%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP034-3 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n019.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 0.20s 0.57s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% 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 : 7 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_a_inverse_is_in_subgroup,negated_conjecture,
~ subgroup_member(inverse(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_a_inverse_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(X44)
| ~ product(X45,inverse(X44),X46)
| subgroup_member(X46) ),
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(left_identity,axiom,
product(identity,X3,X3),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',left_identity) ).
cnf(c45,plain,
( ~ subgroup_member(identity)
| ~ subgroup_member(X96)
| subgroup_member(inverse(X96)) ),
inference(resolution,[status(thm)],[closure_of_product_and_inverse,left_identity]) ).
cnf(c144,plain,
( ~ subgroup_member(identity)
| subgroup_member(inverse(a)) ),
inference(resolution,[status(thm)],[c45,a_is_in_subgroup]) ).
cnf(c152,plain,
subgroup_member(inverse(a)),
inference(resolution,[status(thm)],[c144,c48]) ).
cnf(c156,plain,
$false,
inference(resolution,[status(thm)],[c152,prove_a_inverse_is_in_subgroup]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP034-3 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n019.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu May 9 04:26:38 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.20/0.57 % Version: 1.5
% 0.20/0.57 % SZS status Unsatisfiable
% 0.20/0.57 % SZS output start CNFRefutation
% See solution above
% 0.20/0.57
% 0.20/0.57 % Initial clauses : 18
% 0.20/0.57 % Processed clauses : 51
% 0.20/0.57 % Factors computed : 10
% 0.20/0.57 % Resolvents computed: 143
% 0.20/0.57 % Tautologies deleted: 4
% 0.20/0.57 % Forward subsumed : 32
% 0.20/0.57 % Backward subsumed : 3
% 0.20/0.57 % -------- CPU Time ---------
% 0.20/0.57 % User time : 0.206 s
% 0.20/0.57 % System time : 0.015 s
% 0.20/0.57 % Total time : 0.221 s
%------------------------------------------------------------------------------