%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN613-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n010.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 03:16:55 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 33 ( 17 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 86 ( 50 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p11(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X36] : p3(X36,X36),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X14] : p16(X14,X14),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p11(c23,f12(f9(c21))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
p11(c24,f12(f9(c21))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [X1,X2,X0] :
( ~ p11(X0,X2)
| ~ p11(X0,X1)
| p11(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
! [X17,X18,X19,X22,X21,X20] :
( ~ p17(X21,X22,X20)
| ~ p11(X20,X19)
| ~ p16(X21,X17)
| ~ p3(X22,X18)
| p17(X17,X18,X19) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,plain,
! [X0] : p11(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f35,plain,
! [X0] : p3(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f37,plain,
! [X0] : p16(X0,X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f38,plain,
p11(c23,f12(f9(c21))),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f39,plain,
p11(c24,f12(f9(c21))),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f46,plain,
! [X2,X0] :
( ~ p11(X0,X2)
| ! [X1] :
( ~ p11(X0,X1)
| p11(X1,X2) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ p11(X2,X1)
| ~ p11(X2,X0)
| p11(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f58,plain,
p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c24),
inference(cnf_transformation,[status(thm)],[f21]) ).
fof(f59,plain,
~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),c23),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f70,plain,
! [X22,X21,X20] :
( ~ p17(X21,X22,X20)
| ! [X19] :
( ~ p11(X20,X19)
| ! [X17] :
( ~ p16(X21,X17)
| ! [X18] :
( ~ p3(X22,X18)
| p17(X17,X18,X19) ) ) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f71,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ p17(X4,X3,X5)
| ~ p11(X5,X2)
| ~ p16(X4,X0)
| ~ p3(X3,X1)
| p17(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ~ p17(X1,X0,X2)
| ~ p11(X2,c23)
| ~ p16(X1,c19)
| ~ p3(X0,f4(f7(f10(c20),f8(f9(c21),c22)))) ),
inference(resolution,[status(thm)],[f71,f59]) ).
fof(f90,plain,
! [X0,X1] :
( ~ p17(c19,X0,X1)
| ~ p11(X1,c23)
| ~ p3(X0,f4(f7(f10(c20),f8(f9(c21),c22)))) ),
inference(resolution,[status(thm)],[f86,f37]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ~ p11(X2,c23)
| ~ p11(X2,X1)
| ~ p17(c19,X0,X1)
| ~ p3(X0,f4(f7(f10(c20),f8(f9(c21),c22)))) ),
inference(resolution,[status(thm)],[f90,f47]) ).
fof(f121,plain,
! [X0,X1] :
( ~ p11(c23,X1)
| ~ p17(c19,X0,X1)
| ~ p3(X0,f4(f7(f10(c20),f8(f9(c21),c22)))) ),
inference(resolution,[status(thm)],[f91,f32]) ).
fof(f135,plain,
! [X0] :
( ~ p11(c23,X0)
| ~ p17(c19,f4(f7(f10(c20),f8(f9(c21),c22))),X0) ),
inference(resolution,[status(thm)],[f121,f35]) ).
fof(f136,plain,
~ p11(c23,c24),
inference(resolution,[status(thm)],[f135,f58]) ).
fof(f138,plain,
! [X0] :
( ~ p11(X0,c24)
| ~ p11(X0,c23) ),
inference(resolution,[status(thm)],[f136,f47]) ).
fof(f139,plain,
! [X0,X1] :
( ~ p11(X1,c24)
| ~ p11(X1,X0)
| ~ p11(X0,c23) ),
inference(resolution,[status(thm)],[f138,f47]) ).
fof(f147,plain,
! [X0] :
( ~ p11(c24,X0)
| ~ p11(X0,c23) ),
inference(resolution,[status(thm)],[f139,f32]) ).
fof(f148,plain,
! [X0,X1] :
( ~ p11(X1,c23)
| ~ p11(X1,X0)
| ~ p11(c24,X0) ),
inference(resolution,[status(thm)],[f147,f47]) ).
fof(f151,plain,
! [X0] :
( ~ p11(c23,X0)
| ~ p11(c24,X0) ),
inference(resolution,[status(thm)],[f148,f32]) ).
fof(f152,plain,
~ p11(c23,f12(f9(c21))),
inference(resolution,[status(thm)],[f151,f39]) ).
fof(f155,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f152,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN613-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n010.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 11:10:40 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.43 % Elapsed time: 0.048752 seconds
% 0.09/0.43 % CPU time: 0.137059 seconds
% 0.09/0.43 % Total memory used: 17.856 MB
% 0.09/0.43 % Net memory used: 17.619 MB
%------------------------------------------------------------------------------