%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN628-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 03:16:57 PM UTC 2026
% Result : Unsatisfiable 0.03s 0.32s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 35 ( 14 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 94 ( 53 ~; 41 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X4] : p2(X4,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X40] : p9(X40,X40),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
p9(c28,c22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [X53,X54] :
( ~ p9(X53,X54)
| p9(f16(X53),f16(X54)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [X11,X12,X13,X14] :
( ~ p20(X13,X14)
| ~ p9(X14,X12)
| ~ p9(X13,X11)
| p20(X11,X12) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
! [X55,X56,X57,X58] :
( ~ p9(X56,X58)
| ~ p9(X55,X57)
| p9(f17(X55,X56),f17(X57,X58)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
! [X49,X50,X51,X52] :
( ~ p9(X50,X52)
| ~ p2(X49,X51)
| p9(f15(X49,X50),f15(X51,X52)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [X43,X44,X45,X46] :
( ~ p9(X44,X46)
| ~ p9(X43,X45)
| p9(f10(X43,X44),f10(X45,X46)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
p20(f16(f17(c28,c27)),f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
~ p20(f16(f17(c22,c27)),f10(f15(f7(c23,f8(c24,c25)),c22),f11(f12(f13(f14(c29)))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f38,plain,
! [X0] : p9(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f42,plain,
p9(c28,c22),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f49,plain,
! [X0,X1] :
( ~ p9(X0,X1)
| p9(f16(X0),f16(X1)) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f69,plain,
! [X13,X14] :
( ~ p20(X13,X14)
| ! [X12] :
( ~ p9(X14,X12)
| ! [X11] :
( ~ p9(X13,X11)
| p20(X11,X12) ) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f70,plain,
! [X0,X1,X2,X3] :
( ~ p20(X2,X3)
| ~ p9(X3,X1)
| ~ p9(X2,X0)
| p20(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f75,plain,
! [X56,X58] :
( ~ p9(X56,X58)
| ! [X55,X57] :
( ~ p9(X55,X57)
| p9(f17(X55,X56),f17(X57,X58)) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( ~ p9(X1,X3)
| ~ p9(X0,X2)
| p9(f17(X0,X1),f17(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f77,plain,
! [X50,X52] :
( ~ p9(X50,X52)
| ! [X49,X51] :
( ~ p2(X49,X51)
| p9(f15(X49,X50),f15(X51,X52)) ) ),
inference(miniscoping,[status(thm)],[f30]) ).
fof(f78,plain,
! [X0,X1,X2,X3] :
( ~ p9(X1,X3)
| ~ p2(X0,X2)
| p9(f15(X0,X1),f15(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f79,plain,
! [X44,X46] :
( ~ p9(X44,X46)
| ! [X43,X45] :
( ~ p9(X43,X45)
| p9(f10(X43,X44),f10(X45,X46)) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f80,plain,
! [X0,X1,X2,X3] :
( ~ p9(X1,X3)
| ~ p9(X0,X2)
| p9(f10(X0,X1),f10(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f84,plain,
p20(f16(f17(c28,c27)),f10(f15(f7(c23,f8(c24,c25)),c28),f11(f12(f13(f14(c29)))))),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f85,plain,
~ p20(f16(f17(c22,c27)),f10(f15(f7(c23,f8(c24,c25)),c22),f11(f12(f13(f14(c29)))))),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f89,plain,
! [X0,X1] :
( ~ p20(X0,X1)
| ~ p9(X1,f10(f15(f7(c23,f8(c24,c25)),c22),f11(f12(f13(f14(c29))))))
| ~ p9(X0,f16(f17(c22,c27))) ),
inference(resolution,[status(thm)],[f85,f70]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ~ p9(X2,f11(f12(f13(f14(c29)))))
| ~ p9(X1,f15(f7(c23,f8(c24,c25)),c22))
| ~ p20(X0,f10(X1,X2))
| ~ p9(X0,f16(f17(c22,c27))) ),
inference(resolution,[status(thm)],[f89,f80]) ).
fof(f101,plain,
( ~ p9(f11(f12(f13(f14(c29)))),f11(f12(f13(f14(c29)))))
| ~ p9(f15(f7(c23,f8(c24,c25)),c28),f15(f7(c23,f8(c24,c25)),c22))
| ~ p9(f16(f17(c28,c27)),f16(f17(c22,c27))) ),
inference(resolution,[status(thm)],[f93,f84]) ).
fof(f103,plain,
( ~ p9(f15(f7(c23,f8(c24,c25)),c28),f15(f7(c23,f8(c24,c25)),c22))
| ~ p9(f16(f17(c28,c27)),f16(f17(c22,c27))) ),
inference(forward_subsumption_resolution,[status(thm)],[f101,f38]) ).
fof(f117,plain,
( ~ p9(c28,c22)
| ~ p2(f7(c23,f8(c24,c25)),f7(c23,f8(c24,c25)))
| ~ p9(f16(f17(c28,c27)),f16(f17(c22,c27))) ),
inference(resolution,[status(thm)],[f103,f78]) ).
fof(f119,plain,
( ~ p9(c28,c22)
| ~ p9(f16(f17(c28,c27)),f16(f17(c22,c27))) ),
inference(forward_subsumption_resolution,[status(thm)],[f117,f37]) ).
fof(f120,plain,
~ p9(f16(f17(c28,c27)),f16(f17(c22,c27))),
inference(forward_subsumption_resolution,[status(thm)],[f119,f42]) ).
fof(f121,plain,
~ p9(f17(c28,c27),f17(c22,c27)),
inference(resolution,[status(thm)],[f120,f49]) ).
fof(f123,plain,
( ~ p9(c27,c27)
| ~ p9(c28,c22) ),
inference(resolution,[status(thm)],[f121,f76]) ).
fof(f125,plain,
~ p9(c27,c27),
inference(forward_subsumption_resolution,[status(thm)],[f123,f42]) ).
fof(f126,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f125,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN628-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Mon Sep 21 11:10:21 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 0.03/0.32 % Refutation found
% 0.03/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.07/0.34 % Elapsed time: 0.041442 seconds
% 0.07/0.34 % CPU time: 0.106253 seconds
% 0.07/0.34 % Total memory used: 57.513 MB
% 0.07/0.34 % Net memory used: 57.220 MB
%------------------------------------------------------------------------------