TSTP Solution File: SET838-2 by PyRes---1.3
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.3
% Problem : SET838-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n006.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 : 600s
% DateTime : Tue Jul 19 04:40:37 EDT 2022
% Result : Unsatisfiable 0.59s 0.80s
% Output : Refutation 0.59s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named eq_axiom)
% Comments :
%------------------------------------------------------------------------------
cnf(cls_conjecture_3,negated_conjecture,
( v_xa(X22) != X22
| v_g(v_f(X22)) != X22 ),
input ).
cnf(cls_conjecture_0,negated_conjecture,
v_f(v_g(v_x)) = v_x,
input ).
cnf(c1,plain,
( X17 != X16
| v_g(X17) = v_g(X16) ),
eq_axiom ).
cnf(c13,plain,
v_g(v_f(v_g(v_x))) = v_g(v_x),
inference(resolution,status(thm),[c1,cls_conjecture_0]) ).
cnf(c33,plain,
v_xa(v_g(v_x)) != v_g(v_x),
inference(resolution,status(thm),[c13,cls_conjecture_3]) ).
cnf(symmetry,axiom,
( X3 != X4
| X4 = X3 ),
eq_axiom ).
cnf(transitivity,axiom,
( X7 != X9
| X9 != X8
| X7 = X8 ),
eq_axiom ).
cnf(cls_conjecture_2,negated_conjecture,
( v_g(v_f(v_xa(X14))) = v_xa(X14)
| v_g(v_f(X14)) != X14 ),
input ).
cnf(c34,plain,
v_g(v_f(v_xa(v_g(v_x)))) = v_xa(v_g(v_x)),
inference(resolution,status(thm),[c13,cls_conjecture_2]) ).
cnf(c92,plain,
( X39 != v_g(v_f(v_xa(v_g(v_x))))
| X39 = v_xa(v_g(v_x)) ),
inference(resolution,status(thm),[c34,transitivity]) ).
cnf(cls_conjecture_1,negated_conjecture,
( X6 = v_x
| v_f(v_g(X6)) != X6 ),
input ).
cnf(c0,plain,
( X13 != X12
| v_f(X13) = v_f(X12) ),
eq_axiom ).
cnf(c95,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),[c34,c0]) ).
cnf(c347,plain,
v_f(v_xa(v_g(v_x))) = v_x,
inference(resolution,status(thm),[c95,cls_conjecture_1]) ).
cnf(c352,plain,
v_x = v_f(v_xa(v_g(v_x))),
inference(resolution,status(thm),[c347,symmetry]) ).
cnf(c362,plain,
v_g(v_x) = v_g(v_f(v_xa(v_g(v_x)))),
inference(resolution,status(thm),[c352,c1]) ).
cnf(c410,plain,
v_g(v_x) = v_xa(v_g(v_x)),
inference(resolution,status(thm),[c362,c92]) ).
cnf(c423,plain,
v_xa(v_g(v_x)) = v_g(v_x),
inference(resolution,status(thm),[c410,symmetry]) ).
cnf(c431,plain,
$false,
inference(resolution,status(thm),[c423,c33]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET838-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n006.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 09:44:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.59/0.80 # Version: 1.3
% 0.59/0.80 # SZS status Unsatisfiable
% 0.59/0.80 # SZS output start CNFRefutation
% See solution above
% 0.59/0.80
% 0.59/0.80 # Initial clauses : 10
% 0.59/0.80 # Processed clauses : 103
% 0.59/0.80 # Factors computed : 0
% 0.59/0.80 # Resolvents computed: 429
% 0.59/0.80 # Tautologies deleted: 1
% 0.59/0.80 # Forward subsumed : 78
% 0.59/0.80 # Backward subsumed : 0
% 0.59/0.80 # -------- CPU Time ---------
% 0.59/0.80 # User time : 0.441 s
% 0.59/0.80 # System time : 0.023 s
% 0.59/0.80 # Total time : 0.464 s
%------------------------------------------------------------------------------