%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN619-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : 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 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 17
% Syntax : Number of formulae : 51 ( 13 unt; 7 def)
% Number of atoms : 113 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 107 ( 45 ~; 55 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X18] : p2(X18,X18),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X9] : p17(X9,X9),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p18(c24,f6(c25)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ p18(c24,f6(f7(c22,c23))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [X10,X11] :
( ~ p17(f3(X10),X11)
| p17(X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
! [X12] :
( ~ p18(X12,f6(c25))
| p2(f14(X12),c20)
| p18(X12,f6(c19)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [X12] :
( ~ p18(X12,f6(c25))
| p17(f3(c21),f15(X12))
| p18(X12,f6(c19)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
! [X59,X58,X60] :
( ~ p8(c24,f9(f13(X59,X58),X60))
| ~ p17(c21,X58)
| ~ p2(X59,c20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
! [X12] :
( ~ p18(X12,f6(c25))
| p8(X12,f9(f13(f14(X12),f15(X12)),f16(X12)))
| p18(X12,f6(c19)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [X17] :
( ~ p18(X17,f6(c19))
| p8(X17,f9(f13(c20,c21),f11(f12(f7(c22,c23)))))
| p18(X17,f6(f7(c22,c23))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f39,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f40,plain,
! [X0] : p17(X0,X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f41,plain,
p18(c24,f6(c25)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f42,plain,
~ p18(c24,f6(f7(c22,c23))),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f43,plain,
! [X0,X1] :
( ~ p17(f3(X0),X1)
| p17(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f65,plain,
! [X0] :
( ~ p18(X0,f6(c25))
| p2(f14(X0),c20)
| p18(X0,f6(c19)) ),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f70,plain,
! [X0] :
( ~ p18(X0,f6(c25))
| p17(f3(c21),f15(X0))
| p18(X0,f6(c19)) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f79,plain,
! [X59,X58] :
( ! [X60] : ~ p8(c24,f9(f13(X59,X58),X60))
| ~ p17(c21,X58)
| ~ p2(X59,c20) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f80,plain,
! [X0,X1,X2] :
( ~ p8(c24,f9(f13(X0,X1),X2))
| ~ p17(c21,X1)
| ~ p2(X0,c20) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f81,plain,
! [X0] :
( ~ p18(X0,f6(c25))
| p8(X0,f9(f13(f14(X0),f15(X0)),f16(X0)))
| p18(X0,f6(c19)) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f82,plain,
! [X0] :
( ~ p18(X0,f6(c19))
| p8(X0,f9(f13(c20,c21),f11(f12(f7(c22,c23)))))
| p18(X0,f6(f7(c22,c23))) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f106,plain,
! [X0] :
( p17(c21,f15(X0))
| ~ p18(X0,f6(c25))
| p18(X0,f6(c19)) ),
inference(resolution,[status(thm)],[f70,f43]) ).
fof(f121,definition,
( sQ3_spl
<=> p2(f14(c24),c20) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f124,definition,
( sQ4_spl
<=> p18(c24,f6(c25)) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f126,plain,
( sQ4_spl
| ~ p18(c24,f6(c25)) ),
inference(component_clause,[status(thm)],[f124]) ).
fof(f128,plain,
( sQ4_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f126,f41]) ).
fof(f129,plain,
sQ4_spl,
inference(contradiction_clause,[status(thm)],[f128]) ).
fof(f134,plain,
( ~ p17(c21,f15(c24))
| ~ p2(f14(c24),c20)
| ~ p18(c24,f6(c25))
| p18(c24,f6(c19)) ),
inference(resolution,[status(thm)],[f81,f80]) ).
fof(f135,definition,
( sQ5_spl
<=> p18(c24,f6(c19)) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f137,plain,
( sQ5_spl
| ~ p18(c24,f6(c19)) ),
inference(component_clause,[status(thm)],[f135]) ).
fof(f138,definition,
( sQ6_spl
<=> p17(c21,f15(c24)) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f141,plain,
( ~ sQ6_spl
| ~ sQ3_spl
| ~ sQ4_spl
| sQ5_spl ),
inference(split_clause,[status(thm)],[f134,f135,f124,f121,f138]) ).
fof(f142,plain,
( ~ p17(c21,c21)
| ~ p2(c20,c20)
| ~ p18(c24,f6(c19))
| p18(c24,f6(f7(c22,c23))) ),
inference(resolution,[status(thm)],[f82,f80]) ).
fof(f143,definition,
( sQ7_spl
<=> p18(c24,f6(f7(c22,c23))) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f144,plain,
( ~ sQ7_spl
| p18(c24,f6(f7(c22,c23))) ),
inference(component_clause,[status(thm)],[f143]) ).
fof(f146,definition,
( sQ8_spl
<=> p2(c20,c20) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f148,plain,
( sQ8_spl
| ~ p2(c20,c20) ),
inference(component_clause,[status(thm)],[f146]) ).
fof(f149,definition,
( sQ9_spl
<=> p17(c21,c21) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f151,plain,
( sQ9_spl
| ~ p17(c21,c21) ),
inference(component_clause,[status(thm)],[f149]) ).
fof(f152,plain,
( ~ sQ9_spl
| ~ sQ8_spl
| ~ sQ5_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f142,f143,f135,f146,f149]) ).
fof(f153,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f151,f40]) ).
fof(f154,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f153]) ).
fof(f155,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f148,f39]) ).
fof(f156,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f155]) ).
fof(f157,plain,
( ~ sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f144,f42]) ).
fof(f158,plain,
~ sQ7_spl,
inference(contradiction_clause,[status(thm)],[f157]) ).
fof(f161,plain,
( sQ5_spl
| ~ p18(c24,f6(c25))
| p2(f14(c24),c20) ),
inference(resolution,[status(thm)],[f137,f65]) ).
fof(f163,plain,
( sQ5_spl
| ~ sQ4_spl
| sQ3_spl ),
inference(split_clause,[status(thm)],[f161,f121,f124,f135]) ).
fof(f164,plain,
( sQ5_spl
| p17(c21,f15(c24))
| ~ p18(c24,f6(c25)) ),
inference(resolution,[status(thm)],[f106,f137]) ).
fof(f166,plain,
( sQ5_spl
| sQ6_spl
| ~ sQ4_spl ),
inference(split_clause,[status(thm)],[f164,f124,f138,f135]) ).
fof(f168,plain,
$false,
inference(sat_refutation,[status(thm)],[f129,f141,f152,f154,f156,f158,f163,f166]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN619-1 : 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 : n002.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 11:12:47 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.39 % Refutation found
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.42 % Elapsed time: 0.040491 seconds
% 0.09/0.42 % CPU time: 0.114702 seconds
% 0.09/0.42 % Total memory used: 12.722 MB
% 0.09/0.42 % Net memory used: 12.579 MB
%------------------------------------------------------------------------------