%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN594-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 03:16:52 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 15
% Syntax : Number of formulae : 48 ( 16 unt; 5 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 98 ( 50 ~; 43 |; 0 &)
% ( 5 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 10 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X10] : p2(X10,X10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
p14(c18,f3(f4(f5(c17)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X4,X5] :
( ~ p14(X4,X5)
| p15(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p14(c19,f6(f3(f4(f5(c17))),c16)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [X4,X5] :
( ~ p15(X4,X5)
| p2(X4,X5)
| p14(X4,X5) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [X11,X12,X10] :
( ~ p2(X10,X12)
| ~ p2(X10,X11)
| p2(X11,X12) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
~ p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [X46,X47,X48] :
( ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X46),f8(f10(f11(f3(f4(f5(c17)))),X48),f9(f11(X47),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X47)
| ~ p15(X47,f6(f3(f4(f5(c17))),c16))
| ~ p14(X46,f3(f4(f5(c17)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
p14(c18,f3(f4(f5(c17)))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f32,plain,
! [X0,X1] :
( ~ p14(X0,X1)
| p15(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f34,plain,
p14(c19,f6(f3(f4(f5(c17))),c16)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f40,plain,
! [X0,X1] :
( ~ p15(X0,X1)
| p2(X0,X1)
| p14(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f43,plain,
! [X12,X10] :
( ~ p2(X10,X12)
| ! [X11] :
( ~ p2(X10,X11)
| p2(X11,X12) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f45,plain,
p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f46,plain,
~ p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f61,plain,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f63,plain,
! [X46,X47] :
( ! [X48] : ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X46),f8(f10(f11(f3(f4(f5(c17)))),X48),f9(f11(X47),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X47)
| ~ p15(X47,f6(f3(f4(f5(c17))),c16))
| ~ p14(X46,f3(f4(f5(c17)))) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f64,plain,
! [X0,X1,X2] :
( ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X0),f8(f10(f11(f3(f4(f5(c17)))),X2),f9(f11(X1),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),X1)
| ~ p15(X1,f6(f3(f4(f5(c17))),c16))
| ~ p14(X0,f3(f4(f5(c17)))) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f78,plain,
( p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)
| p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) ),
inference(resolution,[status(thm)],[f45,f40]) ).
fof(f79,definition,
( sQ0_spl
<=> p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f80,plain,
( ~ sQ0_spl
| p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) ),
inference(component_clause,[status(thm)],[f79]) ).
fof(f82,definition,
( sQ1_spl
<=> p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f83,plain,
( ~ sQ1_spl
| p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) ),
inference(component_clause,[status(thm)],[f82]) ).
fof(f85,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f78,f79,f82]) ).
fof(f86,plain,
! [X0] :
( ~ p2(X0,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))))
| ~ p2(X0,c19) ),
inference(resolution,[status(thm)],[f46,f44]) ).
fof(f105,definition,
( sQ3_spl
<=> p14(c18,f3(f4(f5(c17)))) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f107,plain,
( sQ3_spl
| ~ p14(c18,f3(f4(f5(c17)))) ),
inference(component_clause,[status(thm)],[f105]) ).
fof(f108,definition,
( sQ4_spl
<=> p15(c19,f6(f3(f4(f5(c17))),c16)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f110,plain,
( sQ4_spl
| ~ p15(c19,f6(f3(f4(f5(c17))),c16)) ),
inference(component_clause,[status(thm)],[f108]) ).
fof(f115,plain,
( sQ4_spl
| ~ p14(c19,f6(f3(f4(f5(c17))),c16)) ),
inference(resolution,[status(thm)],[f110,f32]) ).
fof(f116,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f115,f34]) ).
fof(f117,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f116]) ).
fof(f141,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X0),f8(f10(f11(f3(f4(f5(c17)))),X1),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p15(c19,f6(f3(f4(f5(c17))),c16))
| ~ p14(X0,f3(f4(f5(c17)))) ),
inference(resolution,[status(thm)],[f80,f64]) ).
fof(f144,definition,
! [X0,X1] :
( sQ7_spl
<=> ( ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X0),f8(f10(f11(f3(f4(f5(c17)))),X1),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p14(X0,f3(f4(f5(c17)))) ) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f145,plain,
! [X0,X1] :
( ~ sQ7_spl
| ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),X0),f8(f10(f11(f3(f4(f5(c17)))),X1),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p14(X0,f3(f4(f5(c17)))) ),
inference(component_clause,[status(thm)],[f144]) ).
fof(f147,plain,
( ~ sQ0_spl
| ~ sQ4_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f141,f144,f108,f79]) ).
fof(f174,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f107,f31]) ).
fof(f175,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f174]) ).
fof(f187,plain,
( ~ sQ1_spl
| ~ p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))) ),
inference(resolution,[status(thm)],[f83,f86]) ).
fof(f189,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f187,f28]) ).
fof(f190,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f189]) ).
fof(f233,plain,
( ~ sQ7_spl
| ~ p14(c18,f3(f4(f5(c17)))) ),
inference(resolution,[status(thm)],[f145,f61]) ).
fof(f235,plain,
( ~ sQ7_spl
| ~ sQ3_spl ),
inference(split_clause,[status(thm)],[f233,f105,f144]) ).
fof(f236,plain,
$false,
inference(sat_refutation,[status(thm)],[f85,f117,f147,f175,f190,f235]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN594-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n011.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 11:09:40 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.42 % Elapsed time: 0.043267 seconds
% 0.13/0.42 % CPU time: 0.100817 seconds
% 0.13/0.42 % Total memory used: 5.472 MB
% 0.13/0.42 % Net memory used: 5.317 MB
%------------------------------------------------------------------------------