%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN566-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 03:16:49 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 12
% Syntax : Number of formulae : 40 ( 21 unt; 0 def)
% Number of atoms : 76 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 78 ( 42 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-1 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X4] : p2(X4,X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X11] : p3(X11,X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X16] : p7(X16,X16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p10(c15,c11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
p8(c12,c13),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p2(c14,f6(c15)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
p3(c13,f4(c14)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [X14,X15] :
( ~ p2(X14,X15)
| p3(f4(X14),f4(X15)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [X12,X13,X11] :
( ~ p3(X11,X13)
| ~ p3(X11,X12)
| p3(X12,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [X19,X20] :
( ~ p8(X19,f4(f6(X20)))
| p8(X19,f4(f5(X20))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [X21,X22,X24,X23] :
( ~ p3(X23,X22)
| ~ p8(X24,X23)
| ~ p7(X24,X21)
| p8(X21,X22) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [X28,X30,X29] :
( ~ p2(X29,f5(X28))
| ~ p3(X30,f4(X29))
| ~ p8(c12,X30)
| ~ p10(X28,c11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f22,plain,
! [X0] : p3(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f23,plain,
! [X0] : p7(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f24,plain,
p10(c15,c11),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f25,plain,
p8(c12,c13),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f26,plain,
p2(c14,f6(c15)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f27,plain,
p3(c13,f4(c14)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f28,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f35,plain,
! [X13,X11] :
( ~ p3(X11,X13)
| ! [X12] :
( ~ p3(X11,X12)
| p3(X12,X13) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f36,plain,
! [X0,X1,X2] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f39,plain,
! [X0,X1] :
( ~ p8(X0,f4(f6(X1)))
| p8(X0,f4(f5(X1))) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f42,plain,
! [X22,X23] :
( ~ p3(X23,X22)
| ! [X24] :
( ~ p8(X24,X23)
| ! [X21] :
( ~ p7(X24,X21)
| p8(X21,X22) ) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f43,plain,
! [X0,X1,X2,X3] :
( ~ p3(X3,X1)
| ~ p8(X2,X3)
| ~ p7(X2,X0)
| p8(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f44,plain,
! [X28,X29] :
( ~ p2(X29,f5(X28))
| ! [X30] :
( ~ p3(X30,f4(X29))
| ~ p8(c12,X30)
| ~ p10(X28,c11) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ~ p2(X2,f5(X0))
| ~ p3(X1,f4(X2))
| ~ p8(c12,X1)
| ~ p10(X0,c11) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f46,plain,
p3(f4(c14),f4(f6(c15))),
inference(resolution,[status(thm)],[f28,f26]) ).
fof(f55,plain,
! [X0] :
( ~ p3(c13,X0)
| p3(f4(c14),X0) ),
inference(resolution,[status(thm)],[f36,f27]) ).
fof(f79,plain,
p3(f4(c14),c13),
inference(resolution,[status(thm)],[f55,f22]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ~ p3(X2,X1)
| ~ p8(X0,X2)
| p8(X0,X1) ),
inference(resolution,[status(thm)],[f43,f23]) ).
fof(f81,plain,
! [X0] :
( ~ p3(f4(c14),X0)
| p3(c13,X0) ),
inference(resolution,[status(thm)],[f79,f36]) ).
fof(f87,plain,
! [X0,X1] :
( ~ p2(X1,f5(X0))
| ~ p8(c12,f4(X1))
| ~ p10(X0,c11) ),
inference(resolution,[status(thm)],[f45,f22]) ).
fof(f119,plain,
! [X0] :
( ~ p3(c13,X0)
| p8(c12,X0) ),
inference(resolution,[status(thm)],[f80,f25]) ).
fof(f125,plain,
! [X0] :
( ~ p8(c12,f4(f5(X0)))
| ~ p10(X0,c11) ),
inference(resolution,[status(thm)],[f87,f21]) ).
fof(f141,plain,
p3(c13,f4(f6(c15))),
inference(resolution,[status(thm)],[f81,f46]) ).
fof(f143,plain,
p8(c12,f4(f6(c15))),
inference(resolution,[status(thm)],[f141,f119]) ).
fof(f148,plain,
p8(c12,f4(f5(c15))),
inference(resolution,[status(thm)],[f143,f39]) ).
fof(f160,plain,
~ p10(c15,c11),
inference(resolution,[status(thm)],[f125,f148]) ).
fof(f161,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f160,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN566-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n014.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 11:08:34 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.045335 seconds
% 0.13/0.41 % CPU time: 0.139615 seconds
% 0.13/0.41 % Total memory used: 56.175 MB
% 0.13/0.41 % Net memory used: 55.746 MB
%------------------------------------------------------------------------------