TSTP Solution File: NUM838+2 by PyRes---1.5
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- Process Solution
%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : NUM838+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n024.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 17:36:48 EDT 2024
% Result : Theorem 0.49s 0.71s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 3
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 16 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 3 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 13 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof('holds(conseq(195), 305, 0)',conjecture,
greater(vplus(vd301,vd303),vplus(vd302,vd303)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq(195), 305, 0)') ).
fof(c101,negated_conjecture,
~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
inference(assume_negation,[status(cth)],['holds(conseq(195), 305, 0)']) ).
fof(c102,negated_conjecture,
~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
inference(fof_simplification,[status(thm)],[c101]) ).
cnf(c103,negated_conjecture,
~ greater(vplus(vd301,vd303),vplus(vd302,vd303)),
inference(split_conjunct,[status(thm)],[c102]) ).
fof('holds(antec(195), 304, 0)',axiom,
greater(vd301,vd302),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(antec(195), 304, 0)') ).
cnf(c100,plain,
greater(vd301,vd302),
inference(split_conjunct,[status(thm)],['holds(antec(195), 304, 0)']) ).
fof('ass(cond(proof(196), 0), 4)',axiom,
! [Vd310,Vd311,Vd312] :
( greater(Vd311,Vd312)
=> greater(vplus(Vd311,Vd310),vplus(Vd312,Vd310)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(proof(196), 0), 4)') ).
fof(c84,plain,
! [Vd310,Vd311,Vd312] :
( ~ greater(Vd311,Vd312)
| greater(vplus(Vd311,Vd310),vplus(Vd312,Vd310)) ),
inference(fof_nnf,[status(thm)],['ass(cond(proof(196), 0), 4)']) ).
fof(c85,plain,
! [X69,X70,X71] :
( ~ greater(X70,X71)
| greater(vplus(X70,X69),vplus(X71,X69)) ),
inference(variable_rename,[status(thm)],[c84]) ).
cnf(c86,plain,
( ~ greater(X304,X305)
| greater(vplus(X304,X303),vplus(X305,X303)) ),
inference(split_conjunct,[status(thm)],[c85]) ).
cnf(c437,plain,
greater(vplus(vd301,X346),vplus(vd302,X346)),
inference(resolution,[status(thm)],[c86,c100]) ).
cnf(c491,plain,
$false,
inference(resolution,[status(thm)],[c437,c103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM838+2 : TPTP v8.1.2. Released v4.1.0.
% 0.03/0.13 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.12/0.34 % Computer : n024.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 : 300
% 0.12/0.34 % DateTime : Wed May 8 16:19:22 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.49/0.71 % Version: 1.5
% 0.49/0.71 % SZS status Theorem
% 0.49/0.71 % SZS output start CNFRefutation
% See solution above
% 0.49/0.71
% 0.49/0.71 % Initial clauses : 42
% 0.49/0.71 % Processed clauses : 70
% 0.49/0.71 % Factors computed : 7
% 0.49/0.71 % Resolvents computed: 383
% 0.49/0.71 % Tautologies deleted: 9
% 0.49/0.71 % Forward subsumed : 69
% 0.49/0.71 % Backward subsumed : 0
% 0.49/0.71 % -------- CPU Time ---------
% 0.49/0.71 % User time : 0.344 s
% 0.49/0.71 % System time : 0.020 s
% 0.49/0.71 % Total time : 0.364 s
%------------------------------------------------------------------------------