%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN717-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 03:17:09 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.38s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 20
% Syntax : Number of formulae : 68 ( 21 unt; 6 def)
% Number of atoms : 147 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 167 ( 88 ~; 73 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 7 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 100 ( 100 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,negated_conjecture,
! [X103] : p32(X103,X103),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X89] : p3(X89,X89),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [X72] : p26(X72,X72),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [X58] : p23(X58,X58),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [X27] : p19(X27,X27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
p23(c79,c77),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,negated_conjecture,
p60(f25(c75,c79),f21(c76,c78)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
p59(f29(c73,f31(f33(c74,c77),c78)),c72),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f72,negated_conjecture,
! [X59,X60,X58] :
( ~ p23(X58,X60)
| ~ p23(X58,X59)
| p23(X59,X60) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f83,negated_conjecture,
! [X179,X180,X182,X181] :
( ~ p28(X181,X179)
| ~ p59(X181,X182)
| ~ p3(X182,X180)
| p59(X179,X180) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f95,negated_conjecture,
! [X78,X79,X80,X81] :
( ~ p30(X78,X80)
| ~ p19(X79,X81)
| p27(f31(X78,X79),f31(X80,X81)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f96,negated_conjecture,
! [X85,X86,X87,X88] :
( ~ p27(X86,X88)
| ~ p26(X85,X87)
| p28(f29(X85,X86),f29(X87,X88)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f98,negated_conjecture,
! [X99,X100,X101,X102] :
( ~ p32(X99,X101)
| ~ p23(X100,X102)
| p30(f33(X99,X100),f33(X101,X102)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f107,negated_conjecture,
! [X209,X212,X211,X210] :
( ~ p59(f29(c73,f31(f33(c74,X209),X210)),c72)
| ~ p59(f29(c73,f31(f33(c74,X211),X212)),c72)
| ~ p60(f25(c75,X209),f21(c76,X212)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f133,plain,
! [X0] : p32(X0,X0),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f135,plain,
! [X0] : p3(X0,X0),
inference(cnf_transformation,[status(thm)],[f22]) ).
fof(f138,plain,
! [X0] : p26(X0,X0),
inference(cnf_transformation,[status(thm)],[f25]) ).
fof(f140,plain,
! [X0] : p23(X0,X0),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f144,plain,
! [X0] : p19(X0,X0),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f149,plain,
p23(c79,c77),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f155,plain,
p60(f25(c75,c79),f21(c76,c78)),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f157,plain,
p59(f29(c73,f31(f33(c74,c77),c78)),c72),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f211,plain,
! [X60,X58] :
( ~ p23(X58,X60)
| ! [X59] :
( ~ p23(X58,X59)
| p23(X59,X60) ) ),
inference(miniscoping,[status(thm)],[f72]) ).
fof(f212,plain,
! [X0,X1,X2] :
( ~ p23(X2,X1)
| ~ p23(X2,X0)
| p23(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f211]) ).
fof(f232,plain,
! [X179,X181] :
( ~ p28(X181,X179)
| ! [X182] :
( ~ p59(X181,X182)
| ! [X180] :
( ~ p3(X182,X180)
| p59(X179,X180) ) ) ),
inference(miniscoping,[status(thm)],[f83]) ).
fof(f233,plain,
! [X0,X1,X2,X3] :
( ~ p28(X3,X0)
| ~ p59(X3,X2)
| ~ p3(X2,X1)
| p59(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f232]) ).
fof(f256,plain,
! [X78,X80] :
( ~ p30(X78,X80)
| ! [X79,X81] :
( ~ p19(X79,X81)
| p27(f31(X78,X79),f31(X80,X81)) ) ),
inference(miniscoping,[status(thm)],[f95]) ).
fof(f257,plain,
! [X0,X1,X2,X3] :
( ~ p30(X0,X2)
| ~ p19(X1,X3)
| p27(f31(X0,X1),f31(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f256]) ).
fof(f258,plain,
! [X86,X88] :
( ~ p27(X86,X88)
| ! [X85,X87] :
( ~ p26(X85,X87)
| p28(f29(X85,X86),f29(X87,X88)) ) ),
inference(miniscoping,[status(thm)],[f96]) ).
fof(f259,plain,
! [X0,X1,X2,X3] :
( ~ p27(X1,X3)
| ~ p26(X0,X2)
| p28(f29(X0,X1),f29(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f258]) ).
fof(f262,plain,
! [X99,X101] :
( ~ p32(X99,X101)
| ! [X100,X102] :
( ~ p23(X100,X102)
| p30(f33(X99,X100),f33(X101,X102)) ) ),
inference(miniscoping,[status(thm)],[f98]) ).
fof(f263,plain,
! [X0,X1,X2,X3] :
( ~ p32(X0,X2)
| ~ p23(X1,X3)
| p30(f33(X0,X1),f33(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f262]) ).
fof(f280,plain,
! [X209] :
( ! [X210] : ~ p59(f29(c73,f31(f33(c74,X209),X210)),c72)
| ! [X212] :
( ! [X211] : ~ p59(f29(c73,f31(f33(c74,X211),X212)),c72)
| ~ p60(f25(c75,X209),f21(c76,X212)) ) ),
inference(miniscoping,[status(thm)],[f107]) ).
