%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : KRS090+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 12:59:40 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 34 ( 6 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 109 ( 51 ~; 41 |; 11 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 37 ( 35 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X] :
( cC2(X)
=> ( ( cA(X)
| cB(X) )
& ( cA(X)
| ~ cB(X) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X] :
( cC3(X)
=> ( ( ~ cA(X)
| cB(X) )
& ( ~ cA(X)
| ~ cB(X) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X] :
( cC4(X)
=> ? [Y] :
( cC2(Y)
& rR(X,Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( cC5(X)
=> ! [Y] :
( rR(X,Y)
=> cC3(Y) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X] :
( cTEST(X)
=> ( cC5(X)
& cC1(X)
& cC4(X) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
cTEST(i2003_11_14_17_19_57994),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,plain,
! [X] :
( ( ( cA(X)
| cB(X) )
& ( cA(X)
| ~ cB(X) ) )
| ~ cC2(X) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f51,plain,
! [X0] :
( cA(X0)
| ~ cB(X0)
| ~ cC2(X0) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f52,plain,
! [X0] :
( cA(X0)
| cB(X0)
| ~ cC2(X0) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f53,plain,
! [X] :
( ( ( ~ cA(X)
| cB(X) )
& ( ~ cA(X)
| ~ cB(X) ) )
| ~ cC3(X) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f54,plain,
! [X0] :
( ~ cA(X0)
| ~ cB(X0)
| ~ cC3(X0) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f55,plain,
! [X0] :
( ~ cA(X0)
| cB(X0)
| ~ cC3(X0) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f56,plain,
! [X] :
( ? [Y] :
( cC2(Y)
& rR(X,Y) )
| ~ cC4(X) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f57,plain,
! [X] :
( ( cC2(sK0_skl(X))
& rR(X,sK0_skl(X)) )
| ~ cC4(X) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f56]) ).
fof(f58,plain,
! [X0] :
( rR(X0,sK0_skl(X0))
| ~ cC4(X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f59,plain,
! [X0] :
( cC2(sK0_skl(X0))
| ~ cC4(X0) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f60,plain,
! [X] :
( ! [Y] :
( cC3(Y)
| ~ rR(X,Y) )
| ~ cC5(X) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f61,plain,
! [X0,X1] :
( cC3(X1)
| ~ rR(X0,X1)
| ~ cC5(X0) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f62,plain,
! [X] :
( ( cC5(X)
& cC1(X)
& cC4(X) )
| ~ cTEST(X) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f63,plain,
! [X0] :
( cC4(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f65,plain,
! [X0] :
( cC5(X0)
| ~ cTEST(X0) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f66,plain,
cTEST(i2003_11_14_17_19_57994),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f67,plain,
! [X0] :
( cA(X0)
| ~ cC2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f52,f51]) ).
fof(f68,plain,
! [X0] :
( ~ cA(X0)
| ~ cC3(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f55,f54]) ).
fof(f69,plain,
! [X0,X1] :
( ~ cA(X1)
| ~ rR(X0,X1)
| ~ cC5(X0) ),
inference(resolution,[status(thm)],[f61,f68]) ).
fof(f70,plain,
! [X0,X1] :
( ~ cC2(X1)
| ~ rR(X0,X1)
| ~ cC5(X0) ),
inference(resolution,[status(thm)],[f69,f67]) ).
fof(f71,plain,
! [X0,X1] :
( ~ cC4(X1)
| ~ rR(X0,sK0_skl(X1))
| ~ cC5(X0) ),
inference(resolution,[status(thm)],[f70,f59]) ).
fof(f72,plain,
! [X0,X1] :
( ~ cTEST(X1)
| ~ rR(X0,sK0_skl(X1))
| ~ cC5(X0) ),
inference(resolution,[status(thm)],[f71,f63]) ).
fof(f73,plain,
! [X0] :
( ~ rR(X0,sK0_skl(i2003_11_14_17_19_57994))
| ~ cC5(X0) ),
inference(resolution,[status(thm)],[f72,f66]) ).
fof(f74,plain,
! [X0] :
( ~ cTEST(X0)
| ~ rR(X0,sK0_skl(i2003_11_14_17_19_57994)) ),
inference(resolution,[status(thm)],[f73,f65]) ).
fof(f75,plain,
~ rR(i2003_11_14_17_19_57994,sK0_skl(i2003_11_14_17_19_57994)),
inference(resolution,[status(thm)],[f74,f66]) ).
fof(f76,plain,
~ cC4(i2003_11_14_17_19_57994),
inference(resolution,[status(thm)],[f75,f58]) ).
fof(f77,plain,
~ cTEST(i2003_11_14_17_19_57994),
inference(resolution,[status(thm)],[f76,f63]) ).
fof(f78,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f77,f66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : KRS090+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n019.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 20 22:53:37 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.39 % Elapsed time: 0.028469 seconds
% 0.14/0.39 % CPU time: 0.076746 seconds
% 0.14/0.39 % Total memory used: 3.396 MB
% 0.14/0.39 % Net memory used: 3.374 MB
%------------------------------------------------------------------------------