%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN593-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n016.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 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 13
% Syntax : Number of formulae : 42 ( 19 unt; 4 def)
% Number of atoms : 91 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 89 ( 40 ~; 45 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 7 ( 3 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-2 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,negated_conjecture,
! [X24] : p3(X24,X24),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ p3(c21,c19),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ p12(f13(c20),f13(c18)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [X25,X26,X24] :
( ~ p3(X24,X26)
| ~ p3(X24,X25)
| p3(X25,X26) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [X7,X8,X5,X6] :
( ~ p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),X8),X5)
| ~ p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),X7),X5)
| p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f11(X7)),X5)
| p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f11(X8)),X5)
| p12(f13(X5),f13(c18))
| p3(X7,X8) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,plain,
! [X0] : p3(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f32,plain,
~ p3(c21,c19),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f33,plain,
~ p12(f13(c20),f13(c18)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f44,plain,
! [X26,X24] :
( ~ p3(X24,X26)
| ! [X25] :
( ~ p3(X24,X25)
| p3(X25,X26) ) ),
inference(miniscoping,[status(thm)],[f15]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f50,plain,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f51,plain,
p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f58,plain,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c21)),c20),
inference(cnf_transformation,[status(thm)],[f23]) ).
fof(f59,plain,
~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(c19)),c20),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f64,plain,
! [X8,X5,X6] :
( ~ p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),X8),X5)
| ! [X7] :
( ~ p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),X7),X5)
| p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f11(X7)),X5)
| p15(f4(f6(f10(X6),f6(f7(f8(f9(c17))),c18)),f11(X8)),X5)
| p12(f13(X5),f13(c18))
| p3(X7,X8) ) ),
inference(miniscoping,[status(thm)],[f27]) ).
fof(f65,plain,
! [X0,X1,X2,X3] :
( ~ p15(f4(f6(f10(X3),f6(f7(f8(f9(c17))),c18)),X1),X2)
| ~ p15(f4(f6(f10(X3),f6(f7(f8(f9(c17))),c18)),X0),X2)
| p15(f4(f6(f10(X3),f6(f7(f8(f9(c17))),c18)),f11(X0)),X2)
| p15(f4(f6(f10(X3),f6(f7(f8(f9(c17))),c18)),f11(X1)),X2)
| p12(f13(X2),f13(c18))
| p3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f68,plain,
! [X0] :
( ~ p3(X0,c19)
| ~ p3(X0,c21) ),
inference(resolution,[status(thm)],[f45,f32]) ).
fof(f70,plain,
~ p3(c19,c21),
inference(resolution,[status(thm)],[f68,f30]) ).
fof(f134,plain,
! [X0,X1,X2] :
( ~ p15(f4(f6(f10(X2),f6(f7(f8(f9(c17))),c18)),X1),c20)
| ~ p15(f4(f6(f10(X2),f6(f7(f8(f9(c17))),c18)),X0),c20)
| p15(f4(f6(f10(X2),f6(f7(f8(f9(c17))),c18)),f11(X0)),c20)
| p15(f4(f6(f10(X2),f6(f7(f8(f9(c17))),c18)),f11(X1)),c20)
| p3(X0,X1) ),
inference(resolution,[status(thm)],[f65,f33]) ).
fof(f143,plain,
! [X0] :
( ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20)
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X0),c20)
| p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(X0)),c20)
| p3(X0,c21) ),
inference(resolution,[status(thm)],[f134,f58]) ).
fof(f148,definition,
( sQ4_spl
<=> p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f150,plain,
( sQ4_spl
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20) ),
inference(component_clause,[status(thm)],[f148]) ).
fof(f152,definition,
! [X0] :
( sQ5_spl
<=> ( ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X0),c20)
| p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(X0)),c20)
| p3(X0,c21) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f153,plain,
! [X0] :
( ~ sQ5_spl
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),X0),c20)
| p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),f11(X0)),c20)
| p3(X0,c21) ),
inference(component_clause,[status(thm)],[f152]) ).
fof(f155,definition,
( sQ6_spl
<=> p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f157,plain,
( sQ6_spl
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c21),c20) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,plain,
( ~ sQ6_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f143,f152,f155]) ).
fof(f159,plain,
( ~ sQ5_spl
| ~ p15(f4(f6(f10(c16),f6(f7(f8(f9(c17))),c18)),c19),c20)
| p3(c19,c21) ),
inference(resolution,[status(thm)],[f153,f59]) ).
fof(f162,definition,
( sQ7_spl
<=> p3(c19,c21) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f163,plain,
( ~ sQ7_spl
| p3(c19,c21) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,plain,
( ~ sQ5_spl
| ~ sQ4_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f159,f162,f148,f152]) ).
fof(f170,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f157,f51]) ).
fof(f171,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f170]) ).
fof(f172,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f150,f50]) ).
fof(f173,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f172]) ).
fof(f174,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f163,f70]) ).
fof(f175,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f174]) ).
fof(f176,plain,
$false,
inference(sat_refutation,[status(thm)],[f158,f165,f171,f173,f175]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN593-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n016.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 11:14:23 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.38 % Refutation found
% 0.12/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.40 % Elapsed time: 0.037509 seconds
% 0.12/0.40 % CPU time: 0.126210 seconds
% 0.12/0.40 % Total memory used: 11.967 MB
% 0.12/0.40 % Net memory used: 11.797 MB
%------------------------------------------------------------------------------