%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN622-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n002.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 03:16:56 PM UTC 2026
% Result : Unsatisfiable 0.08s 5.39s
% Output : CNFRefutation 0.08s
% 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 : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 35 ( 35 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p11(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X36] : p8(X36,X36),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X50,X51] : p8(f16(X50,f17(X51,X50)),X51),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [X37,X38,X36] :
( ~ p8(X36,X38)
| ~ p8(X36,X37)
| p8(X37,X38) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [X43] : p8(f12(f13(c23),X43),f12(f13(c26),f16(c27,X43))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [X39,X40,X41,X42] :
( ~ p8(X40,X42)
| ~ p11(X39,X41)
| p8(f12(X39,X40),f12(X41,X42)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,plain,
! [X0] : p11(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f37,plain,
! [X0] : p8(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f42,plain,
! [X0,X1] : p8(f16(X0,f17(X1,X0)),X1),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f57,plain,
! [X38,X36] :
( ~ p8(X36,X38)
| ! [X37] :
( ~ p8(X36,X37)
| p8(X37,X38) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f58,plain,
! [X0,X1,X2] :
( ~ p8(X2,X1)
| ~ p8(X2,X0)
| p8(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f63,plain,
! [X0] : p8(f12(f13(c23),X0),f12(f13(c26),f16(c27,X0))),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f65,plain,
~ p8(f12(f13(c23),f17(c28,c27)),f12(f13(c26),c28)),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f74,plain,
! [X40,X42] :
( ~ p8(X40,X42)
| ! [X39,X41] :
( ~ p11(X39,X41)
| p8(f12(X39,X40),f12(X41,X42)) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f75,plain,
! [X0,X1,X2,X3] :
( ~ p8(X1,X3)
| ~ p11(X0,X2)
| p8(f12(X0,X1),f12(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f84,plain,
! [X0] :
( ~ p8(X0,f12(f13(c26),c28))
| ~ p8(X0,f12(f13(c23),f17(c28,c27))) ),
inference(resolution,[status(thm)],[f65,f58]) ).
fof(f111,plain,
! [X0,X1] :
( ~ p8(X1,f12(f13(c23),f17(c28,c27)))
| ~ p8(X1,X0)
| ~ p8(X0,f12(f13(c26),c28)) ),
inference(resolution,[status(thm)],[f84,f58]) ).
fof(f180,plain,
! [X0] :
( ~ p8(f12(f13(c23),f17(c28,c27)),X0)
| ~ p8(X0,f12(f13(c26),c28)) ),
inference(resolution,[status(thm)],[f111,f37]) ).
fof(f216,plain,
~ p8(f12(f13(c26),f16(c27,f17(c28,c27))),f12(f13(c26),c28)),
inference(resolution,[status(thm)],[f180,f63]) ).
fof(f231,plain,
( ~ p8(f16(c27,f17(c28,c27)),c28)
| ~ p11(f13(c26),f13(c26)) ),
inference(resolution,[status(thm)],[f216,f75]) ).
fof(f233,definition,
( sQ6_spl
<=> p11(f13(c26),f13(c26)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f235,plain,
( sQ6_spl
| ~ p11(f13(c26),f13(c26)) ),
inference(component_clause,[status(thm)],[f233]) ).
fof(f236,definition,
( sQ7_spl
<=> p8(f16(c27,f17(c28,c27)),c28) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f238,plain,
( sQ7_spl
| ~ p8(f16(c27,f17(c28,c27)),c28) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( ~ sQ7_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f231,f233,f236]) ).
fof(f240,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f235,f35]) ).
fof(f241,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f240]) ).
fof(f242,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f238,f42]) ).
fof(f243,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f242]) ).
fof(f244,plain,
$false,
inference(sat_refutation,[status(thm)],[f239,f241,f243]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN622-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/5.37 % Computer : n002.cluster.edu
% 0.08/5.37 % Model : x86_64 x86_64
% 0.08/5.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/5.37 % Memory : 8046.5625MB
% 0.08/5.37 % OS : Linux 6.8.0-71-generic
% 0.08/5.37 % CPULimit : 300
% 0.08/5.37 % WCLimit : 300
% 0.08/5.37 % DateTime : Mon Sep 21 11:12:52 UTC 2026
% 0.08/5.37 % CPUTime :
% 0.08/5.37 % Drodi V4.1.1
% 0.08/5.39 % Refutation found
% 0.08/5.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/5.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/5.42 % Elapsed time: 0.043084 seconds
% 0.13/5.42 % CPU time: 0.152972 seconds
% 0.13/5.42 % Total memory used: 18.329 MB
% 0.13/5.42 % Net memory used: 18.008 MB
%------------------------------------------------------------------------------