%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : GRP006-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n004.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 17:22:45 EDT 2024
% Result : Unsatisfiable 0.21s 0.53s
% Output : Refutation 0.21s
% 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_b_inverse_is_in_set,negated_conjecture,
~ an_element(inverse(the_element)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_b_inverse_is_in_set) ).
cnf(element_of_set,plain,
an_element(the_element),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',element_of_set) ).
cnf(right_inverse,axiom,
product(X4,inverse(X4),identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
cnf(condition,axiom,
( ~ an_element(X6)
| ~ an_element(X8)
| ~ product(X6,inverse(X8),X7)
| an_element(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition) ).
cnf(c2,plain,
( ~ an_element(X9)
| an_element(identity) ),
inference(resolution,[status(thm)],[condition,right_inverse]) ).
cnf(c3,plain,
an_element(identity),
inference(resolution,[status(thm)],[c2,element_of_set]) ).
cnf(left_identity,axiom,
product(identity,X2,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
cnf(c1,plain,
( ~ an_element(identity)
| ~ an_element(X10)
| an_element(inverse(X10)) ),
inference(resolution,[status(thm)],[condition,left_identity]) ).
cnf(c6,plain,
( ~ an_element(identity)
| an_element(inverse(the_element)) ),
inference(resolution,[status(thm)],[c1,element_of_set]) ).
cnf(c15,plain,
an_element(inverse(the_element)),
inference(resolution,[status(thm)],[c6,c3]) ).
cnf(c16,plain,
$false,
inference(resolution,[status(thm)],[c15,prove_b_inverse_is_in_set]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP006-1 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu May 9 04:31:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.53 % Version: 1.5
% 0.21/0.53 % SZS status Unsatisfiable
% 0.21/0.53 % SZS output start CNFRefutation
% See solution above
% 0.21/0.53
% 0.21/0.53 % Initial clauses : 9
% 0.21/0.53 % Processed clauses : 15
% 0.21/0.53 % Factors computed : 3
% 0.21/0.53 % Resolvents computed: 15
% 0.21/0.53 % Tautologies deleted: 0
% 0.21/0.53 % Forward subsumed : 1
% 0.21/0.53 % Backward subsumed : 3
% 0.21/0.53 % -------- CPU Time ---------
% 0.21/0.53 % User time : 0.163 s
% 0.21/0.53 % System time : 0.016 s
% 0.21/0.53 % Total time : 0.179 s
%------------------------------------------------------------------------------