%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN693-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 03:17:06 PM UTC 2026
% Result : Unsatisfiable 0.63s 0.72s
% Output : CNFRefutation 0.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 14 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 47 ( 28 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,negated_conjecture,
! [X5] : p10(X5,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [X43] : p2(X43,X43),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
p2(c44,c46),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [X90,X91] :
( ~ p2(X90,X91)
| p3(f4(X90),f4(X91)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,negated_conjecture,
! [X44,X45,X43] :
( ~ p2(X43,X45)
| ~ p2(X43,X44)
| p2(X44,X45) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,negated_conjecture,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f58,negated_conjecture,
! [X46,X47,X48,X49] :
( ~ p3(X46,X48)
| ~ p10(X47,X49)
| p2(f11(X46,X47),f11(X48,X49)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f76,plain,
! [X0] : p10(X0,X0),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f81,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f85,plain,
p2(c44,c46),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f103,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f114,plain,
! [X45,X43] :
( ~ p2(X43,X45)
| ! [X44] :
( ~ p2(X43,X44)
| p2(X44,X45) ) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f115,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f114]) ).
fof(f134,plain,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f135,plain,
~ p2(f11(f4(c46),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f143,plain,
! [X46,X48] :
( ~ p3(X46,X48)
| ! [X47,X49] :
( ~ p10(X47,X49)
| p2(f11(X46,X47),f11(X48,X49)) ) ),
inference(miniscoping,[status(thm)],[f58]) ).
fof(f144,plain,
! [X0,X1,X2,X3] :
( ~ p3(X0,X2)
| ~ p10(X1,X3)
| p2(f11(X0,X1),f11(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f143]) ).
fof(f163,plain,
! [X0] :
( ~ p2(X0,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X0,f11(f4(c46),c43)) ),
inference(resolution,[status(thm)],[f135,f115]) ).
fof(f478,plain,
! [X0,X1] :
( ~ p2(X1,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(X1,X0)
| ~ p2(X0,f11(f4(c46),c43)) ),
inference(resolution,[status(thm)],[f163,f115]) ).
fof(f793,plain,
( ~ p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(f11(f4(c44),c43),f11(f4(c46),c43)) ),
inference(resolution,[status(thm)],[f478,f134]) ).
fof(f818,plain,
~ p2(f11(f4(c44),c43),f11(f4(c46),c43)),
inference(forward_subsumption_resolution,[status(thm)],[f793,f81]) ).
fof(f1060,plain,
( ~ p3(f4(c44),f4(c46))
| ~ p10(c43,c43) ),
inference(resolution,[status(thm)],[f818,f144]) ).
fof(f1063,plain,
~ p3(f4(c44),f4(c46)),
inference(forward_subsumption_resolution,[status(thm)],[f1060,f76]) ).
fof(f1064,plain,
~ p2(c44,c46),
inference(resolution,[status(thm)],[f1063,f103]) ).
fof(f1066,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1064,f85]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN693-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n026.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 11:15:07 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.63/0.72 % Refutation found
% 0.63/0.72 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.63/0.72 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.63/0.73 % Elapsed time: 0.347509 seconds
% 0.63/0.73 % CPU time: 2.397432 seconds
% 0.63/0.73 % Total memory used: 45.357 MB
% 0.63/0.73 % Net memory used: 38.917 MB
%------------------------------------------------------------------------------