%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN590-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 03:16:52 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 7 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 86 ( 47 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
p11(c16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
p3(f4(c16),f6(c15)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [X4] :
( ~ p11(X4)
| p11(f9(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [X5,X6] :
( ~ p10(f6(X5),f6(X6))
| p12(X5,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [X24] :
( ~ p11(X24)
| p3(f4(X24),f6(f8(X24))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [X4] :
( ~ p11(X4)
| p10(f4(f9(X4)),f4(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [X34,X35] :
( ~ p3(f4(X34),f6(X35))
| ~ p12(X35,c15)
| ~ p11(X34) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [X0,X1,X2,X3] :
( ~ p10(X2,X3)
| ~ p3(X3,X1)
| ~ p3(X2,X0)
| p10(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,plain,
p11(c16),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f35,plain,
p3(f4(c16),f6(c15)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f36,plain,
! [X0] :
( ~ p11(X0)
| p11(f9(X0)) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f38,plain,
! [X0,X1] :
( ~ p10(f6(X0),f6(X1))
| p12(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f45,plain,
! [X0] :
( ~ p11(X0)
| p3(f4(X0),f6(f8(X0))) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f46,plain,
! [X0] :
( ~ p11(X0)
| p10(f4(f9(X0)),f4(X0)) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f55,plain,
! [X0,X1] :
( ~ p3(f4(X0),f6(X1))
| ~ p12(X1,c15)
| ~ p11(X0) ),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f56,plain,
! [X2,X3] :
( ~ p10(X2,X3)
| ! [X1] :
( ~ p3(X3,X1)
| ! [X0] :
( ~ p3(X2,X0)
| p10(X0,X1) ) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f57,plain,
! [X0,X1,X2,X3] :
( ~ p10(X2,X3)
| ~ p3(X3,X1)
| ~ p3(X2,X0)
| p10(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f60,plain,
! [X0,X1,X2,X3] :
( p12(X1,X3)
| ~ p10(X0,X2)
| ~ p3(X2,f6(X3))
| ~ p3(X0,f6(X1)) ),
inference(resolution,[status(thm)],[f57,f38]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ p11(X0)
| p12(X1,X2)
| ~ p3(f4(X0),f6(X2))
| ~ p3(f4(f9(X0)),f6(X1)) ),
inference(resolution,[status(thm)],[f60,f46]) ).
fof(f67,plain,
! [X0,X1] :
( ~ p11(f9(X0))
| ~ p11(X0)
| p12(f8(f9(X0)),X1)
| ~ p3(f4(X0),f6(X1)) ),
inference(resolution,[status(thm)],[f62,f45]) ).
fof(f69,plain,
! [X0,X1] :
( ~ p11(X0)
| p12(f8(f9(X0)),X1)
| ~ p3(f4(X0),f6(X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f67,f36]) ).
fof(f73,plain,
! [X0,X1] :
( ~ p3(f4(X1),f6(f8(f9(X0))))
| ~ p11(X1)
| ~ p11(X0)
| ~ p3(f4(X0),f6(c15)) ),
inference(resolution,[status(thm)],[f69,f55]) ).
fof(f112,plain,
! [X0] :
( ~ p3(f4(X0),f6(f8(f9(c16))))
| ~ p11(X0)
| ~ p11(c16) ),
inference(resolution,[status(thm)],[f73,f35]) ).
fof(f114,plain,
! [X0] :
( ~ p3(f4(X0),f6(f8(f9(c16))))
| ~ p11(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f112,f30]) ).
fof(f121,plain,
( ~ p11(f9(c16))
| ~ p11(f9(c16)) ),
inference(resolution,[status(thm)],[f114,f45]) ).
fof(f123,plain,
~ p11(f9(c16)),
inference(duplicate_literals_removal,[status(thm)],[f121]) ).
fof(f127,plain,
~ p11(c16),
inference(resolution,[status(thm)],[f123,f36]) ).
fof(f129,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f127,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN590-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 11:14:08 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.42 % Elapsed time: 0.047420 seconds
% 0.09/0.42 % CPU time: 0.156851 seconds
% 0.09/0.42 % Total memory used: 31.241 MB
% 0.09/0.42 % Net memory used: 30.941 MB
%------------------------------------------------------------------------------