%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP023-2 : 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 17:22:48 EDT 2024
% Result : Unsatisfiable 0.42s 0.58s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 7 RR)
% Number of literals : 14 ( 13 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_inverse_of_id_is_id,negated_conjecture,
inverse(identity) != identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_of_id_is_id) ).
cnf(symmetry,axiom,
( X6 != X5
| X5 = X6 ),
theory(equality) ).
cnf(left_inverse,axiom,
multiply(inverse(X7),X7) = identity,
file('/export/starexec/sandbox/benchmark/Axioms/GRP004-0.ax',left_inverse) ).
cnf(c5,plain,
identity = multiply(inverse(X17),X17),
inference(resolution,[status(thm)],[left_inverse,symmetry]) ).
cnf(right_identity,axiom,
multiply(X4,identity) = X4,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
cnf(transitivity,axiom,
( X23 != X21
| X21 != X22
| X23 = X22 ),
theory(equality) ).
cnf(c15,plain,
( X31 != multiply(X30,identity)
| X31 = X30 ),
inference(resolution,[status(thm)],[transitivity,right_identity]) ).
cnf(c33,plain,
identity = inverse(identity),
inference(resolution,[status(thm)],[c15,c5]) ).
cnf(c52,plain,
inverse(identity) = identity,
inference(resolution,[status(thm)],[c33,symmetry]) ).
cnf(c56,plain,
$false,
inference(resolution,[status(thm)],[c52,prove_inverse_of_id_is_id]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP023-2 : TPTP v8.1.2. Released v1.0.0.
% 0.13/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.35 % Computer : n025.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 9 04:04:23 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.42/0.58 % Version: 1.5
% 0.42/0.58 % SZS status Unsatisfiable
% 0.42/0.58 % SZS output start CNFRefutation
% See solution above
% 0.42/0.58
% 0.42/0.58 % Initial clauses : 11
% 0.42/0.58 % Processed clauses : 19
% 0.42/0.58 % Factors computed : 2
% 0.42/0.58 % Resolvents computed: 60
% 0.42/0.58 % Tautologies deleted: 2
% 0.42/0.58 % Forward subsumed : 9
% 0.42/0.58 % Backward subsumed : 0
% 0.42/0.58 % -------- CPU Time ---------
% 0.42/0.58 % User time : 0.204 s
% 0.42/0.58 % System time : 0.016 s
% 0.42/0.58 % Total time : 0.220 s
%------------------------------------------------------------------------------