%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN648-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 03:17:00 PM UTC 2026
% Result : Unsatisfiable 0.09s 5.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 11 unt; 3 def)
% Number of atoms : 118 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 161 ( 77 ~; 81 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 4 prp; 0-2 aty)
% Number of functors : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X65] : p3(X65,X65),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
p2(c27,c30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
p26(c31,c30),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
~ p24(f4(c27,c28),c29),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,negated_conjecture,
! [X56,X57] :
( ~ p24(f4(f6(c32,c30),X56),X57)
| p24(f4(c30,X56),X57) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
! [X52,X54,X55,X53] :
( ~ p24(f4(X53,f17(f19(f21(f23(c33,X52),X54),X55),X53)),f9(f11(f13(f15(c34,X52),X54),X55),X53))
| ~ p3(X54,f4(X55,c28))
| ~ p26(c31,X53)
| ~ p2(X55,X53)
| ~ p3(X52,X54)
| p24(X52,c29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
! [X52,X53,X54,X55] :
( ~ p3(X54,f4(X55,c28))
| ~ p26(c31,X53)
| ~ p2(X55,X53)
| ~ p3(X52,X54)
| p24(f4(f6(c32,X53),f17(f19(f21(f23(c33,X52),X54),X55),X53)),f9(f11(f13(f15(c34,X52),X54),X55),X53))
| p24(X52,c29) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,plain,
! [X0] : p3(X0,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f58,plain,
p2(c27,c30),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f59,plain,
p26(c31,c30),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f60,plain,
~ p24(f4(c27,c28),c29),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f87,plain,
! [X0,X1] :
( ~ p24(f4(f6(c32,c30),X0),X1)
| p24(f4(c30,X0),X1) ),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f112,plain,
! [X0,X1,X2,X3] :
( ~ p24(f4(X3,f17(f19(f21(f23(c33,X0),X1),X2),X3)),f9(f11(f13(f15(c34,X0),X1),X2),X3))
| ~ p3(X1,f4(X2,c28))
| ~ p26(c31,X3)
| ~ p2(X2,X3)
| ~ p3(X0,X1)
| p24(X0,c29) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f113,plain,
! [X54,X55] :
( ~ p3(X54,f4(X55,c28))
| ! [X53] :
( ~ p26(c31,X53)
| ~ p2(X55,X53)
| ! [X52] :
( ~ p3(X52,X54)
| p24(f4(f6(c32,X53),f17(f19(f21(f23(c33,X52),X54),X55),X53)),f9(f11(f13(f15(c34,X52),X54),X55),X53))
| p24(X52,c29) ) ) ),
inference(miniscoping,[status(thm)],[f44]) ).
fof(f114,plain,
! [X0,X1,X2,X3] :
( ~ p3(X2,f4(X3,c28))
| ~ p26(c31,X1)
| ~ p2(X3,X1)
| ~ p3(X0,X2)
| p24(f4(f6(c32,X1),f17(f19(f21(f23(c33,X0),X2),X3),X1)),f9(f11(f13(f15(c34,X0),X2),X3),X1))
| p24(X0,c29) ),
inference(cnf_transformation,[status(thm)],[f113]) ).
fof(f115,plain,
! [X0,X1,X2] :
( p24(f4(c30,f17(f19(f21(f23(c33,X0),X1),X2),c30)),f9(f11(f13(f15(c34,X0),X1),X2),c30))
| ~ p3(X1,f4(X2,c28))
| ~ p26(c31,c30)
| ~ p2(X2,c30)
| ~ p3(X0,X1)
| p24(X0,c29) ),
inference(resolution,[status(thm)],[f114,f87]) ).
fof(f117,definition,
! [X0,X1,X2] :
( sQ0_spl
<=> ( p24(f4(c30,f17(f19(f21(f23(c33,X0),X1),X2),c30)),f9(f11(f13(f15(c34,X0),X1),X2),c30))
| ~ p3(X1,f4(X2,c28))
| ~ p2(X2,c30)
| ~ p3(X0,X1)
| p24(X0,c29) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| p24(f4(c30,f17(f19(f21(f23(c33,X0),X1),X2),c30)),f9(f11(f13(f15(c34,X0),X1),X2),c30))
| ~ p3(X1,f4(X2,c28))
| ~ p2(X2,c30)
| ~ p3(X0,X1)
| p24(X0,c29) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f120,definition,
( sQ1_spl
<=> p26(c31,c30) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f122,plain,
( sQ1_spl
| ~ p26(c31,c30) ),
inference(component_clause,[status(thm)],[f120]) ).
