%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN559-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n004.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 03:16:48 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 14 unt; 0 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 82 ( 47 ~; 35 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
p8(c13,c9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
p7(c10,c13),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
p2(f6(c9,c13),c14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p2(f5(c14,c10),c15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
p2(f3(f4(c11),c12),c15),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X1,X2,X0] :
( ~ p2(X0,X2)
| ~ p2(X0,X1)
| p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [X26,X25] :
( ~ p2(f5(X25,c10),f3(f4(c11),c12))
| ~ p2(f6(c9,X26),X25)
| ~ p7(c10,X26)
| ~ p8(X26,c9) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f16,plain,
p8(c13,c9),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f17,plain,
p7(c10,c13),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f18,plain,
p2(f6(c9,c13),c14),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f19,plain,
p2(f5(c14,c10),c15),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f20,plain,
p2(f3(f4(c11),c12),c15),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f22,plain,
! [X2,X0] :
( ~ p2(X0,X2)
| ! [X1] :
( ~ p2(X0,X1)
| p2(X1,X2) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f23,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f34,plain,
! [X25] :
( ~ p2(f5(X25,c10),f3(f4(c11),c12))
| ! [X26] :
( ~ p2(f6(c9,X26),X25)
| ~ p7(c10,X26)
| ~ p8(X26,c9) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f35,plain,
! [X0,X1] :
( ~ p2(f5(X1,c10),f3(f4(c11),c12))
| ~ p2(f6(c9,X0),X1)
| ~ p7(c10,X0)
| ~ p8(X0,c9) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ~ p2(X2,f3(f4(c11),c12))
| ~ p2(X2,f5(X1,c10))
| ~ p2(f6(c9,X0),X1)
| ~ p7(c10,X0)
| ~ p8(X0,c9) ),
inference(resolution,[status(thm)],[f35,f23]) ).
fof(f37,plain,
! [X0,X1] :
( ~ p2(X1,f3(f4(c11),c12))
| ~ p2(X1,f5(X0,c10))
| ~ p2(f6(c9,c13),X0)
| ~ p8(c13,c9) ),
inference(resolution,[status(thm)],[f36,f17]) ).
fof(f39,plain,
! [X0,X1] :
( ~ p2(X1,f3(f4(c11),c12))
| ~ p2(X1,f5(X0,c10))
| ~ p2(f6(c9,c13),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f37,f16]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ~ p2(X2,f3(f4(c11),c12))
| ~ p2(X2,X1)
| ~ p2(X1,f5(X0,c10))
| ~ p2(f6(c9,c13),X0) ),
inference(resolution,[status(thm)],[f39,f23]) ).
fof(f47,plain,
! [X0,X1] :
( ~ p2(f3(f4(c11),c12),X1)
| ~ p2(X1,f5(X0,c10))
| ~ p2(f6(c9,c13),X0) ),
inference(resolution,[status(thm)],[f41,f15]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ p2(X2,f5(X0,c10))
| ~ p2(X2,X1)
| ~ p2(f3(f4(c11),c12),X1)
| ~ p2(f6(c9,c13),X0) ),
inference(resolution,[status(thm)],[f47,f23]) ).
fof(f54,plain,
! [X0,X1] :
( ~ p2(f5(X0,c10),X1)
| ~ p2(f3(f4(c11),c12),X1)
| ~ p2(f6(c9,c13),X0) ),
inference(resolution,[status(thm)],[f49,f15]) ).
fof(f55,plain,
! [X0] :
( ~ p2(f5(X0,c10),c15)
| ~ p2(f6(c9,c13),X0) ),
inference(resolution,[status(thm)],[f54,f20]) ).
fof(f59,plain,
~ p2(f6(c9,c13),c14),
inference(resolution,[status(thm)],[f55,f19]) ).
fof(f61,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f59,f18]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN559-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 11:07:49 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.42 % Elapsed time: 0.049696 seconds
% 0.12/0.42 % CPU time: 0.150773 seconds
% 0.12/0.42 % Total memory used: 56.043 MB
% 0.12/0.42 % Net memory used: 55.561 MB
%------------------------------------------------------------------------------