_of_product_and_inverse,right_inverse]) ).
cnf(c48,plain,
subgroup_member(identity),
inference(resolution,[status(thm)],[c47,a_is_in_subgroup]) ).
cnf(c49,plain,
$false,
inference(resolution,[status(thm)],[c48,prove_identity_is_in_subgroup]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP032-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.33 % Computer : n005.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 300
% 0.14/0.33 % DateTime : Thu May 9 04:26:23 EDT 2024
% 0.14/0.33 % CPUTime :
% 0.19/0.56 % Version: 1.5
% 0.19/0.56 % SZS status Unsatisfiable
% 0.19/0.56 % SZS output start CNFRefutation
% See solution above
% 0.19/0.56
% 0.19/0.56 % Initial clauses : 18
% 0.19/0.56 % Processed clauses : 23
% 0.19/0.56 % Factors computed : 5
% 0.19/0.56 % Resolvents computed: 41
% 0.19/0.56 % Tautologies deleted: 1
% 0.19/0.56 % Forward subsumed : 8
% 0.19/0.56 % Backward subsumed : 1
% 0.19/0.56 % -------- CPU Time ---------
% 0.19/0.56 % User time : 0.218 s
% 0.19/0.56 % System time : 0.014 s
% 0.19/0.56 % Total time : 0.232 s
%------------------------------------------------------------------------------