%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN606-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 03:16:54 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.50s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 15 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 66 ( 38 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-2 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X11] : p2(X11,X11),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X18] : p3(X18,X18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p3(f12(f15(c22),c21),c22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [X16,X17] :
( ~ p3(X16,X17)
| p2(f9(X16),f9(X17)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [X19,X20,X18] :
( ~ p3(X18,X20)
| ~ p3(X18,X19)
| p3(X19,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X2,X3,X4,X5] :
( ~ p17(X4,X5)
| ~ p2(X5,X3)
| ~ p2(X4,X2)
| p17(X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
p17(f9(f10(f14(f4(f9(c19)),c19),c22)),f6(f7(f8(c20)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [X21,X22,X23,X24] :
( ~ p3(X22,X24)
| ~ p3(X21,X23)
| p3(f10(X21,X22),f10(X23,X24)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
! [X50] : ~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X50,c21))),f6(f7(f8(c20)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f34,plain,
! [X0] : p3(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f37,plain,
p3(f12(f15(c22),c21),c22),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f42,plain,
! [X0,X1] :
( ~ p3(X0,X1)
| p2(f9(X0),f9(X1)) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f51,plain,
! [X20,X18] :
( ~ p3(X18,X20)
| ! [X19] :
( ~ p3(X18,X19)
| p3(X19,X20) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f52,plain,
! [X0,X1,X2] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f53,plain,
! [X4,X5] :
( ~ p17(X4,X5)
| ! [X3] :
( ~ p2(X5,X3)
| ! [X2] :
( ~ p2(X4,X2)
| p17(X2,X3) ) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f54,plain,
! [X0,X1,X2,X3] :
( ~ p17(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p17(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f58,plain,
p17(f9(f10(f14(f4(f9(c19)),c19),c22)),f6(f7(f8(c20)))),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f61,plain,
! [X22,X24] :
( ~ p3(X22,X24)
| ! [X21,X23] :
( ~ p3(X21,X23)
| p3(f10(X21,X22),f10(X23,X24)) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f62,plain,
! [X0,X1,X2,X3] :
( ~ p3(X1,X3)
| ~ p3(X0,X2)
| p3(f10(X0,X1),f10(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f61]) ).
fof(f68,plain,
! [X0] : ~ p17(f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21))),f6(f7(f8(c20)))),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ~ p17(X0,X2)
| ~ p2(X2,f6(f7(f8(c20))))
| ~ p2(X0,f9(f10(f14(f4(f9(c19)),c19),f12(X1,c21)))) ),
inference(resolution,[status(thm)],[f68,f54]) ).
fof(f84,plain,
! [X0,X1] :
( ~ p17(X0,f6(f7(f8(c20))))
| ~ p2(X0,f9(f10(f14(f4(f9(c19)),c19),f12(X1,c21)))) ),
inference(resolution,[status(thm)],[f81,f32]) ).
fof(f117,plain,
! [X0] : ~ p2(f9(f10(f14(f4(f9(c19)),c19),c22)),f9(f10(f14(f4(f9(c19)),c19),f12(X0,c21)))),
inference(resolution,[status(thm)],[f84,f58]) ).
fof(f135,plain,
! [X0] : ~ p3(f10(f14(f4(f9(c19)),c19),c22),f10(f14(f4(f9(c19)),c19),f12(X0,c21))),
inference(resolution,[status(thm)],[f117,f42]) ).
fof(f154,plain,
! [X0] :
( ~ p3(c22,f12(X0,c21))
| ~ p3(f14(f4(f9(c19)),c19),f14(f4(f9(c19)),c19)) ),
inference(resolution,[status(thm)],[f135,f62]) ).
fof(f156,plain,
! [X0] : ~ p3(c22,f12(X0,c21)),
inference(forward_subsumption_resolution,[status(thm)],[f154,f34]) ).
fof(f157,plain,
! [X0,X1] :
( ~ p3(X0,f12(X1,c21))
| ~ p3(X0,c22) ),
inference(resolution,[status(thm)],[f156,f52]) ).
fof(f158,plain,
! [X0] : ~ p3(f12(f15(c22),c21),f12(X0,c21)),
inference(resolution,[status(thm)],[f157,f37]) ).
fof(f172,plain,
$false,
inference(resolution,[status(thm)],[f158,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN606-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n008.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 11:10:24 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.45 % Drodi V4.1.1
% 0.19/0.50 % Refutation found
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.50 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.19/0.53 % Elapsed time: 0.071058 seconds
% 0.19/0.53 % CPU time: 0.295689 seconds
% 0.19/0.53 % Total memory used: 18.949 MB
% 0.19/0.53 % Net memory used: 18.518 MB
%------------------------------------------------------------------------------