%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP020-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n009.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 17:22:47 EDT 2024
% Result : Unsatisfiable 0.37s 0.53s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 4 RR)
% Number of literals : 10 ( 4 equ; 4 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(prove_inverse_X_times_X_is_id,negated_conjecture,
multiply(inverse(a),a) != identity,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_X_times_X_is_id) ).
cnf(total_function1,axiom,
product(X7,X8,multiply(X7,X8)),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',total_function1) ).
cnf(left_inverse,axiom,
product(inverse(X5),X5,identity),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',left_inverse) ).
cnf(total_function2,axiom,
( ~ product(X16,X17,X19)
| ~ product(X16,X17,X18)
| X19 = X18 ),
file('/export/starexec/sandbox/benchmark/Axioms/GRP003-0.ax',total_function2) ).
cnf(c8,plain,
( ~ product(inverse(X53),X53,X52)
| X52 = identity ),
inference(resolution,[status(thm)],[total_function2,left_inverse]) ).
cnf(c55,plain,
multiply(inverse(X58),X58) = identity,
inference(resolution,[status(thm)],[c8,total_function1]) ).
cnf(c65,plain,
$false,
inference(resolution,[status(thm)],[c55,prove_inverse_X_times_X_is_id]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP020-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Thu May 9 04:16:38 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.37/0.53 % Version: 1.5
% 0.37/0.53 % SZS status Unsatisfiable
% 0.37/0.53 % SZS output start CNFRefutation
% See solution above
% 0.37/0.53
% 0.37/0.53 % Initial clauses : 15
% 0.37/0.53 % Processed clauses : 24
% 0.37/0.53 % Factors computed : 7
% 0.37/0.53 % Resolvents computed: 59
% 0.37/0.53 % Tautologies deleted: 2
% 0.37/0.53 % Forward subsumed : 13
% 0.37/0.53 % Backward subsumed : 0
% 0.37/0.53 % -------- CPU Time ---------
% 0.37/0.53 % User time : 0.176 s
% 0.37/0.53 % System time : 0.014 s
% 0.37/0.53 % Total time : 0.190 s
%------------------------------------------------------------------------------