%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN564-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 0.13s 0.55s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 37 ( 19 unt; 0 def)
% Number of atoms : 68 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 64 ( 33 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-2 aty)
% Number of variables : 84 ( 84 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X9] : p2(X9,X9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X23] : p4(X23,X23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X18] : p2(f5(f7(X18)),f5(X18)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X38,X39] : p4(f8(X38,X39),f6(X38,f7(X39))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X16,X17] :
( ~ p4(X16,X17)
| p2(f5(X16),f5(X17)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [X24,X25,X23] :
( ~ p4(X23,X25)
| ~ p4(X23,X24)
| p4(X24,X25) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [X7,X8] : p10(f5(X7),f3(f5(f6(X7,X8)),f5(X8))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c11,c12))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [X4,X6,X5] :
( ~ p10(X4,f3(X5,X6))
| p10(f9(X4,X6),X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [X0,X1,X2,X3] :
( ~ p10(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p10(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [X12,X13,X14,X15] :
( ~ p2(X13,X15)
| ~ p2(X12,X14)
| p2(f3(X12,X13),f3(X14,X15)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f20,plain,
! [X0] : p4(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f21,plain,
! [X0] : p2(f5(f7(X0)),f5(X0)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f22,plain,
! [X0,X1] : p4(f8(X0,X1),f6(X0,f7(X1))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f24,plain,
! [X0,X1] :
( ~ p4(X0,X1)
| p2(f5(X0),f5(X1)) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f28,plain,
! [X25,X23] :
( ~ p4(X23,X25)
| ! [X24] :
( ~ p4(X23,X24)
| p4(X24,X25) ) ),
inference(miniscoping,[status(thm)],[f9]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ~ p4(X2,X1)
| ~ p4(X2,X0)
| p4(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f30,plain,
! [X0,X1] : p10(f5(X0),f3(f5(f6(X0,X1)),f5(X1))),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f31,plain,
~ p10(f9(f5(c11),f5(c12)),f5(f8(c11,c12))),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ~ p10(X0,f3(X2,X1))
| p10(f9(X0,X1),X2) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f34,plain,
! [X2,X3] :
( ~ p10(X2,X3)
| ! [X1] :
( ~ p2(X3,X1)
| ! [X0] :
( ~ p2(X2,X0)
| p10(X0,X1) ) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f35,plain,
! [X0,X1,X2,X3] :
( ~ p10(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p10(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f38,plain,
! [X13,X15] :
( ~ p2(X13,X15)
| ! [X12,X14] :
( ~ p2(X12,X14)
| p2(f3(X12,X13),f3(X14,X15)) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f3(X0,X1),f3(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f53,plain,
! [X0,X1,X2] :
( ~ p4(f8(X0,X1),X2)
| p4(f6(X0,f7(X1)),X2) ),
inference(resolution,[status(thm)],[f29,f22]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ~ p10(X0,X2)
| ~ p2(X2,X1)
| p10(X0,X1) ),
inference(resolution,[status(thm)],[f35,f19]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ~ p2(X1,X2)
| p2(f3(X0,X1),f3(X0,X2)) ),
inference(resolution,[status(thm)],[f39,f19]) ).
fof(f117,plain,
! [X0,X1] : p2(f3(X0,f5(f7(X1))),f3(X0,f5(X1))),
inference(resolution,[status(thm)],[f107,f21]) ).
fof(f180,plain,
! [X0,X1] : p4(f6(X0,f7(X1)),f8(X0,X1)),
inference(resolution,[status(thm)],[f53,f20]) ).
fof(f187,plain,
! [X0,X1] : p2(f5(f6(X0,f7(X1))),f5(f8(X0,X1))),
inference(resolution,[status(thm)],[f180,f24]) ).
fof(f272,plain,
! [X0,X1,X2] :
( ~ p10(X0,f3(X1,f5(f7(X2))))
| p10(X0,f3(X1,f5(X2))) ),
inference(resolution,[status(thm)],[f117,f77]) ).
fof(f421,plain,
! [X0,X1,X2] :
( ~ p10(X0,f5(f6(X1,f7(X2))))
| p10(X0,f5(f8(X1,X2))) ),
inference(resolution,[status(thm)],[f187,f77]) ).
fof(f2555,plain,
! [X0,X1] : p10(f5(X0),f3(f5(f6(X0,f7(X1))),f5(X1))),
inference(resolution,[status(thm)],[f272,f30]) ).
fof(f2580,plain,
! [X0,X1] : p10(f9(f5(X0),f5(X1)),f5(f6(X0,f7(X1)))),
inference(resolution,[status(thm)],[f2555,f33]) ).
fof(f3044,plain,
! [X0,X1] : p10(f9(f5(X0),f5(X1)),f5(f8(X0,X1))),
inference(resolution,[status(thm)],[f421,f2580]) ).
fof(f3070,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f31,f3044]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN564-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 11:09:34 UTC 2026
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.55 % Refutation found
% 0.13/0.55 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.55 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.56 % Elapsed time: 0.198454 seconds
% 0.13/0.56 % CPU time: 1.370100 seconds
% 0.13/0.56 % Total memory used: 83.921 MB
% 0.13/0.56 % Net memory used: 76.354 MB
%------------------------------------------------------------------------------