%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN692-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 03:17:06 PM UTC 2026
% Result : Unsatisfiable 1.61s 0.69s
% Output : CNFRefutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 28 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
! [X5] : p10(X5,X5),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [X43] : p2(X43,X43),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
p2(c44,c45),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
! [X90,X91] :
( ~ p2(X90,X91)
| p3(f4(X90),f4(X91)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,negated_conjecture,
! [X44,X45,X43] :
( ~ p2(X43,X45)
| ~ p2(X43,X44)
| p2(X44,X45) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f57,negated_conjecture,
! [X46,X47,X48,X49] :
( ~ p3(X46,X48)
| ~ p10(X47,X49)
| p2(f11(X46,X47),f11(X48,X49)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f75,plain,
! [X0] : p10(X0,X0),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f80,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f84,plain,
p2(c44,c45),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f101,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f112,plain,
! [X45,X43] :
( ~ p2(X43,X45)
| ! [X44] :
( ~ p2(X43,X44)
| p2(X44,X45) ) ),
inference(miniscoping,[status(thm)],[f39]) ).
fof(f113,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f112]) ).
fof(f132,plain,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f133,plain,
~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f141,plain,
! [X46,X48] :
( ~ p3(X46,X48)
| ! [X47,X49] :
( ~ p10(X47,X49)
| p2(f11(X46,X47),f11(X48,X49)) ) ),
inference(miniscoping,[status(thm)],[f57]) ).
fof(f142,plain,
! [X0,X1,X2,X3] :
( ~ p3(X0,X2)
| ~ p10(X1,X3)
| p2(f11(X0,X1),f11(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f141]) ).
fof(f161,plain,
! [X0] :
( ~ p2(X0,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X0,f11(f4(c45),c43)) ),
inference(resolution,[status(thm)],[f133,f113]) ).
fof(f480,plain,
! [X0,X1] :
( ~ p2(X1,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X1,X0)
| ~ p2(X0,f11(f4(c45),c43)) ),
inference(resolution,[status(thm)],[f161,f113]) ).
fof(f796,plain,
( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(f11(f4(c44),c43),f11(f4(c45),c43)) ),
inference(resolution,[status(thm)],[f480,f132]) ).
fof(f821,plain,
~ p2(f11(f4(c44),c43),f11(f4(c45),c43)),
inference(forward_subsumption_resolution,[status(thm)],[f796,f80]) ).
fof(f1065,plain,
( ~ p3(f4(c44),f4(c45))
| ~ p10(c43,c43) ),
inference(resolution,[status(thm)],[f821,f142]) ).
fof(f1068,plain,
~ p3(f4(c44),f4(c45)),
inference(forward_subsumption_resolution,[status(thm)],[f1065,f75]) ).
fof(f1069,plain,
~ p2(c44,c45),
inference(resolution,[status(thm)],[f1068,f101]) ).
fof(f1071,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1069,f84]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN692-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n007.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 : Mon Sep 21 11:10:06 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 1.61/0.69 % Refutation found
% 1.61/0.69 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.61/0.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.61/0.71 % Elapsed time: 0.333374 seconds
% 1.61/0.71 % CPU time: 2.453238 seconds
% 1.61/0.71 % Total memory used: 53.189 MB
% 1.61/0.71 % Net memory used: 43.750 MB
%------------------------------------------------------------------------------