%------------------------------------------------------------------------------
% File : PyRes---1.5
% Problem : SWV389+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% Computer : n015.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 17:44:53 EDT 2024
% Result : Theorem 8.09s 8.25s
% Output : Refutation 8.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 2
% Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 43 ( 22 ~; 10 |; 7 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-1 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-3 aty)
% Number of variables : 27 ( 0 sgn 18 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(l25_co,conjecture,
! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ( ~ check_cpq(removemin_cpq_eff(triple(U,V,W)))
| ~ ok(removemin_cpq_eff(triple(U,V,W))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l25_co) ).
fof(c24,negated_conjecture,
~ ! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ( ~ check_cpq(removemin_cpq_eff(triple(U,V,W)))
| ~ ok(removemin_cpq_eff(triple(U,V,W))) ) ),
inference(assume_negation,[status(cth)],[l25_co]) ).
fof(c25,negated_conjecture,
~ ! [U,V,W] :
( ~ check_cpq(triple(U,V,W))
=> ( ~ check_cpq(removemin_cpq_eff(triple(U,V,W)))
| ~ ok(removemin_cpq_eff(triple(U,V,W))) ) ),
inference(fof_simplification,[status(thm)],[c24]) ).
fof(c26,negated_conjecture,
? [U,V,W] :
( ~ check_cpq(triple(U,V,W))
& check_cpq(removemin_cpq_eff(triple(U,V,W)))
& ok(removemin_cpq_eff(triple(U,V,W))) ),
inference(fof_nnf,[status(thm)],[c25]) ).
fof(c27,negated_conjecture,
? [X2,X3,X4] :
( ~ check_cpq(triple(X2,X3,X4))
& check_cpq(removemin_cpq_eff(triple(X2,X3,X4)))
& ok(removemin_cpq_eff(triple(X2,X3,X4))) ),
inference(variable_rename,[status(thm)],[c26]) ).
fof(c28,negated_conjecture,
( ~ check_cpq(triple(skolem0001,skolem0002,skolem0003))
& check_cpq(removemin_cpq_eff(triple(skolem0001,skolem0002,skolem0003)))
& ok(removemin_cpq_eff(triple(skolem0001,skolem0002,skolem0003))) ),
inference(skolemize,[status(esa)],[c27]) ).
cnf(c29,negated_conjecture,
~ check_cpq(triple(skolem0001,skolem0002,skolem0003)),
inference(split_conjunct,[status(thm)],[c28]) ).
cnf(c30,negated_conjecture,
check_cpq(removemin_cpq_eff(triple(skolem0001,skolem0002,skolem0003))),
inference(split_conjunct,[status(thm)],[c28]) ).
cnf(c31,negated_conjecture,
ok(removemin_cpq_eff(triple(skolem0001,skolem0002,skolem0003))),
inference(split_conjunct,[status(thm)],[c28]) ).
fof(l25_l40,plain,
! [U,V,W] :
( ( check_cpq(removemin_cpq_eff(triple(U,V,W)))
& ok(removemin_cpq_eff(triple(U,V,W))) )
=> check_cpq(triple(U,V,W)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l25_l40) ).
fof(c32,plain,
! [U,V,W] :
( ~ check_cpq(removemin_cpq_eff(triple(U,V,W)))
| ~ ok(removemin_cpq_eff(triple(U,V,W)))
| check_cpq(triple(U,V,W)) ),
inference(fof_nnf,[status(thm)],[l25_l40]) ).
fof(c33,plain,
! [X5,X6,X7] :
( ~ check_cpq(removemin_cpq_eff(triple(X5,X6,X7)))
| ~ ok(removemin_cpq_eff(triple(X5,X6,X7)))
| check_cpq(triple(X5,X6,X7)) ),
inference(variable_rename,[status(thm)],[c32]) ).
cnf(c34,plain,
( ~ check_cpq(removemin_cpq_eff(triple(X410,X408,X409)))
| ~ ok(removemin_cpq_eff(triple(X410,X408,X409)))
| check_cpq(triple(X410,X408,X409)) ),
inference(split_conjunct,[status(thm)],[c33]) ).
cnf(c625,plain,
( ~ check_cpq(removemin_cpq_eff(triple(skolem0001,skolem0002,skolem0003)))
| check_cpq(triple(skolem0001,skolem0002,skolem0003)) ),
inference(resolution,[status(thm)],[c34,c31]) ).
cnf(c13794,plain,
check_cpq(triple(skolem0001,skolem0002,skolem0003)),
inference(resolution,[status(thm)],[c625,c30]) ).
cnf(c13795,plain,
$false,
inference(resolution,[status(thm)],[c13794,c29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWV389+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : pyres-fof.py -tifbsVp -nlargest -HPickGiven5 %s
% 0.15/0.35 % Computer : n015.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu May 9 05:59:23 EDT 2024
% 0.15/0.36 % CPUTime :
% 8.09/8.25 % Version: 1.5
% 8.09/8.25 % SZS status Theorem
% 8.09/8.25 % SZS output start CNFRefutation
% See solution above
% 8.09/8.25
% 8.09/8.25 % Initial clauses : 81
% 8.09/8.25 % Processed clauses : 972
% 8.09/8.25 % Factors computed : 36
% 8.09/8.25 % Resolvents computed: 13574
% 8.09/8.25 % Tautologies deleted: 8
% 8.09/8.25 % Forward subsumed : 599
% 8.09/8.25 % Backward subsumed : 4
% 8.09/8.25 % -------- CPU Time ---------
% 8.09/8.25 % User time : 7.847 s
% 8.09/8.25 % System time : 0.043 s
% 8.09/8.25 % Total time : 7.890 s
%------------------------------------------------------------------------------