%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SET838-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n016.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 17:40:12 EDT 2024
% Result : Unsatisfiable 0.76s 0.92s
% Output : Refutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 19 ( 11 unt; 0 nHn; 19 RR)
% Number of literals : 28 ( 27 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-1 aty)
% Number of variables : 13 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
( v_xa(X22) != X22
| v_g(v_f(X22)) != X22 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_conjecture_0,negated_conjecture,
v_f(v_g(v_x)) = v_x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(c1,axiom,
( X17 != X18
| v_g(X17) = v_g(X18) ),
theory(equality) ).
cnf(c16,plain,
v_g(v_f(v_g(v_x))) = v_g(v_x),
inference(resolution,[status(thm)],[c1,cls_conjecture_0]) ).
cnf(c45,plain,
v_xa(v_g(v_x)) != v_g(v_x),
inference(resolution,[status(thm)],[c16,cls_conjecture_3]) ).
cnf(symmetry,axiom,
( X4 != X3
| X3 = X4 ),
theory(equality) ).
cnf(cls_conjecture_1,negated_conjecture,
( X6 = v_x
| v_f(v_g(X6)) != X6 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(c0,axiom,
( X14 != X15
| v_f(X14) = v_f(X15) ),
theory(equality) ).
cnf(cls_conjecture_2,negated_conjecture,
( v_g(v_f(v_xa(X13))) = v_xa(X13)
| v_g(v_f(X13)) != X13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(c42,plain,
v_g(v_f(v_xa(v_g(v_x)))) = v_xa(v_g(v_x)),
inference(resolution,[status(thm)],[c16,cls_conjecture_2]) ).
cnf(c135,plain,
v_f(v_g(v_f(v_xa(v_g(v_x))))) = v_f(v_xa(v_g(v_x))),
inference(resolution,[status(thm)],[c42,c0]) ).
cnf(c437,plain,
v_f(v_xa(v_g(v_x))) = v_x,
inference(resolution,[status(thm)],[c135,cls_conjecture_1]) ).
cnf(c441,plain,
v_x = v_f(v_xa(v_g(v_x))),
inference(resolution,[status(thm)],[c437,symmetry]) ).
cnf(c449,plain,
v_g(v_x) = v_g(v_f(v_xa(v_g(v_x)))),
inference(resolution,[status(thm)],[c441,c1]) ).
cnf(transitivity,axiom,
( X9 != X7
| X7 != X8
| X9 = X8 ),
theory(equality) ).
cnf(c140,plain,
( X48 != v_g(v_f(v_xa(v_g(v_x))))
| X48 = v_xa(v_g(v_x)) ),
inference(resolution,[status(thm)],[c42,transitivity]) ).
cnf(c525,plain,
v_g(v_x) = v_xa(v_g(v_x)),
inference(resolution,[status(thm)],[c140,c449]) ).
cnf(c527,plain,
v_xa(v_g(v_x)) = v_g(v_x),
inference(resolution,[status(thm)],[c525,symmetry]) ).
cnf(c533,plain,
$false,
inference(resolution,[status(thm)],[c527,c45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET838-2 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.14/0.35 % Computer : n016.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 : Wed May 8 19:40:23 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.76/0.92 % Version: 1.5
% 0.76/0.92 % SZS status Unsatisfiable
% 0.76/0.92 % SZS output start CNFRefutation
% See solution above
% 0.76/0.92
% 0.76/0.92 % Initial clauses : 10
% 0.76/0.92 % Processed clauses : 125
% 0.76/0.92 % Factors computed : 1
% 0.76/0.92 % Resolvents computed: 535
% 0.76/0.92 % Tautologies deleted: 2
% 0.76/0.92 % Forward subsumed : 91
% 0.76/0.92 % Backward subsumed : 0
% 0.76/0.92 % -------- CPU Time ---------
% 0.76/0.92 % User time : 0.557 s
% 0.76/0.92 % System time : 0.015 s
% 0.76/0.92 % Total time : 0.572 s
%------------------------------------------------------------------------------