%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN616-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n015.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 03:16:56 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 78 ( 44 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,negated_conjecture,
! [X31] : p2(X31,X31),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p2(c25,c28),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [X40,X41,X42,X43] :
( ~ p2(X41,X43)
| ~ p2(X40,X42)
| p2(f12(X40,X41),f12(X42,X43)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [X52,X53,X54,X55] :
( ~ p2(X52,X54)
| ~ p2(X53,X55)
| p2(f7(X52,X53),f7(X54,X55)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
~ p14(f7(c22,f12(f8(c21,f3(f5(c20))),c28)),f3(f5(c20)),f6(c21)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [X7,X8,X9,X12,X11,X10] :
( ~ p14(X10,X11,X12)
| ~ p2(X10,X7)
| ~ p2(X11,X8)
| ~ p2(X12,X9)
| p14(X7,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f39,plain,
p2(c25,c28),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f68,plain,
! [X41,X43] :
( ~ p2(X41,X43)
| ! [X40,X42] :
( ~ p2(X40,X42)
| p2(f12(X40,X41),f12(X42,X43)) ) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f69,plain,
! [X0,X1,X2,X3] :
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f12(X0,X1),f12(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f70,plain,
! [X52,X54] :
( ~ p2(X52,X54)
| ! [X53,X55] :
( ~ p2(X53,X55)
| p2(f7(X52,X53),f7(X54,X55)) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( ~ p2(X0,X2)
| ~ p2(X1,X3)
| p2(f7(X0,X1),f7(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f72,plain,
p14(f7(c22,f12(f8(c21,f3(f5(c20))),c25)),f3(f5(c20)),f6(c21)),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f73,plain,
~ p14(f7(c22,f12(f8(c21,f3(f5(c20))),c28)),f3(f5(c20)),f6(c21)),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f74,plain,
! [X12,X11,X10] :
( ~ p14(X10,X11,X12)
| ! [X7] :
( ~ p2(X10,X7)
| ! [X8] :
( ~ p2(X11,X8)
| ! [X9] :
( ~ p2(X12,X9)
| p14(X7,X8,X9) ) ) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f75,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ p14(X5,X4,X3)
| ~ p2(X5,X0)
| ~ p2(X4,X1)
| ~ p2(X3,X2)
| p14(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f78,plain,
! [X0,X1,X2] :
( ~ p14(X2,X1,X0)
| ~ p2(X2,f7(c22,f12(f8(c21,f3(f5(c20))),c28)))
| ~ p2(X1,f3(f5(c20)))
| ~ p2(X0,f6(c21)) ),
inference(resolution,[status(thm)],[f73,f75]) ).
fof(f81,plain,
! [X0,X1] :
( ~ p14(X1,X0,f6(c21))
| ~ p2(X1,f7(c22,f12(f8(c21,f3(f5(c20))),c28)))
| ~ p2(X0,f3(f5(c20))) ),
inference(resolution,[status(thm)],[f78,f36]) ).
fof(f89,plain,
! [X0] :
( ~ p14(X0,f3(f5(c20)),f6(c21))
| ~ p2(X0,f7(c22,f12(f8(c21,f3(f5(c20))),c28))) ),
inference(resolution,[status(thm)],[f81,f36]) ).
fof(f90,plain,
! [X0,X1] :
( ~ p2(X0,c22)
| ~ p2(X1,f12(f8(c21,f3(f5(c20))),c28))
| ~ p14(f7(X0,X1),f3(f5(c20)),f6(c21)) ),
inference(resolution,[status(thm)],[f89,f71]) ).
fof(f101,plain,
! [X0] :
( ~ p2(X0,f12(f8(c21,f3(f5(c20))),c28))
| ~ p14(f7(c22,X0),f3(f5(c20)),f6(c21)) ),
inference(resolution,[status(thm)],[f90,f36]) ).
fof(f114,plain,
~ p2(f12(f8(c21,f3(f5(c20))),c25),f12(f8(c21,f3(f5(c20))),c28)),
inference(resolution,[status(thm)],[f101,f72]) ).
fof(f118,plain,
( ~ p2(c25,c28)
| ~ p2(f8(c21,f3(f5(c20))),f8(c21,f3(f5(c20)))) ),
inference(resolution,[status(thm)],[f114,f69]) ).
fof(f121,plain,
~ p2(c25,c28),
inference(forward_subsumption_resolution,[status(thm)],[f118,f36]) ).
fof(f122,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f39,f121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN616-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n015.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 11:13:21 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.056711 seconds
% 0.13/0.43 % CPU time: 0.174172 seconds
% 0.13/0.43 % Total memory used: 57.395 MB
% 0.13/0.43 % Net memory used: 57.026 MB
%------------------------------------------------------------------------------