%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN567-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n009.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 03:16:49 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.47s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 11
% Syntax : Number of formulae : 34 ( 15 unt; 4 def)
% Number of atoms : 63 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 54 ( 25 ~; 25 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-1 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X17] : p5(f8(f6(X17)),X17),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ p2(f6(c9),f3(f4(c10))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ p2(f6(c9),f3(f7(f4(c10)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ p2(f6(c9),f3(f7(f7(f4(c10))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
! [X8,X9] :
( ~ p5(X8,X9)
| p2(f6(X8),f6(X9)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
~ p2(f6(c9),f3(f7(f7(f7(f4(c10)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [X3] :
( ~ p2(f6(f8(X3)),X3)
| p2(X3,f3(f7(f7(f7(f4(c10))))))
| p2(X3,f3(f7(f7(f4(c10)))))
| p2(X3,f3(f7(f4(c10))))
| p2(X3,f3(f4(c10))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,plain,
! [X0] : p5(f8(f6(X0)),X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f23,plain,
~ p2(f6(c9),f3(f4(c10))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f24,plain,
~ p2(f6(c9),f3(f7(f4(c10)))),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f25,plain,
~ p2(f6(c9),f3(f7(f7(f4(c10))))),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f29,plain,
! [X0,X1] :
( ~ p5(X0,X1)
| p2(f6(X0),f6(X1)) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f31,plain,
~ p2(f6(c9),f3(f7(f7(f7(f4(c10)))))),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f40,plain,
! [X0] :
( ~ p2(f6(f8(X0)),X0)
| p2(X0,f3(f7(f7(f7(f4(c10))))))
| p2(X0,f3(f7(f7(f4(c10)))))
| p2(X0,f3(f7(f4(c10))))
| p2(X0,f3(f4(c10))) ),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f121,plain,
( ~ p2(f6(f8(f6(c9))),f6(c9))
| p2(f6(c9),f3(f7(f7(f4(c10)))))
| p2(f6(c9),f3(f7(f4(c10))))
| p2(f6(c9),f3(f4(c10))) ),
inference(resolution,[status(thm)],[f40,f31]) ).
fof(f122,definition,
( sQ10_spl
<=> p2(f6(c9),f3(f4(c10))) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f123,plain,
( ~ sQ10_spl
| p2(f6(c9),f3(f4(c10))) ),
inference(component_clause,[status(thm)],[f122]) ).
fof(f125,definition,
( sQ11_spl
<=> p2(f6(c9),f3(f7(f4(c10)))) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f126,plain,
( ~ sQ11_spl
| p2(f6(c9),f3(f7(f4(c10)))) ),
inference(component_clause,[status(thm)],[f125]) ).
fof(f128,definition,
( sQ12_spl
<=> p2(f6(c9),f3(f7(f7(f4(c10))))) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f129,plain,
( ~ sQ12_spl
| p2(f6(c9),f3(f7(f7(f4(c10))))) ),
inference(component_clause,[status(thm)],[f128]) ).
fof(f131,definition,
( sQ13_spl
<=> p2(f6(f8(f6(c9))),f6(c9)) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f133,plain,
( sQ13_spl
| ~ p2(f6(f8(f6(c9))),f6(c9)) ),
inference(component_clause,[status(thm)],[f131]) ).
fof(f134,plain,
( ~ sQ13_spl
| sQ12_spl
| sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f121,f122,f125,f128,f131]) ).
fof(f167,plain,
( sQ13_spl
| ~ p5(f8(f6(c9)),c9) ),
inference(resolution,[status(thm)],[f133,f29]) ).
fof(f169,plain,
( sQ13_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f167,f22]) ).
fof(f170,plain,
sQ13_spl,
inference(contradiction_clause,[status(thm)],[f169]) ).
fof(f171,plain,
( ~ sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f129,f25]) ).
fof(f172,plain,
~ sQ12_spl,
inference(contradiction_clause,[status(thm)],[f171]) ).
fof(f173,plain,
( ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f123,f23]) ).
fof(f174,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f173]) ).
fof(f175,plain,
( ~ sQ11_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f126,f24]) ).
fof(f176,plain,
~ sQ11_spl,
inference(contradiction_clause,[status(thm)],[f175]) ).
fof(f177,plain,
$false,
inference(sat_refutation,[status(thm)],[f134,f170,f172,f174,f176]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN567-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.44 % Computer : n009.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Mon Sep 21 11:08:42 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.45 % Drodi V4.1.1
% 0.16/0.47 % Refutation found
% 0.16/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.50 % Elapsed time: 0.048462 seconds
% 0.16/0.50 % CPU time: 0.141230 seconds
% 0.16/0.50 % Total memory used: 13.078 MB
% 0.16/0.50 % Net memory used: 12.835 MB
%------------------------------------------------------------------------------