TSTP Solution File: KRS003-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : KRS003-1 : TPTP v8.1.2. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n017.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 20:24:35 EDT 2024
% Result : Unsatisfiable 0.10s 0.33s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 31 ( 10 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 70 ( 38 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
e(exist),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
f(exist),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X1] :
( s2least(X1)
| ~ c(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X1] :
( ~ s2least(X1)
| ~ equalish(u1r2(X1),u1r1(X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X1] :
( s(X1,u1r1(X1))
| ~ s2least(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X1] :
( s(X1,u1r2(X1))
| ~ s2least(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X1] :
( s1most(X1)
| ~ d(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X3,X2,X1] :
( equalish(X3,X2)
| ~ s1most(X1)
| ~ s(X1,X3)
| ~ s(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [X1] :
( c(X1)
| ~ e(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [X1] :
( d(X1)
| ~ f(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,plain,
e(exist),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f18,plain,
f(exist),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f19,plain,
! [X0] :
( s2least(X0)
| ~ c(X0) ),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f21,plain,
! [X0] :
( ~ s2least(X0)
| ~ equalish(u1r2(X0),u1r1(X0)) ),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f22,plain,
! [X0] :
( s(X0,u1r1(X0))
| ~ s2least(X0) ),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f23,plain,
! [X0] :
( s(X0,u1r2(X0))
| ~ s2least(X0) ),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f26,plain,
! [X0] :
( s1most(X0)
| ~ d(X0) ),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f28,plain,
! [X2,X1] :
( ! [X3] :
( equalish(X3,X2)
| ~ s1most(X1)
| ~ s(X1,X3) )
| ~ s(X1,X2) ),
inference(miniscoping,[status(esa)],[f11]) ).
fof(f29,plain,
! [X0,X1,X2] :
( equalish(X0,X1)
| ~ s1most(X2)
| ~ s(X2,X0)
| ~ s(X2,X1) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f33,plain,
! [X0] :
( c(X0)
| ~ e(X0) ),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f34,plain,
! [X0] :
( d(X0)
| ~ f(X0) ),
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f35,plain,
c(exist),
inference(resolution,[status(thm)],[f33,f17]) ).
fof(f36,plain,
d(exist),
inference(resolution,[status(thm)],[f34,f18]) ).
fof(f37,plain,
s2least(exist),
inference(resolution,[status(thm)],[f19,f35]) ).
fof(f39,plain,
s1most(exist),
inference(resolution,[status(thm)],[f26,f36]) ).
fof(f44,plain,
! [X0,X1] :
( equalish(X0,u1r1(X1))
| ~ s1most(X1)
| ~ s(X1,X0)
| ~ s2least(X1) ),
inference(resolution,[status(thm)],[f29,f22]) ).
fof(f50,plain,
! [X0] :
( ~ s1most(X0)
| ~ s(X0,u1r2(X0))
| ~ s2least(X0)
| ~ s2least(X0) ),
inference(resolution,[status(thm)],[f44,f21]) ).
fof(f51,plain,
! [X0] :
( ~ s1most(X0)
| ~ s(X0,u1r2(X0))
| ~ s2least(X0) ),
inference(duplicate_literals_removal,[status(esa)],[f50]) ).
fof(f52,plain,
! [X0] :
( ~ s1most(X0)
| ~ s2least(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f51,f23]) ).
fof(f53,plain,
~ s2least(exist),
inference(resolution,[status(thm)],[f52,f39]) ).
fof(f54,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f53,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : KRS003-1 : TPTP v8.1.2. Released v2.0.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n017.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Mon Apr 29 22:58:48 EDT 2024
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Drodi V3.6.0
% 0.10/0.33 % Refutation found
% 0.10/0.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.33 % Elapsed time: 0.013840 seconds
% 0.10/0.33 % CPU time: 0.027602 seconds
% 0.10/0.33 % Total memory used: 2.022 MB
% 0.10/0.33 % Net memory used: 1.994 MB
%------------------------------------------------------------------------------