TSTP Solution File: CSR109+7 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : CSR109+7 : TPTP v8.1.2. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 : Tue Apr 30 20:15:13 EDT 2024
% Result : Theorem 94.07s 14.30s
% Output : CNFRefutation 98.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 10 unt; 0 def)
% Number of atoms : 104 ( 13 equ)
% Maximal formula atoms : 22 ( 5 avg)
% Number of connectives : 129 ( 43 ~; 44 |; 38 &)
% ( 2 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 60 ( 52 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
s__instance(s__Suhur__t,s__SetOrClass),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32412,axiom,
! [V__C2,V__U,V__C1] :
( V__U = s__UnionFn(V__C1,V__C2)
<=> ! [V__I1,V__I2,V__I3] :
( ( s__instance(V__C1,s__SetOrClass)
& s__instance(V__U,s__SetOrClass)
& s__instance(V__C2,s__SetOrClass) )
=> ( ( s__instance(V__I1,V__C1)
& s__instance(V__I2,V__C2)
& s__instance(V__I3,V__U) )
=> ( s__instance(V__I1,V__U)
& s__instance(V__I2,V__U)
& ( s__instance(V__I3,V__C1)
| s__instance(V__I3,V__C2) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55589,conjecture,
? [X__s__Creature50_1] : s__instance(X__s__Creature50_1,s__Reptile),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f55590,negated_conjecture,
~ ? [X__s__Creature50_1] : s__instance(X__s__Creature50_1,s__Reptile),
inference(negated_conjecture,[status(cth)],[f55589]) ).
fof(f55596,plain,
s__instance(s__Suhur__t,s__SetOrClass),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f123581,plain,
! [V__C2,V__U,V__C1] :
( V__U = s__UnionFn(V__C1,V__C2)
<=> ! [V__I1,V__I2,V__I3] :
( ~ s__instance(V__C1,s__SetOrClass)
| ~ s__instance(V__U,s__SetOrClass)
| ~ s__instance(V__C2,s__SetOrClass)
| ~ s__instance(V__I1,V__C1)
| ~ s__instance(V__I2,V__C2)
| ~ s__instance(V__I3,V__U)
| ( s__instance(V__I1,V__U)
& s__instance(V__I2,V__U)
& ( s__instance(V__I3,V__C1)
| s__instance(V__I3,V__C2) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f32412]) ).
fof(f123582,plain,
! [V__C2,V__U,V__C1] :
( ( V__U != s__UnionFn(V__C1,V__C2)
| ! [V__I1,V__I2,V__I3] :
( ~ s__instance(V__C1,s__SetOrClass)
| ~ s__instance(V__U,s__SetOrClass)
| ~ s__instance(V__C2,s__SetOrClass)
| ~ s__instance(V__I1,V__C1)
| ~ s__instance(V__I2,V__C2)
| ~ s__instance(V__I3,V__U)
| ( s__instance(V__I1,V__U)
& s__instance(V__I2,V__U)
& ( s__instance(V__I3,V__C1)
| s__instance(V__I3,V__C2) ) ) ) )
& ( V__U = s__UnionFn(V__C1,V__C2)
| ? [V__I1,V__I2,V__I3] :
( s__instance(V__C1,s__SetOrClass)
& s__instance(V__U,s__SetOrClass)
& s__instance(V__C2,s__SetOrClass)
& s__instance(V__I1,V__C1)
& s__instance(V__I2,V__C2)
& s__instance(V__I3,V__U)
& ( ~ s__instance(V__I1,V__U)
| ~ s__instance(V__I2,V__U)
| ( ~ s__instance(V__I3,V__C1)
& ~ s__instance(V__I3,V__C2) ) ) ) ) ),
inference(NNF_transformation,[status(esa)],[f123581]) ).
fof(f123583,plain,
( ! [V__C2,V__U,V__C1] :
( V__U != s__UnionFn(V__C1,V__C2)
| ~ s__instance(V__C1,s__SetOrClass)
| ~ s__instance(V__U,s__SetOrClass)
| ~ s__instance(V__C2,s__SetOrClass)
| ! [V__I1,V__I2,V__I3] :
( ~ s__instance(V__I1,V__C1)
| ~ s__instance(V__I2,V__C2)
| ~ s__instance(V__I3,V__U)
| ( s__instance(V__I1,V__U)
& s__instance(V__I2,V__U)
& ( s__instance(V__I3,V__C1)
| s__instance(V__I3,V__C2) ) ) ) )
& ! [V__C2,V__U,V__C1] :
( V__U = s__UnionFn(V__C1,V__C2)
| ( s__instance(V__C1,s__SetOrClass)
& s__instance(V__U,s__SetOrClass)
& s__instance(V__C2,s__SetOrClass)
& ? [V__I1,V__I2,V__I3] :
( s__instance(V__I1,V__C1)
& s__instance(V__I2,V__C2)
& s__instance(V__I3,V__U)
& ( ~ s__instance(V__I1,V__U)
| ~ s__instance(V__I2,V__U)
| ( ~ s__instance(V__I3,V__C1)
& ~ s__instance(V__I3,V__C2) ) ) ) ) ) ),
inference(miniscoping,[status(esa)],[f123582]) ).
