%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN620-1 : 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 03:16:56 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.38s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 13 unt; 2 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 68 ( 37 ~; 29 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 3 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 43 ( 43 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X20] : p11(X20,X20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [X23,X24] :
( ~ p10(X23,X24)
| p11(f12(X23),f12(X24)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [X1,X2,X0] :
( ~ p10(X0,X2)
| ~ p10(X0,X1)
| p10(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,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,
! [X36,X37,X39,X38] :
( ~ p11(X38,X36)
| ~ p20(X38,X39)
| ~ p11(X39,X37)
| p20(X36,X37) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
! [X40] : p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),X40))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,plain,
! [X0] : p10(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f39,plain,
! [X0] : p11(X0,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f52,plain,
! [X0,X1] :
( ~ p10(X0,X1)
| p11(f12(X0),f12(X1)) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f53,plain,
! [X2,X0] :
( ~ p10(X0,X2)
| ! [X1] :
( ~ p10(X0,X1)
| p10(X1,X2) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ~ p10(X2,X1)
| ~ p10(X2,X0)
| p10(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f63,plain,
! [X0] : p10(f13(f6(c22),X0),f13(f6(c24),f16(c26,X0))),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f69,plain,
! [X36,X38] :
( ~ p11(X38,X36)
| ! [X39] :
( ~ p20(X38,X39)
| ! [X37] :
( ~ p11(X39,X37)
| p20(X36,X37) ) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f70,plain,
! [X0,X1,X2,X3] :
( ~ p11(X3,X0)
| ~ p20(X3,X2)
| ~ p11(X2,X1)
| p20(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f69]) ).
fof(f77,plain,
! [X0] : p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),X0))),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f78,plain,
~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f81,plain,
! [X0,X1,X2] :
( ~ p11(f12(f13(f6(c22),f14(f15(f7(c25))))),X0)
| ~ p11(f12(f13(f6(c24),X2)),X1)
| p20(X0,X1) ),
inference(resolution,[status(thm)],[f77,f70]) ).
fof(f94,plain,
! [X0] :
( ~ p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25))))))
| ~ p11(f12(f13(f6(c24),X0)),f12(f13(f6(c22),c27))) ),
inference(resolution,[status(thm)],[f81,f78]) ).
fof(f96,definition,
! [X0] :
( sQ0_spl
<=> ~ p11(f12(f13(f6(c24),X0)),f12(f13(f6(c22),c27))) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f97,plain,
! [X0] :
( ~ sQ0_spl
| ~ p11(f12(f13(f6(c24),X0)),f12(f13(f6(c22),c27))) ),
inference(component_clause,[status(thm)],[f96]) ).
fof(f99,definition,
( sQ1_spl
<=> p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25)))))) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f101,plain,
( sQ1_spl
| ~ p11(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),f14(f15(f7(c25)))))) ),
inference(component_clause,[status(thm)],[f99]) ).
fof(f102,plain,
( ~ sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f94,f96,f99]) ).
fof(f112,plain,
! [X0] :
( ~ sQ0_spl
| ~ p10(f13(f6(c24),X0),f13(f6(c22),c27)) ),
inference(resolution,[status(thm)],[f97,f52]) ).
fof(f115,plain,
! [X0,X1] :
( ~ sQ0_spl
| ~ p10(X0,f13(f6(c22),c27))
| ~ p10(X0,f13(f6(c24),X1)) ),
inference(resolution,[status(thm)],[f112,f54]) ).
fof(f123,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f101,f39]) ).
fof(f124,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f123]) ).
fof(f165,plain,
! [X0] :
( ~ sQ0_spl
| ~ p10(f13(f6(c22),c27),f13(f6(c24),X0)) ),
inference(resolution,[status(thm)],[f115,f35]) ).
fof(f166,plain,
( ~ sQ0_spl
| $false ),
inference(resolution,[status(thm)],[f165,f63]) ).
fof(f169,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f166]) ).
fof(f170,plain,
$false,
inference(sat_refutation,[status(thm)],[f102,f124,f169]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN620-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n020.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 11:11:03 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.38 % Refutation found
% 0.10/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.40 % Elapsed time: 0.033205 seconds
% 0.10/0.40 % CPU time: 0.098553 seconds
% 0.10/0.40 % Total memory used: 6.633 MB
% 0.10/0.40 % Net memory used: 6.542 MB
%------------------------------------------------------------------------------