fof(f123,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f115,f117,f120]) ).
fof(f124,plain,
! [X0,X1,X2] :
( ~ sQ0_spl
| ~ p3(X1,f4(X2,c28))
| ~ p26(c31,c30)
| ~ p2(X2,c30)
| ~ p3(X0,X1)
| p24(X0,c29)
| ~ p3(X1,f4(X2,c28))
| ~ p2(X2,c30)
| ~ p3(X0,X1)
| p24(X0,c29) ),
inference(resolution,[status(thm)],[f118,f112]) ).
fof(f126,definition,
! [X0,X1,X2] :
( sQ2_spl
<=> ( ~ p3(X1,f4(X2,c28))
| ~ p2(X2,c30)
| ~ p3(X0,X1)
| p24(X0,c29)
| ~ p3(X1,f4(X2,c28))
| ~ p2(X2,c30)
| ~ p3(X0,X1)
| p24(X0,c29) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f127,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ p3(X1,f4(X2,c28))
| ~ p2(X2,c30)
| ~ p3(X0,X1)
| p24(X0,c29)
| ~ p3(X1,f4(X2,c28))
| ~ p2(X2,c30)
| ~ p3(X0,X1)
| p24(X0,c29) ),
inference(component_clause,[status(thm)],[f126]) ).
fof(f129,plain,
( ~ sQ0_spl
| ~ sQ1_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f124,f126,f120,f117]) ).
fof(f130,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f122,f59]) ).
fof(f131,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f130]) ).
fof(f132,plain,
! [X0,X1,X2] :
( ~ sQ2_spl
| ~ p3(X1,f4(X2,c28))
| ~ p2(X2,c30)
| ~ p3(X0,X1)
| p24(X0,c29) ),
inference(duplicate_literals_removal,[status(thm)],[f127]) ).
fof(f139,plain,
! [X0,X1] :
( ~ sQ2_spl
| ~ p3(X0,f4(X1,c28))
| ~ p2(X1,c30)
| ~ p3(f4(c27,c28),X0) ),
inference(resolution,[status(thm)],[f132,f60]) ).
fof(f141,plain,
! [X0] :
( ~ sQ2_spl
| ~ p3(X0,f4(c27,c28))
| ~ p3(f4(c27,c28),X0) ),
inference(resolution,[status(thm)],[f139,f58]) ).
fof(f146,plain,
( ~ sQ2_spl
| ~ p3(f4(c27,c28),f4(c27,c28)) ),
inference(resolution,[status(thm)],[f141,f49]) ).
fof(f148,plain,
( ~ sQ2_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f146,f49]) ).
fof(f149,plain,
~ sQ2_spl,
inference(contradiction_clause,[status(thm)],[f148]) ).
fof(f150,plain,
$false,
inference(sat_refutation,[status(thm)],[f123,f129,f131,f149]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN648-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.36 % Computer : n018.cluster.edu
% 0.09/5.36 % Model : x86_64 x86_64
% 0.09/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.36 % Memory : 8046.5625MB
% 0.09/5.36 % OS : Linux 6.8.0-71-generic
% 0.09/5.36 % CPULimit : 300
% 0.09/5.36 % WCLimit : 300
% 0.09/5.36 % DateTime : Mon Sep 21 11:13:35 UTC 2026
% 0.09/5.37 % CPUTime :
% 0.09/5.37 % Drodi V4.1.1
% 0.09/5.39 % Refutation found
% 0.09/5.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/5.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/5.41 % Elapsed time: 0.038493 seconds
% 0.14/5.41 % CPU time: 0.115807 seconds
% 0.14/5.41 % Total memory used: 16.260 MB
% 0.14/5.41 % Net memory used: 16.157 MB
%------------------------------------------------------------------------------