%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN587-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 03:16:51 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 14 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 66 ( 34 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X24] : p3(X24,X24),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X13] : p2(X13,X13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p3(c21,c19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [X14,X15,X13] :
( ~ p2(X13,X15)
| ~ p2(X13,X14)
| p2(X14,X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X9,X10,X11,X12] :
( ~ p15(X11,X12)
| ~ p2(X12,X10)
| ~ p2(X11,X9)
| p15(X9,X10) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X16,X17,X18,X19] :
( ~ p3(X17,X19)
| ~ p2(X16,X18)
| p2(f4(X16,X17),f4(X18,X19)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,plain,
! [X0] : p3(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f30,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f31,plain,
p3(c21,c19),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f45,plain,
! [X15,X13] :
( ~ p2(X13,X15)
| ! [X14] :
( ~ p2(X13,X14)
| p2(X14,X15) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f47,plain,
! [X11,X12] :
( ~ p15(X11,X12)
| ! [X10] :
( ~ p2(X12,X10)
| ! [X9] :
( ~ p2(X11,X9)
| p15(X9,X10) ) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f48,plain,
! [X0,X1,X2,X3] :
( ~ p15(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p15(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f47]) ).
fof(f49,plain,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f50,plain,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f51,plain,
! [X17,X19] :
( ~ p3(X17,X19)
| ! [X16,X18] :
( ~ p2(X16,X18)
| p2(f4(X16,X17),f4(X18,X19)) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f52,plain,
! [X0,X1,X2,X3] :
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p2(f4(X0,X1),f4(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f68,plain,
! [X0,X1] :
( ~ p2(X1,X0)
| p2(X0,X1) ),
inference(resolution,[status(thm)],[f46,f30]) ).
fof(f75,plain,
! [X0,X1] :
( ~ p2(c20,X1)
| ~ p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),X0)
| p15(X0,X1) ),
inference(resolution,[status(thm)],[f49,f48]) ).
fof(f76,plain,
! [X0,X1,X2] :
( ~ p3(X1,X2)
| p2(f4(X0,X1),f4(X0,X2)) ),
inference(resolution,[status(thm)],[f52,f30]) ).
fof(f78,plain,
! [X0,X1,X2] :
( p2(f4(X2,X1),f4(X2,X0))
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[f76,f68]) ).
fof(f80,plain,
! [X0,X1,X2,X3] :
( ~ p2(f4(X3,X0),X2)
| p2(X2,f4(X3,X1))
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[f76,f46]) ).
fof(f103,plain,
! [X0,X1,X2,X3] :
( ~ p3(X3,X0)
| p2(f4(X2,X3),f4(X2,X1))
| ~ p3(X0,X1) ),
inference(resolution,[status(thm)],[f80,f78]) ).
fof(f139,plain,
! [X0,X1] :
( p2(f4(X1,c21),f4(X1,X0))
| ~ p3(c19,X0) ),
inference(resolution,[status(thm)],[f103,f31]) ).
fof(f144,plain,
! [X0] : p2(f4(X0,c21),f4(X0,c19)),
inference(resolution,[status(thm)],[f139,f29]) ).
fof(f148,plain,
! [X0] :
( ~ p2(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),X0)
| p15(X0,c20) ),
inference(resolution,[status(thm)],[f75,f30]) ).
fof(f155,plain,
! [X0] : p2(f4(X0,c19),f4(X0,c21)),
inference(resolution,[status(thm)],[f144,f68]) ).
fof(f244,plain,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
inference(resolution,[status(thm)],[f148,f155]) ).
fof(f248,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f244,f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN587-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n011.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 11:09:26 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.45 % Elapsed time: 0.065970 seconds
% 0.14/0.45 % CPU time: 0.256035 seconds
% 0.14/0.45 % Total memory used: 18.756 MB
% 0.14/0.45 % Net memory used: 18.397 MB
%------------------------------------------------------------------------------