fof(f281,plain,
! [X0,X1,X2,X3] :
( ~ p59(f29(c73,f31(f33(c74,X0),X3)),c72)
| ~ p59(f29(c73,f31(f33(c74,X2),X1)),c72)
| ~ p60(f25(c75,X0),f21(c76,X1)) ),
inference(cnf_transformation,[status(thm)],[f280]) ).
fof(f312,plain,
! [X0,X1] :
( ~ p59(f29(c73,f31(f33(c74,c79),X1)),c72)
| ~ p59(f29(c73,f31(f33(c74,X0),c78)),c72) ),
inference(resolution,[status(thm)],[f281,f155]) ).
fof(f314,definition,
! [X0] :
( sQ0_spl
<=> ~ p59(f29(c73,f31(f33(c74,X0),c78)),c72) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f315,plain,
! [X0] :
( ~ sQ0_spl
| ~ p59(f29(c73,f31(f33(c74,X0),c78)),c72) ),
inference(component_clause,[status(thm)],[f314]) ).
fof(f317,definition,
! [X1] :
( sQ1_spl
<=> ~ p59(f29(c73,f31(f33(c74,c79),X1)),c72) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f318,plain,
! [X0] :
( ~ sQ1_spl
| ~ p59(f29(c73,f31(f33(c74,c79),X0)),c72) ),
inference(component_clause,[status(thm)],[f317]) ).
fof(f320,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f312,f314,f317]) ).
fof(f330,plain,
( ~ sQ0_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f157,f315]) ).
fof(f332,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f330]) ).
fof(f333,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ p28(X1,f29(c73,f31(f33(c74,c79),X2)))
| ~ p59(X1,X0)
| ~ p3(X0,c72) ),
inference(resolution,[status(thm)],[f318,f233]) ).
fof(f336,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ p28(X0,f29(c73,f31(f33(c74,c79),X1)))
| ~ p59(X0,c72) ),
inference(resolution,[status(thm)],[f333,f135]) ).
fof(f337,plain,
! [X0,X1,X2] :
( ~ sQ1_spl
| ~ p27(X1,f31(f33(c74,c79),X2))
| ~ p26(X0,c73)
| ~ p59(f29(X0,X1),c72) ),
inference(resolution,[status(thm)],[f336,f259]) ).
fof(f341,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ p27(X0,f31(f33(c74,c79),X1))
| ~ p59(f29(c73,X0),c72) ),
inference(resolution,[status(thm)],[f337,f138]) ).
fof(f342,plain,
! [X0] :
( ~ sQ1_spl
| ~ p27(f31(f33(c74,c77),c78),f31(f33(c74,c79),X0)) ),
inference(resolution,[status(thm)],[f341,f157]) ).
fof(f345,plain,
! [X0] :
( ~ sQ1_spl
| ~ p30(f33(c74,c77),f33(c74,c79))
| ~ p19(c78,X0) ),
inference(resolution,[status(thm)],[f342,f257]) ).
fof(f347,definition,
! [X0] :
( sQ4_spl
<=> ~ p19(c78,X0) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f348,plain,
! [X0] :
( ~ sQ4_spl
| ~ p19(c78,X0) ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f350,definition,
( sQ5_spl
<=> p30(f33(c74,c77),f33(c74,c79)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f352,plain,
( sQ5_spl
| ~ p30(f33(c74,c77),f33(c74,c79)) ),
inference(component_clause,[status(thm)],[f350]) ).
fof(f353,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f345,f347,f350,f317]) ).
fof(f355,plain,
( ~ sQ4_spl
| $false ),
inference(resolution,[status(thm)],[f348,f144]) ).
fof(f356,plain,
~ sQ4_spl,
inference(contradiction_clause,[status(thm)],[f355]) ).
fof(f357,plain,
( sQ5_spl
| ~ p32(c74,c74)
| ~ p23(c77,c79) ),
inference(resolution,[status(thm)],[f352,f263]) ).
fof(f359,definition,
( sQ6_spl
<=> p23(c77,c79) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f361,plain,
( sQ6_spl
| ~ p23(c77,c79) ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,definition,
( sQ7_spl
<=> p32(c74,c74) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f364,plain,
( sQ7_spl
| ~ p32(c74,c74) ),
inference(component_clause,[status(thm)],[f362]) ).
fof(f365,plain,
( sQ5_spl
| ~ sQ7_spl
| ~ sQ6_spl ),
inference(split_clause,[status(thm)],[f357,f359,f362,f350]) ).
fof(f366,plain,
! [X0] :
( sQ6_spl
| ~ p23(X0,c79)
| ~ p23(X0,c77) ),
inference(resolution,[status(thm)],[f361,f212]) ).
fof(f368,plain,
( sQ6_spl
| ~ p23(c79,c77) ),
inference(resolution,[status(thm)],[f366,f140]) ).
fof(f369,plain,
( sQ6_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f368,f149]) ).
fof(f370,plain,
sQ6_spl,
inference(contradiction_clause,[status(thm)],[f369]) ).
fof(f371,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f364,f133]) ).
fof(f372,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f371]) ).
fof(f373,plain,
$false,
inference(sat_refutation,[status(thm)],[f320,f332,f353,f356,f365,f370,f372]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN717-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 11:13:34 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.15/0.38 % Refutation found
% 0.15/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.40 % Elapsed time: 0.032165 seconds
% 0.15/0.40 % CPU time: 0.098723 seconds
% 0.15/0.40 % Total memory used: 6.350 MB
% 0.15/0.40 % Net memory used: 6.315 MB
%------------------------------------------------------------------------------