%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN630-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 12 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 42 ( 24 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 8 con; 0-2 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
p21(c28,f9(f10(f11(c29)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
p21(c27,f12(f9(f10(f11(c29))),c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
~ p4(f5(f7(c23,f8(c24,c25)),c26),c27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [X19,X20,X21,X18,X23,X22,X24] :
( ~ p3(X18,f13(f15(f17(f16(f9(f11(c29)))),X22),f13(f15(f16(f9(f10(f11(c29)))),X24),f14(f16(X23),f15(f16(f9(f10(f11(c29)))),X21)))))
| ~ p22(f12(f9(f10(f11(c29))),f18(X20,f9(f11(c29)))),X23)
| ~ p21(X23,f12(f9(f10(f11(c29))),X20))
| ~ p21(X22,f9(f10(f11(c29))))
| p4(f5(f7(X19,f8(X20,X21)),X18),X23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,plain,
p21(c28,f9(f10(f11(c29)))),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f42,plain,
p21(c27,f12(f9(f10(f11(c29))),c24)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f48,plain,
~ p4(f5(f7(c23,f8(c24,c25)),c26),c27),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f57,plain,
p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f82,plain,
p3(c26,f13(f15(f17(f16(f9(f11(c29)))),c28),f13(f15(f16(f9(f10(f11(c29)))),c30),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25))))),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f89,plain,
! [X21,X18,X23,X22] :
( ! [X24] : ~ p3(X18,f13(f15(f17(f16(f9(f11(c29)))),X22),f13(f15(f16(f9(f10(f11(c29)))),X24),f14(f16(X23),f15(f16(f9(f10(f11(c29)))),X21)))))
| ! [X20] :
( ~ p22(f12(f9(f10(f11(c29))),f18(X20,f9(f11(c29)))),X23)
| ~ p21(X23,f12(f9(f10(f11(c29))),X20))
| ~ p21(X22,f9(f10(f11(c29))))
| ! [X19] : p4(f5(f7(X19,f8(X20,X21)),X18),X23) ) ),
inference(miniscoping,[status(thm)],[f34]) ).
fof(f90,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ p3(X3,f13(f15(f17(f16(f9(f11(c29)))),X5),f13(f15(f16(f9(f10(f11(c29)))),X6),f14(f16(X4),f15(f16(f9(f10(f11(c29)))),X2)))))
| ~ p22(f12(f9(f10(f11(c29))),f18(X1,f9(f11(c29)))),X4)
| ~ p21(X4,f12(f9(f10(f11(c29))),X1))
| ~ p21(X5,f9(f10(f11(c29))))
| p4(f5(f7(X0,f8(X1,X2)),X3),X4) ),
inference(cnf_transformation,[status(thm)],[f89]) ).
fof(f98,plain,
! [X0,X1] :
( ~ p3(c26,f13(f15(f17(f16(f9(f11(c29)))),X0),f13(f15(f16(f9(f10(f11(c29)))),X1),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25)))))
| ~ p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27)
| ~ p21(c27,f12(f9(f10(f11(c29))),c24))
| ~ p21(X0,f9(f10(f11(c29)))) ),
inference(resolution,[status(thm)],[f90,f48]) ).
fof(f99,plain,
! [X0,X1] :
( ~ p3(c26,f13(f15(f17(f16(f9(f11(c29)))),X0),f13(f15(f16(f9(f10(f11(c29)))),X1),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25)))))
| ~ p22(f12(f9(f10(f11(c29))),f18(c24,f9(f11(c29)))),c27)
| ~ p21(X0,f9(f10(f11(c29)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f98,f42]) ).
fof(f150,plain,
! [X0,X1] :
( ~ p3(c26,f13(f15(f17(f16(f9(f11(c29)))),X0),f13(f15(f16(f9(f10(f11(c29)))),X1),f14(f16(c27),f15(f16(f9(f10(f11(c29)))),c25)))))
| ~ p21(X0,f9(f10(f11(c29)))) ),
inference(forward_subsumption_resolution,[status(thm)],[f99,f57]) ).
fof(f151,plain,
~ p21(c28,f9(f10(f11(c29)))),
inference(resolution,[status(thm)],[f150,f82]) ).
fof(f153,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f151,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN630-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n013.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 11:10:05 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.058296 seconds
% 0.14/0.42 % CPU time: 0.265807 seconds
% 0.14/0.42 % Total memory used: 21.732 MB
% 0.14/0.42 % Net memory used: 20.990 MB
%------------------------------------------------------------------------------