%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN703-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n001.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 03:17:07 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 14 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 64 ( 33 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 11 con; 0-2 aty)
% Number of variables : 86 ( 86 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X17] : p15(X17,X17),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X30] : p2(X30,X30),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f51,negated_conjecture,
~ p47(f5(c48,f8(f11(f13(c49,c50),c51),c52)),c53),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f53,negated_conjecture,
! [X143,X144,X146,X145] :
( ~ p15(X145,X144)
| ~ p47(X146,X145)
| ~ p4(X146,X143)
| p47(X143,X144) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f60,negated_conjecture,
! [X118,X119,X120,X121] :
( ~ p3(X119,X121)
| ~ p2(X118,X120)
| p4(f5(X118,X119),f5(X120,X121)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f74,negated_conjecture,
! [X139,X140,X141,X142] :
( ~ p47(f5(c48,f8(f11(f13(c49,X139),X141),X142)),X140)
| p47(X139,X140) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f75,negated_conjecture,
! [X57,X61,X58,X59,X60] :
( ~ p47(f20(f22(f24(f26(c56,X57),X58),X59),X60),X61)
| p47(X57,X61) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f76,negated_conjecture,
! [X139,X141,X142,X140] :
( ~ p47(X139,X140)
| p47(f5(c48,f8(f11(f13(c49,X139),X141),X142)),X140) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f77,negated_conjecture,
p47(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),c53),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f80,negated_conjecture,
! [X57,X58,X59,X60] : p3(f16(f18(c54,f8(f11(f13(c49,X57),X58),X59)),X60),f8(f11(f13(c49,f20(f22(f24(f26(c56,X57),X58),X59),X60)),f30(f32(f34(f36(c57,X57),X58),X59),X60)),f40(f42(f44(f46(c58,X57),X58),X59),X60))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f85,plain,
! [X0] : p15(X0,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f88,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f156,plain,
~ p47(f5(c48,f8(f11(f13(c49,c50),c51),c52)),c53),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f158,plain,
! [X144,X145] :
( ~ p15(X145,X144)
| ! [X146] :
( ~ p47(X146,X145)
| ! [X143] :
( ~ p4(X146,X143)
| p47(X143,X144) ) ) ),
inference(miniscoping,[status(thm)],[f53]) ).
fof(f159,plain,
! [X0,X1,X2,X3] :
( ~ p15(X3,X1)
| ~ p47(X2,X3)
| ~ p4(X2,X0)
| p47(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f158]) ).
fof(f172,plain,
! [X119,X121] :
( ~ p3(X119,X121)
| ! [X118,X120] :
( ~ p2(X118,X120)
| p4(f5(X118,X119),f5(X120,X121)) ) ),
inference(miniscoping,[status(thm)],[f60]) ).
fof(f173,plain,
! [X0,X1,X2,X3] :
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f200,plain,
! [X139,X140] :
( ! [X141,X142] : ~ p47(f5(c48,f8(f11(f13(c49,X139),X141),X142)),X140)
| p47(X139,X140) ),
inference(miniscoping,[status(thm)],[f74]) ).
fof(f201,plain,
! [X0,X1,X2,X3] :
( ~ p47(f5(c48,f8(f11(f13(c49,X0),X2),X3)),X1)
| p47(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f202,plain,
! [X57,X61] :
( ! [X58,X59,X60] : ~ p47(f20(f22(f24(f26(c56,X57),X58),X59),X60),X61)
| p47(X57,X61) ),
inference(miniscoping,[status(thm)],[f75]) ).
fof(f203,plain,
! [X0,X1,X2,X3,X4] :
( ~ p47(f20(f22(f24(f26(c56,X0),X2),X3),X4),X1)
| p47(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f202]) ).
fof(f204,plain,
! [X139,X140] :
( ~ p47(X139,X140)
| ! [X141,X142] : p47(f5(c48,f8(f11(f13(c49,X139),X141),X142)),X140) ),
inference(miniscoping,[status(thm)],[f76]) ).
fof(f205,plain,
! [X0,X1,X2,X3] :
( ~ p47(X0,X3)
| p47(f5(c48,f8(f11(f13(c49,X0),X1),X2)),X3) ),
inference(cnf_transformation,[status(thm)],[f204]) ).
fof(f206,plain,
p47(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),c53),
inference(cnf_transformation,[status(thm)],[f77]) ).
fof(f209,plain,
! [X0,X1,X2,X3] : p3(f16(f18(c54,f8(f11(f13(c49,X0),X1),X2)),X3),f8(f11(f13(c49,f20(f22(f24(f26(c56,X0),X1),X2),X3)),f30(f32(f34(f36(c57,X0),X1),X2),X3)),f40(f42(f44(f46(c58,X0),X1),X2),X3))),
inference(cnf_transformation,[status(thm)],[f80]) ).
fof(f211,plain,
! [X0,X1] :
( ~ p15(c53,X1)
| ~ p4(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),X0)
| p47(X0,X1) ),
inference(resolution,[status(thm)],[f206,f159]) ).
fof(f216,plain,
! [X0] :
( ~ p4(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),X0)
| p47(X0,c53) ),
inference(resolution,[status(thm)],[f211,f85]) ).
fof(f217,plain,
! [X0,X1] :
( ~ p3(f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55),X1)
| ~ p2(c48,X0)
| p47(f5(X0,X1),c53) ),
inference(resolution,[status(thm)],[f216,f173]) ).
fof(f221,plain,
! [X0] :
( ~ p3(f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55),X0)
| p47(f5(c48,X0),c53) ),
inference(resolution,[status(thm)],[f217,f88]) ).
fof(f238,plain,
! [X0,X1,X2] :
( p47(X0,c53)
| ~ p3(f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55),f8(f11(f13(c49,X0),X1),X2)) ),
inference(resolution,[status(thm)],[f221,f201]) ).
fof(f247,plain,
p47(f20(f22(f24(f26(c56,c50),c51),c52),c55),c53),
inference(resolution,[status(thm)],[f238,f209]) ).
fof(f258,plain,
p47(c50,c53),
inference(resolution,[status(thm)],[f247,f203]) ).
fof(f261,plain,
! [X0,X1] : p47(f5(c48,f8(f11(f13(c49,c50),X0),X1)),c53),
inference(resolution,[status(thm)],[f258,f205]) ).
fof(f264,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f156,f261]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN703-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n001.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 11:18:45 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.41 % Elapsed time: 0.050256 seconds
% 0.12/0.41 % CPU time: 0.147260 seconds
% 0.12/0.41 % Total memory used: 46.705 MB
% 0.12/0.41 % Net memory used: 46.636 MB
%------------------------------------------------------------------------------