%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN563-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 0.15s 10.45s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 17 unt; 0 def)
% Number of atoms : 57 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 52 ( 27 ~; 25 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-1 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X22] : p6(X22,X22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
p2(f4(c7),f4(c8)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ p6(f4(c7),f3(f4(c8))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X16] : p5(f3(f3(X16)),f3(f4(X16))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [X27] :
( ~ p6(c7,X27)
| p6(c7,f3(X27)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [X10,X11] :
( ~ p5(X10,X11)
| p6(f4(X10),X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [X3,X4] :
( ~ p2(X3,X4)
| p2(f3(X3),f3(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [X7,X8,X9] :
( ~ p6(X7,X9)
| ~ p5(X9,X8)
| p5(X7,X8) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X12,X13,X15,X14] :
( ~ p2(X14,X12)
| ~ p5(X14,X15)
| ~ p2(X15,X13)
| p5(X12,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f19,plain,
! [X0] : p6(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f21,plain,
p2(f4(c7),f4(c8)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f22,plain,
~ p6(f4(c7),f3(f4(c8))),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f24,plain,
! [X0] : p5(f3(f3(X0)),f3(f4(X0))),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f26,plain,
! [X0] :
( ~ p6(c7,X0)
| p6(c7,f3(X0)) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f27,plain,
! [X0,X1] :
( ~ p5(X0,X1)
| p6(f4(X0),X1) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f28,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| p2(f3(X0),f3(X1)) ),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f34,plain,
! [X7,X9] :
( ~ p6(X7,X9)
| ! [X8] :
( ~ p5(X9,X8)
| p5(X7,X8) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ~ p6(X0,X2)
| ~ p5(X2,X1)
| p5(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f38,plain,
! [X12,X14] :
( ~ p2(X14,X12)
| ! [X15] :
( ~ p5(X14,X15)
| ! [X13] :
( ~ p2(X15,X13)
| p5(X12,X13) ) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( ~ p2(X3,X0)
| ~ p5(X3,X2)
| ~ p2(X2,X1)
| p5(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f42,plain,
p6(c7,f3(c7)),
inference(resolution,[status(thm)],[f26,f19]) ).
fof(f46,plain,
p6(c7,f3(f3(c7))),
inference(resolution,[status(thm)],[f42,f26]) ).
fof(f49,plain,
p2(f3(f4(c7)),f3(f4(c8))),
inference(resolution,[status(thm)],[f28,f21]) ).
fof(f58,plain,
! [X0,X1] :
( ~ p6(X0,f3(f3(X1)))
| p5(X0,f3(f4(X1))) ),
inference(resolution,[status(thm)],[f35,f24]) ).
fof(f75,plain,
! [X0,X1] :
( ~ p2(X1,X0)
| ~ p5(X1,f3(f4(c7)))
| p5(X0,f3(f4(c8))) ),
inference(resolution,[status(thm)],[f49,f39]) ).
fof(f101,plain,
p5(c7,f3(f4(c7))),
inference(resolution,[status(thm)],[f58,f46]) ).
fof(f188,plain,
! [X0] :
( ~ p2(c7,X0)
| p5(X0,f3(f4(c8))) ),
inference(resolution,[status(thm)],[f101,f75]) ).
fof(f697,plain,
p5(c7,f3(f4(c8))),
inference(resolution,[status(thm)],[f188,f18]) ).
fof(f700,plain,
p6(f4(c7),f3(f4(c8))),
inference(resolution,[status(thm)],[f697,f27]) ).
fof(f702,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f700,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN563-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/10.38 % Computer : n005.cluster.edu
% 0.10/10.38 % Model : x86_64 x86_64
% 0.10/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/10.38 % Memory : 8046.5625MB
% 0.10/10.38 % OS : Linux 6.8.0-71-generic
% 0.10/10.38 % CPULimit : 300
% 0.10/10.38 % WCLimit : 300
% 0.10/10.38 % DateTime : Mon Sep 21 11:08:43 UTC 2026
% 0.10/10.38 % CPUTime :
% 0.10/10.39 % Drodi V4.1.1
% 0.15/10.45 % Refutation found
% 0.15/10.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/10.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/10.47 % Elapsed time: 0.077664 seconds
% 0.15/10.47 % CPU time: 0.350261 seconds
% 0.15/10.47 % Total memory used: 60.060 MB
% 0.15/10.47 % Net memory used: 58.751 MB
%------------------------------------------------------------------------------