%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN625-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 03:16:57 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.58s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 35 ( 7 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 79 ( 29 ~; 50 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-5 aty)
% Number of variables : 80 ( 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p15(c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ p15(f4(f7(c19,c20),c21)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [X7,X76] :
( ~ p18(f9(X7),X76,X76)
| ~ p15(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [X7] :
( p18(f9(X7),f14(X7),f14(X7))
| p15(X7) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [X77] :
( ~ p16(f9(c21),X77,c19)
| ~ p17(X77,f11(c20)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X14,X15,X16,X17] :
( ~ p16(X14,X17,X16)
| ~ p16(X14,X15,X17)
| p16(X14,X15,X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
! [X18,X19,X20,X21,X22] :
( ~ p18(f9(f4(f7(X20,X22),X18)),X19,X21)
| p18(f9(X18),X19,X21)
| p16(f9(X18),X19,X20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
! [X18,X19,X21,X20,X22] :
( ~ p18(f9(f4(f7(X20,X22),X18)),X19,X21)
| p17(f12(X18,X20,X22,X19,X21),f11(X22))
| p18(f9(X18),X19,X21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [X18,X19,X21,X20,X22] :
( ~ p18(f9(f4(f7(X20,X22),X18)),X19,X21)
| p16(f9(X18),f12(X18,X20,X22,X19,X21),X21)
| p18(f9(X18),X19,X21) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,plain,
p15(c21),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f43,plain,
~ p15(f4(f7(c19,c20),c21)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f46,plain,
! [X7] :
( ! [X76] : ~ p18(f9(X7),X76,X76)
| ~ p15(X7) ),
inference(miniscoping,[status(thm)],[f10]) ).
fof(f47,plain,
! [X0,X1] :
( ~ p18(f9(X0),X1,X1)
| ~ p15(X0) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f52,plain,
! [X0] :
( p18(f9(X0),f14(X0),f14(X0))
| p15(X0) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f53,plain,
! [X0] :
( ~ p16(f9(c21),X0,c19)
| ~ p17(X0,f11(c20)) ),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f66,plain,
! [X14,X16,X17] :
( ~ p16(X14,X17,X16)
| ! [X15] :
( ~ p16(X14,X15,X17)
| p16(X14,X15,X16) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f67,plain,
! [X0,X1,X2,X3] :
( ~ p16(X0,X3,X2)
| ~ p16(X0,X1,X3)
| p16(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f82,plain,
! [X18,X19,X20,X21] :
( ! [X22] : ~ p18(f9(f4(f7(X20,X22),X18)),X19,X21)
| p18(f9(X18),X19,X21)
| p16(f9(X18),X19,X20) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f83,plain,
! [X0,X1,X2,X3,X4] :
( ~ p18(f9(f4(f7(X2,X4),X0)),X1,X3)
| p18(f9(X0),X1,X3)
| p16(f9(X0),X1,X2) ),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f84,plain,
! [X0,X1,X2,X3,X4] :
( ~ p18(f9(f4(f7(X3,X4),X0)),X1,X2)
| p17(f12(X0,X3,X4,X1,X2),f11(X4))
| p18(f9(X0),X1,X2) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f85,plain,
! [X0,X1,X2,X3,X4] :
( ~ p18(f9(f4(f7(X3,X4),X0)),X1,X2)
| p16(f9(X0),f12(X0,X3,X4,X1,X2),X2)
| p18(f9(X0),X1,X2) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f117,plain,
! [X0,X1,X2] :
( p15(f4(f7(X1,X2),X0))
| p18(f9(X0),f14(f4(f7(X1,X2),X0)),f14(f4(f7(X1,X2),X0)))
| p16(f9(X0),f14(f4(f7(X1,X2),X0)),X1) ),
inference(resolution,[status(thm)],[f83,f52]) ).
fof(f118,plain,
! [X0,X1,X2] :
( p15(f4(f7(X1,X2),X0))
| p17(f12(X0,X1,X2,f14(f4(f7(X1,X2),X0)),f14(f4(f7(X1,X2),X0))),f11(X2))
| p18(f9(X0),f14(f4(f7(X1,X2),X0)),f14(f4(f7(X1,X2),X0))) ),
inference(resolution,[status(thm)],[f84,f52]) ).
