%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN568-1 : 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 03:16:49 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.60s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 11 unt; 2 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 49 ( 22 ~; 25 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
~ p11(f9(c13),f9(c14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X16] : p11(f5(f6(c12)),f9(X16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X4,X5] :
( p11(X5,X4)
| p10(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X4,X5] :
( ~ p11(X5,X4)
| ~ p10(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ p3(f6(f7(f8(c12))),f6(c12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X7,X6,X8] :
( ~ p11(f5(f6(c12)),X6)
| ~ p10(X6,X8)
| p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,plain,
~ p11(f9(c13),f9(c14)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f24,plain,
! [X0] : p11(f5(f6(c12)),f9(X0)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f25,plain,
! [X0,X1] :
( p11(X1,X0)
| p10(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f26,plain,
! [X0,X1] :
( ~ p11(X1,X0)
| ~ p10(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f27,plain,
~ p3(f6(f7(f8(c12))),f6(c12)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f43,plain,
p11(f4(f9(c13),f6(f7(f8(c12)))),f4(f9(c14),f6(f7(f8(c12))))),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f46,plain,
! [X6] :
( ~ p11(f5(f6(c12)),X6)
| ! [X8] :
( ~ p10(X6,X8)
| ! [X7] :
( p10(f4(X6,X7),f4(X8,X7))
| p3(X7,f6(c12)) ) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f47,plain,
! [X0,X1,X2] :
( ~ p11(f5(f6(c12)),X1)
| ~ p10(X1,X2)
| p10(f4(X1,X0),f4(X2,X0))
| p3(X0,f6(c12)) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ~ p10(f9(X1),X2)
| p10(f4(f9(X1),X0),f4(X2,X0))
| p3(X0,f6(c12)) ),
inference(resolution,[status(thm)],[f47,f24]) ).
fof(f73,plain,
! [X0,X1,X2] :
( p11(X2,f9(X1))
| p10(f4(f9(X1),X0),f4(X2,X0))
| p3(X0,f6(c12)) ),
inference(resolution,[status(thm)],[f72,f25]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ~ p11(f4(X1,X0),f4(f9(X2),X0))
| p11(X1,f9(X2))
| p3(X0,f6(c12)) ),
inference(resolution,[status(thm)],[f73,f26]) ).
fof(f76,plain,
( p11(f9(c13),f9(c14))
| p3(f6(f7(f8(c12))),f6(c12)) ),
inference(resolution,[status(thm)],[f75,f43]) ).
fof(f77,definition,
( sQ0_spl
<=> p3(f6(f7(f8(c12))),f6(c12)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f78,plain,
( ~ sQ0_spl
| p3(f6(f7(f8(c12))),f6(c12)) ),
inference(component_clause,[status(thm)],[f77]) ).
fof(f80,definition,
( sQ1_spl
<=> p11(f9(c13),f9(c14)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f81,plain,
( ~ sQ1_spl
| p11(f9(c13),f9(c14)) ),
inference(component_clause,[status(thm)],[f80]) ).
fof(f83,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f76,f77,f80]) ).
fof(f84,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f78,f27]) ).
fof(f85,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f84]) ).
fof(f86,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f81,f23]) ).
fof(f87,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f86]) ).
fof(f88,plain,
$false,
inference(sat_refutation,[status(thm)],[f83,f85,f87]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN568-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.56 % Computer : n008.cluster.edu
% 0.11/0.56 % Model : x86_64 x86_64
% 0.11/0.56 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.56 % Memory : 8046.5625MB
% 0.11/0.56 % OS : Linux 6.8.0-71-generic
% 0.11/0.56 % CPULimit : 300
% 0.11/0.56 % WCLimit : 300
% 0.11/0.56 % DateTime : Mon Sep 21 11:09:25 UTC 2026
% 0.11/0.56 % CPUTime :
% 0.11/0.57 % Drodi V4.1.1
% 0.11/0.60 % Refutation found
% 0.11/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.63 % Elapsed time: 0.050708 seconds
% 0.15/0.63 % CPU time: 0.150422 seconds
% 0.15/0.63 % Total memory used: 17.610 MB
% 0.15/0.63 % Net memory used: 17.201 MB
%------------------------------------------------------------------------------