%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN553-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 03:16:47 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.37s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 15 unt; 0 def)
% Number of atoms : 39 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p2(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X11,X12] : p2(f8(X11,X12),f8(X12,X11)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X1,X2,X3] :
( ~ p2(X3,X2)
| ~ p2(X1,X3)
| p2(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X8,X9,X10] : p2(f8(X8,f8(X9,X10)),f8(f8(X8,X9),X10)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X4,X5,X6,X7] :
( ~ p2(X5,X7)
| ~ p2(X4,X6)
| p2(f8(X4,X5),f8(X6,X7)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f14,plain,
! [X0,X1] : p2(f8(X0,X1),f8(X1,X0)),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f15,plain,
! [X2,X3] :
( ~ p2(X3,X2)
| ! [X1] :
( ~ p2(X1,X3)
| p2(X1,X2) ) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X0,X2)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f17,plain,
! [X0,X1,X2] : p2(f8(X0,f8(X1,X2)),f8(f8(X0,X1),X2)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f18,plain,
! [X5,X7] :
( ~ p2(X5,X7)
| ! [X4,X6] :
( ~ p2(X4,X6)
| p2(f8(X4,X5),f8(X6,X7)) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f19,plain,
! [X0,X1,X2,X3] :
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f8(X0,X1),f8(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f20,plain,
~ p2(f8(f8(f9(c4),c4),f9(c3)),f8(f9(c4),f8(f9(c3),c4))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ~ p2(f8(X1,X0),X2)
| p2(f8(X0,X1),X2) ),
inference(resolution,[status(thm)],[f16,f14]) ).
fof(f25,plain,
! [X0,X1,X2,X3] :
( ~ p2(f8(f8(X0,X1),X2),X3)
| p2(f8(X0,f8(X1,X2)),X3) ),
inference(resolution,[status(thm)],[f17,f16]) ).
fof(f35,plain,
! [X0,X1,X2] :
( ~ p2(X1,X2)
| p2(f8(X0,X1),f8(X0,X2)) ),
inference(resolution,[status(thm)],[f19,f10]) ).
fof(f38,plain,
! [X0,X1,X2] : p2(f8(X0,f8(X1,X2)),f8(X0,f8(X2,X1))),
inference(resolution,[status(thm)],[f35,f14]) ).
fof(f88,plain,
! [X0,X1,X2] : p2(f8(f8(X0,X1),X2),f8(X2,f8(X1,X0))),
inference(resolution,[status(thm)],[f38,f21]) ).
fof(f157,plain,
! [X0,X1,X2] : p2(f8(X0,f8(X1,X2)),f8(X2,f8(X1,X0))),
inference(resolution,[status(thm)],[f88,f25]) ).
fof(f217,plain,
! [X0,X1,X2] : p2(f8(f8(X0,X1),X2),f8(X1,f8(X0,X2))),
inference(resolution,[status(thm)],[f157,f21]) ).
fof(f261,plain,
! [X0,X1,X2] : p2(f8(X0,f8(X1,X2)),f8(X1,f8(X0,X2))),
inference(resolution,[status(thm)],[f217,f25]) ).
fof(f302,plain,
! [X0,X1,X2] : p2(f8(f8(X0,X1),X2),f8(X0,f8(X2,X1))),
inference(resolution,[status(thm)],[f261,f21]) ).
fof(f328,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f20,f302]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN553-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n011.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 11:08:26 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.36 % Drodi V4.1.1
% 0.09/0.37 % Refutation found
% 0.09/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.40 % Elapsed time: 0.042255 seconds
% 0.13/0.40 % CPU time: 0.117513 seconds
% 0.13/0.40 % Total memory used: 13.351 MB
% 0.13/0.40 % Net memory used: 13.193 MB
%------------------------------------------------------------------------------