%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : NUM854+2 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n013.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 17:36:51 EDT 2024
% Result : Theorem 0.67s 0.84s
% Output : Refutation 0.67s
% 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(conjunct1(315), 514, 0)',conjecture,
greater(vmul(vd508,vd511),vmul(vd509,vd511)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(315), 514, 0)') ).
fof(c86,negated_conjecture,
~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(assume_negation,[status(cth)],['holds(conjunct1(315), 514, 0)']) ).
fof(c87,negated_conjecture,
~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(fof_simplification,[status(thm)],[c86]) ).
cnf(c88,negated_conjecture,
~ greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(split_conjunct,[status(thm)],[c87]) ).
fof('holds(conjunct1(314), 510, 0)',axiom,
greater(vd508,vd509),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conjunct1(314), 510, 0)') ).
cnf(c84,plain,
greater(vd508,vd509),
inference(split_conjunct,[status(thm)],['holds(conjunct1(314), 510, 0)']) ).
fof('ass(cond(299, 0), 2)',axiom,
! [Vd456,Vd457,Vd458] :
( greater(Vd457,Vd458)
=> greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(299, 0), 2)') ).
fof(c66,plain,
! [Vd456,Vd457,Vd458] :
( ~ greater(Vd457,Vd458)
| greater(vmul(Vd457,Vd456),vmul(Vd458,Vd456)) ),
inference(fof_nnf,[status(thm)],['ass(cond(299, 0), 2)']) ).
fof(c67,plain,
! [X54,X55,X56] :
( ~ greater(X55,X56)
| greater(vmul(X55,X54),vmul(X56,X54)) ),
inference(variable_rename,[status(thm)],[c66]) ).
cnf(c68,plain,
( ~ greater(X234,X232)
| greater(vmul(X234,X233),vmul(X232,X233)) ),
inference(split_conjunct,[status(thm)],[c67]) ).
cnf(c366,plain,
greater(vmul(vd508,X351),vmul(vd509,X351)),
inference(resolution,[status(thm)],[c68,c84]) ).
cnf(c926,plain,
$false,
inference(resolution,[status(thm)],[c366,c88]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM854+2 : TPTP v8.1.2. Released v4.1.0.
% 0.13/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.13/0.35 % Computer : n013.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 : Wed May 8 16:42:38 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.67/0.84 % Version: 1.5
% 0.67/0.84 % SZS status Theorem
% 0.67/0.84 % SZS output start CNFRefutation
% See solution above
% 0.67/0.84
% 0.67/0.84 % Initial clauses : 38
% 0.67/0.84 % Processed clauses : 108
% 0.67/0.84 % Factors computed : 6
% 0.67/0.84 % Resolvents computed: 834
% 0.67/0.84 % Tautologies deleted: 5
% 0.67/0.84 % Forward subsumed : 62
% 0.67/0.84 % Backward subsumed : 0
% 0.67/0.84 % -------- CPU Time ---------
% 0.67/0.84 % User time : 0.459 s
% 0.67/0.84 % System time : 0.022 s
% 0.67/0.84 % Total time : 0.481 s
%------------------------------------------------------------------------------