fof(f123584,plain,
( ! [V__C2,V__U,V__C1] :
( V__U != s__UnionFn(V__C1,V__C2)
| ~ s__instance(V__C1,s__SetOrClass)
| ~ s__instance(V__U,s__SetOrClass)
| ~ s__instance(V__C2,s__SetOrClass)
| ! [V__I1,V__I2,V__I3] :
( ~ s__instance(V__I1,V__C1)
| ~ s__instance(V__I2,V__C2)
| ~ s__instance(V__I3,V__U)
| ( s__instance(V__I1,V__U)
& s__instance(V__I2,V__U)
& ( s__instance(V__I3,V__C1)
| s__instance(V__I3,V__C2) ) ) ) )
& ! [V__C2,V__U,V__C1] :
( V__U = s__UnionFn(V__C1,V__C2)
| ( s__instance(V__C1,s__SetOrClass)
& s__instance(V__U,s__SetOrClass)
& s__instance(V__C2,s__SetOrClass)
& s__instance(sk0_4526(V__C1,V__U,V__C2),V__C1)
& s__instance(sk0_4527(V__C1,V__U,V__C2),V__C2)
& s__instance(sk0_4528(V__C1,V__U,V__C2),V__U)
& ( ~ s__instance(sk0_4526(V__C1,V__U,V__C2),V__U)
| ~ s__instance(sk0_4527(V__C1,V__U,V__C2),V__U)
| ( ~ s__instance(sk0_4528(V__C1,V__U,V__C2),V__C1)
& ~ s__instance(sk0_4528(V__C1,V__U,V__C2),V__C2) ) ) ) ) ),
inference(skolemization,[status(esa)],[f123583]) ).
fof(f123592,plain,
! [X0,X1,X2] :
( X0 = s__UnionFn(X1,X2)
| s__instance(sk0_4527(X1,X0,X2),X2) ),
inference(cnf_transformation,[status(esa)],[f123584]) ).
fof(f123593,plain,
! [X0,X1,X2] :
( X0 = s__UnionFn(X1,X2)
| s__instance(sk0_4528(X1,X0,X2),X0) ),
inference(cnf_transformation,[status(esa)],[f123584]) ).
fof(f156926,plain,
! [X__s__Creature50_1] : ~ s__instance(X__s__Creature50_1,s__Reptile),
inference(pre_NNF_transformation,[status(esa)],[f55590]) ).
fof(f156927,plain,
! [X0] : ~ s__instance(X0,s__Reptile),
inference(cnf_transformation,[status(esa)],[f156926]) ).
fof(f167891,plain,
! [X0,X1] : s__Reptile = s__UnionFn(X0,X1),
inference(resolution,[status(thm)],[f123593,f156927]) ).
fof(f167909,plain,
! [X0,X1,X2] :
( X0 = s__Reptile
| s__instance(sk0_4527(X1,X0,X2),X2) ),
inference(forward_demodulation,[status(thm)],[f167891,f123592]) ).
fof(f167910,plain,
! [X0] : X0 = s__Reptile,
inference(resolution,[status(thm)],[f167909,f156927]) ).
fof(f167914,plain,
! [X0,X1] : ~ s__instance(X0,X1),
inference(paramodulation,[status(thm)],[f167910,f156927]) ).
fof(f167915,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f55596,f167914]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.13 % Problem : CSR109+7 : TPTP v8.1.2. Bugfixed v7.3.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.35 % Computer : n007.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8042.1875MB
% 0.11/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Apr 29 23:38:32 EDT 2024
% 0.11/0.35 % CPUTime :
% 2.41/2.67 % Drodi V3.6.0
% 94.07/14.30 % Refutation found
% 94.07/14.30 % SZS status Theorem for theBenchmark: Theorem is valid
% 94.07/14.30 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 99.45/15.02 % Elapsed time: 14.602252 seconds
% 99.45/15.02 % CPU time: 95.961469 seconds
% 99.45/15.02 % Total memory used: 4.035 GB
% 99.45/15.02 % Net memory used: 4.006 GB
%------------------------------------------------------------------------------