fof(f119,plain,
! [X0,X1,X2] :
( p15(f4(f7(X1,X2),X0))
| p16(f9(X0),f12(X0,X1,X2,f14(f4(f7(X1,X2),X0)),f14(f4(f7(X1,X2),X0))),f14(f4(f7(X1,X2),X0)))
| p18(f9(X0),f14(f4(f7(X1,X2),X0)),f14(f4(f7(X1,X2),X0))) ),
inference(resolution,[status(thm)],[f85,f52]) ).
fof(f128,plain,
! [X0,X1,X2] :
( ~ p15(X0)
| p15(f4(f7(X1,X2),X0))
| p16(f9(X0),f14(f4(f7(X1,X2),X0)),X1) ),
inference(resolution,[status(thm)],[f117,f47]) ).
fof(f129,plain,
! [X0,X1] :
( p15(f4(f7(X0,X1),c21))
| p16(f9(c21),f14(f4(f7(X0,X1),c21)),X0) ),
inference(resolution,[status(thm)],[f128,f36]) ).
fof(f150,plain,
! [X0,X1,X2,X3] :
( ~ p16(f9(X0),f14(f4(f7(X1,X2),X0)),X3)
| p16(f9(X0),f12(X0,X1,X2,f14(f4(f7(X1,X2),X0)),f14(f4(f7(X1,X2),X0))),X3)
| p15(f4(f7(X1,X2),X0))
| p18(f9(X0),f14(f4(f7(X1,X2),X0)),f14(f4(f7(X1,X2),X0))) ),
inference(resolution,[status(thm)],[f119,f67]) ).
fof(f188,plain,
! [X0,X1] :
( p15(f4(f7(X0,X1),c21))
| p16(f9(c21),f12(c21,X0,X1,f14(f4(f7(X0,X1),c21)),f14(f4(f7(X0,X1),c21))),X0)
| p15(f4(f7(X0,X1),c21))
| p18(f9(c21),f14(f4(f7(X0,X1),c21)),f14(f4(f7(X0,X1),c21))) ),
inference(resolution,[status(thm)],[f150,f129]) ).
fof(f192,plain,
! [X0,X1] :
( p16(f9(c21),f12(c21,X0,X1,f14(f4(f7(X0,X1),c21)),f14(f4(f7(X0,X1),c21))),X0)
| p15(f4(f7(X0,X1),c21))
| p18(f9(c21),f14(f4(f7(X0,X1),c21)),f14(f4(f7(X0,X1),c21))) ),
inference(duplicate_literals_removal,[status(thm)],[f188]) ).
fof(f193,plain,
! [X0] :
( ~ p17(f12(c21,c19,X0,f14(f4(f7(c19,X0),c21)),f14(f4(f7(c19,X0),c21))),f11(c20))
| p15(f4(f7(c19,X0),c21))
| p18(f9(c21),f14(f4(f7(c19,X0),c21)),f14(f4(f7(c19,X0),c21))) ),
inference(resolution,[status(thm)],[f192,f53]) ).
fof(f200,plain,
( p15(f4(f7(c19,c20),c21))
| p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21)))
| p15(f4(f7(c19,c20),c21))
| p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))) ),
inference(resolution,[status(thm)],[f193,f118]) ).
fof(f201,plain,
( p15(f4(f7(c19,c20),c21))
| p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))) ),
inference(duplicate_literals_removal,[status(thm)],[f200]) ).
fof(f202,plain,
p18(f9(c21),f14(f4(f7(c19,c20),c21)),f14(f4(f7(c19,c20),c21))),
inference(forward_subsumption_resolution,[status(thm)],[f201,f43]) ).
fof(f203,plain,
~ p15(c21),
inference(resolution,[status(thm)],[f202,f47]) ).
fof(f204,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f203,f36]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN625-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n018.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 11:11:59 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 % Drodi V4.1.1
% 0.18/0.58 % Refutation found
% 0.18/0.58 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.18/0.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.59 % Elapsed time: 0.145891 seconds
% 0.18/0.59 % CPU time: 0.929502 seconds
% 0.18/0.59 % Total memory used: 27.901 MB
% 0.18/0.59 % Net memory used: 26.210 MB
%------------------------------------------------------------------------------