%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN639-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 03:16:59 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.45s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 48 ( 19 unt; 4 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 146 ( 76 ~; 66 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-1 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X16] : p2(X16,X16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
~ p20(f17(c25),f17(c22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
p2(f12(f11(c25)),f7(c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
p2(f12(f11(c22)),f7(c24)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
p19(f13(f11(c23)),f13(f11(c22))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [X17,X18,X16] :
( ~ p2(X16,X18)
| ~ p2(X16,X17)
| p2(X17,X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [X12,X13,X14,X15] :
( ~ p19(X14,X15)
| ~ p2(X15,X13)
| ~ p2(X14,X12)
| p19(X12,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
! [X35,X36] :
( ~ p19(f13(f11(X35)),f13(f11(X36)))
| ~ p2(f12(f11(X35)),f7(c24))
| ~ p2(f12(f11(X36)),f7(c24))
| p20(f17(X35),f17(X36)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f47,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f49,plain,
~ p20(f17(c25),f17(c22)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f51,plain,
p2(f12(f11(c25)),f7(c24)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f52,plain,
p2(f12(f11(c22)),f7(c24)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f54,plain,
p19(f13(f11(c23)),f13(f11(c22))),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f71,plain,
! [X18,X16] :
( ~ p2(X16,X18)
| ! [X17] :
( ~ p2(X16,X17)
| p2(X17,X18) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f72,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f71]) ).
fof(f75,plain,
! [X14,X15] :
( ~ p19(X14,X15)
| ! [X13] :
( ~ p2(X15,X13)
| ! [X12] :
( ~ p2(X14,X12)
| p19(X12,X13) ) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( ~ p19(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p19(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f85,plain,
p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f86,plain,
p2(f13(f11(c25)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f87,plain,
! [X0,X1] :
( ~ p19(f13(f11(X0)),f13(f11(X1)))
| ~ p2(f12(f11(X0)),f7(c24))
| ~ p2(f12(f11(X1)),f7(c24))
| p20(f17(X0),f17(X1)) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( ~ p19(X2,X3)
| ~ p2(X3,f13(f11(X1)))
| ~ p2(X2,f13(f11(X0)))
| ~ p2(f12(f11(X0)),f7(c24))
| ~ p2(f12(f11(X1)),f7(c24))
| p20(f17(X0),f17(X1)) ),
inference(resolution,[status(thm)],[f87,f76]) ).
fof(f100,definition,
( sQ1_spl
<=> p2(f12(f11(c22)),f7(c24)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f102,plain,
( sQ1_spl
| ~ p2(f12(f11(c22)),f7(c24)) ),
inference(component_clause,[status(thm)],[f100]) ).
fof(f188,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ p19(X4,X5)
| ~ p2(X5,X3)
| ~ p2(X4,X2)
| ~ p2(X3,f13(f11(X1)))
| ~ p2(X2,f13(f11(X0)))
| ~ p2(f12(f11(X0)),f7(c24))
| ~ p2(f12(f11(X1)),f7(c24))
| p20(f17(X0),f17(X1)) ),
inference(resolution,[status(thm)],[f96,f76]) ).
fof(f227,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f102,f52]) ).
fof(f228,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f227]) ).
fof(f230,plain,
! [X0,X1,X2,X3] :
( ~ p2(f13(f11(c22)),X3)
| ~ p2(f13(f11(c23)),X2)
| ~ p2(X3,f13(f11(X1)))
| ~ p2(X2,f13(f11(X0)))
| ~ p2(f12(f11(X0)),f7(c24))
| ~ p2(f12(f11(X1)),f7(c24))
| p20(f17(X0),f17(X1)) ),
inference(resolution,[status(thm)],[f188,f54]) ).
fof(f307,definition,
( sQ5_spl
<=> p2(f12(f11(c25)),f7(c24)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f309,plain,
( sQ5_spl
| ~ p2(f12(f11(c25)),f7(c24)) ),
inference(component_clause,[status(thm)],[f307]) ).
fof(f314,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f309,f51]) ).
fof(f315,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f314]) ).
fof(f317,plain,
! [X0,X1] :
( ~ p2(f13(f11(c22)),X1)
| ~ p2(f13(f11(c23)),X0)
| ~ p2(X1,f13(f11(c22)))
| ~ p2(X0,f13(f11(c25)))
| ~ p2(f12(f11(c25)),f7(c24))
| ~ p2(f12(f11(c22)),f7(c24)) ),
inference(resolution,[status(thm)],[f230,f49]) ).
fof(f326,definition,
! [X0] :
( sQ9_spl
<=> ( ~ p2(f13(f11(c23)),X0)
| ~ p2(X0,f13(f11(c25))) ) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f327,plain,
! [X0] :
( ~ sQ9_spl
| ~ p2(f13(f11(c23)),X0)
| ~ p2(X0,f13(f11(c25))) ),
inference(component_clause,[status(thm)],[f326]) ).
fof(f329,definition,
! [X1] :
( sQ10_spl
<=> ( ~ p2(f13(f11(c22)),X1)
| ~ p2(X1,f13(f11(c22))) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f330,plain,
! [X0] :
( ~ sQ10_spl
| ~ p2(f13(f11(c22)),X0)
| ~ p2(X0,f13(f11(c22))) ),
inference(component_clause,[status(thm)],[f329]) ).
fof(f332,plain,
( sQ10_spl
| sQ9_spl
| ~ sQ5_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f317,f100,f307,f326,f329]) ).
fof(f422,plain,
! [X0,X1] :
( ~ sQ9_spl
| ~ p2(X1,f13(f11(c25)))
| ~ p2(X1,X0)
| ~ p2(f13(f11(c23)),X0) ),
inference(resolution,[status(thm)],[f327,f72]) ).
fof(f697,plain,
! [X0] :
( ~ sQ9_spl
| ~ p2(f13(f11(c25)),X0)
| ~ p2(f13(f11(c23)),X0) ),
inference(resolution,[status(thm)],[f422,f47]) ).
fof(f698,plain,
( ~ sQ9_spl
| ~ p2(f13(f11(c23)),f7(f8(f9(f8(f9(f9(f9(f9(f8(c24)))))))))) ),
inference(resolution,[status(thm)],[f697,f86]) ).
fof(f702,plain,
( ~ sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f698,f85]) ).
fof(f703,plain,
~ sQ9_spl,
inference(contradiction_clause,[status(thm)],[f702]) ).
fof(f706,plain,
( ~ sQ10_spl
| ~ p2(f13(f11(c22)),f13(f11(c22))) ),
inference(resolution,[status(thm)],[f330,f47]) ).
fof(f708,plain,
( ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f706,f47]) ).
fof(f709,plain,
~ sQ10_spl,
inference(contradiction_clause,[status(thm)],[f708]) ).
fof(f710,plain,
$false,
inference(sat_refutation,[status(thm)],[f228,f315,f332,f703,f709]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN639-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n026.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 11:13:36 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.45 % Refutation found
% 0.12/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.48 % Elapsed time: 0.122305 seconds
% 0.12/0.48 % CPU time: 0.788962 seconds
% 0.12/0.48 % Total memory used: 78.246 MB
% 0.12/0.48 % Net memory used: 75.812 MB
%------------------------------------------------------------------------------