%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN582-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.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 03:16:51 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 12 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 56 ( 32 ~; 24 |; 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 : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 39 ( 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X18] : p2(X18,X18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X31] : p5(X31,X31),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p2(c13,c18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p11(f4(f6(c15,c13)),c16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ p11(f4(f6(c15,c18)),c16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [X23,X24] :
( ~ p2(X23,X24)
| p2(f4(X23),f4(X24)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [X7,X8,X9,X10] :
( ~ p11(X9,X10)
| ~ p2(X10,X8)
| ~ p2(X9,X7)
| p11(X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X25,X26,X27,X28] :
( ~ p5(X25,X27)
| ~ p2(X26,X28)
| p2(f6(X25,X26),f6(X27,X28)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f28,plain,
! [X0] : p5(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f30,plain,
p2(c13,c18),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f32,plain,
p11(f4(f6(c15,c13)),c16),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f34,plain,
~ p11(f4(f6(c15,c18)),c16),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f39,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| p2(f4(X0),f4(X1)) ),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f49,plain,
! [X9,X10] :
( ~ p11(X9,X10)
| ! [X8] :
( ~ p2(X10,X8)
| ! [X7] :
( ~ p2(X9,X7)
| p11(X7,X8) ) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f50,plain,
! [X0,X1,X2,X3] :
( ~ p11(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p11(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f53,plain,
! [X25,X27] :
( ~ p5(X25,X27)
| ! [X26,X28] :
( ~ p2(X26,X28)
| p2(f6(X25,X26),f6(X27,X28)) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f54,plain,
! [X0,X1,X2,X3] :
( ~ p5(X0,X2)
| ~ p2(X1,X3)
| p2(f6(X0,X1),f6(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f71,plain,
! [X0,X1] :
( ~ p11(X0,X1)
| ~ p2(X1,c16)
| ~ p2(X0,f4(f6(c15,c18))) ),
inference(resolution,[status(thm)],[f50,f34]) ).
fof(f77,plain,
! [X0] :
( ~ p11(X0,c16)
| ~ p2(X0,f4(f6(c15,c18))) ),
inference(resolution,[status(thm)],[f71,f27]) ).
fof(f78,plain,
! [X0] :
( ~ p2(X0,f6(c15,c18))
| ~ p11(f4(X0),c16) ),
inference(resolution,[status(thm)],[f77,f39]) ).
fof(f81,plain,
! [X0,X1] :
( ~ p5(X0,c15)
| ~ p2(X1,c18)
| ~ p11(f4(f6(X0,X1)),c16) ),
inference(resolution,[status(thm)],[f78,f54]) ).
fof(f153,plain,
! [X0] :
( ~ p2(X0,c18)
| ~ p11(f4(f6(c15,X0)),c16) ),
inference(resolution,[status(thm)],[f81,f28]) ).
fof(f157,plain,
~ p11(f4(f6(c15,c13)),c16),
inference(resolution,[status(thm)],[f153,f30]) ).
fof(f160,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f157,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN582-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.33 % Computer : n002.cluster.edu
% 0.08/0.33 % Model : x86_64 x86_64
% 0.08/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.33 % Memory : 8046.5625MB
% 0.08/0.33 % OS : Linux 6.8.0-71-generic
% 0.08/0.33 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 11:11:47 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.34 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.40 % Elapsed time: 0.060896 seconds
% 0.12/0.40 % CPU time: 0.205746 seconds
% 0.12/0.40 % Total memory used: 18.629 MB
% 0.12/0.40 % Net memory used: 18.151 MB
%------------------------------------------------------------------------------