%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN624-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n013.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 03:16:57 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.38s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 14 unt; 2 def)
% Number of atoms : 55 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 52 ( 28 ~; 22 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X57] : p5(X57,X57),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [X16] : p10(f16(X16,f14(f15(f7(c25)))),X16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [X1,X2,X0] :
( ~ p10(X0,X2)
| ~ p10(X0,X1)
| p10(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [X9] : p10(f13(f6(c22),X9),f13(f6(c24),f16(c26,X9))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
~ p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
! [X3,X4,X5,X6] :
( ~ p5(X3,X5)
| ~ p10(X4,X6)
| p10(f13(X3,X4),f13(X5,X6)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,plain,
! [X0] : p10(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f37,plain,
! [X0] : p5(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f46,plain,
! [X0] : p10(f16(X0,f14(f15(f7(c25)))),X0),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f56,plain,
! [X2,X0] :
( ~ p10(X0,X2)
| ! [X1] :
( ~ p10(X0,X1)
| p10(X1,X2) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f57,plain,
! [X0,X1,X2] :
( ~ p10(X2,X1)
| ~ p10(X2,X0)
| p10(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f66,plain,
! [X0] : p10(f13(f6(c22),X0),f13(f6(c24),f16(c26,X0))),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f68,plain,
~ p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f75,plain,
! [X3,X5] :
( ~ p5(X3,X5)
| ! [X4,X6] :
( ~ p10(X4,X6)
| p10(f13(X3,X4),f13(X5,X6)) ) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( ~ p5(X0,X2)
| ~ p10(X1,X3)
| p10(f13(X0,X1),f13(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f84,plain,
! [X0] :
( ~ p10(X0,f13(f6(c22),f14(f15(f7(c25)))))
| ~ p10(X0,f13(f6(c24),c26)) ),
inference(resolution,[status(thm)],[f68,f57]) ).
fof(f102,plain,
! [X0,X1] :
( ~ p10(X1,f13(f6(c22),f14(f15(f7(c25)))))
| ~ p10(X1,X0)
| ~ p10(X0,f13(f6(c24),c26)) ),
inference(resolution,[status(thm)],[f84,f57]) ).
fof(f154,plain,
! [X0] :
( ~ p10(f13(f6(c22),f14(f15(f7(c25)))),X0)
| ~ p10(X0,f13(f6(c24),c26)) ),
inference(resolution,[status(thm)],[f102,f36]) ).
fof(f166,plain,
~ p10(f13(f6(c24),f16(c26,f14(f15(f7(c25))))),f13(f6(c24),c26)),
inference(resolution,[status(thm)],[f154,f66]) ).
fof(f170,plain,
( ~ p5(f6(c24),f6(c24))
| ~ p10(f16(c26,f14(f15(f7(c25)))),c26) ),
inference(resolution,[status(thm)],[f166,f76]) ).
fof(f172,definition,
( sQ6_spl
<=> p10(f16(c26,f14(f15(f7(c25)))),c26) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f174,plain,
( sQ6_spl
| ~ p10(f16(c26,f14(f15(f7(c25)))),c26) ),
inference(component_clause,[status(thm)],[f172]) ).
fof(f175,definition,
( sQ7_spl
<=> p5(f6(c24),f6(c24)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f177,plain,
( sQ7_spl
| ~ p5(f6(c24),f6(c24)) ),
inference(component_clause,[status(thm)],[f175]) ).
fof(f178,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f170,f172,f175]) ).
fof(f179,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f174,f46]) ).
fof(f180,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f179]) ).
fof(f181,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f177,f37]) ).
fof(f182,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f181]) ).
fof(f183,plain,
$false,
inference(sat_refutation,[status(thm)],[f178,f180,f182]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN624-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n013.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
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 11:09:36 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % 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
% 0.12/0.42 % Elapsed time: 0.064134 seconds
% 0.12/0.42 % CPU time: 0.263152 seconds
% 0.12/0.42 % Total memory used: 18.000 MB
% 0.12/0.42 % Net memory used: 17.706 MB
%------------------------------------------------------------------------------