%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN585-1 : 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 03:16:51 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 31 ( 11 unt; 2 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 63 ( 34 ~; 27 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 33 ( 33 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X8] : p11(X8,X8),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ p2(c12,f3(c13)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p11(c18,f9(c12,c14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
~ p11(c18,f9(c12,f8(c16,c14))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [X9,X10,X11] :
( ~ p11(X9,X11)
| p11(X9,f8(X10,X11)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [X12,X13,X14] :
( ~ p11(X14,X13)
| ~ p11(X12,X14)
| p11(X12,X13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [X17,X15,X16] :
( ~ p11(X15,X16)
| p11(f9(X17,X15),f9(X17,X16))
| p2(X17,f3(c13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,plain,
! [X0] : p11(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f32,plain,
~ p2(c12,f3(c13)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f33,plain,
p11(c18,f9(c12,c14)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f38,plain,
~ p11(c18,f9(c12,f8(c16,c14))),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f39,plain,
! [X9,X11] :
( ~ p11(X9,X11)
| ! [X10] : p11(X9,f8(X10,X11)) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f40,plain,
! [X0,X1,X2] :
( ~ p11(X0,X2)
| p11(X0,f8(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f43,plain,
! [X13,X14] :
( ~ p11(X14,X13)
| ! [X12] :
( ~ p11(X12,X14)
| p11(X12,X13) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f44,plain,
! [X0,X1,X2] :
( ~ p11(X2,X1)
| ~ p11(X0,X2)
| p11(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f62,plain,
! [X15,X16] :
( ~ p11(X15,X16)
| ! [X17] :
( p11(f9(X17,X15),f9(X17,X16))
| p2(X17,f3(c13)) ) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f63,plain,
! [X0,X1,X2] :
( ~ p11(X1,X2)
| p11(f9(X0,X1),f9(X0,X2))
| p2(X0,f3(c13)) ),
inference(cnf_transformation,[status(thm)],[f62]) ).
fof(f69,plain,
! [X0] :
( ~ p11(X0,f9(c12,f8(c16,c14)))
| ~ p11(c18,X0) ),
inference(resolution,[status(thm)],[f38,f44]) ).
fof(f90,plain,
! [X0] :
( ~ p11(c18,f9(c12,X0))
| ~ p11(X0,f8(c16,c14))
| p2(c12,f3(c13)) ),
inference(resolution,[status(thm)],[f63,f69]) ).
fof(f91,definition,
( sQ0_spl
<=> p2(c12,f3(c13)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f92,plain,
( ~ sQ0_spl
| p2(c12,f3(c13)) ),
inference(component_clause,[status(thm)],[f91]) ).
fof(f94,definition,
! [X0] :
( sQ1_spl
<=> ( ~ p11(c18,f9(c12,X0))
| ~ p11(X0,f8(c16,c14)) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f95,plain,
! [X0] :
( ~ sQ1_spl
| ~ p11(c18,f9(c12,X0))
| ~ p11(X0,f8(c16,c14)) ),
inference(component_clause,[status(thm)],[f94]) ).
fof(f97,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f90,f91,f94]) ).
fof(f98,plain,
( ~ sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f92,f32]) ).
fof(f99,plain,
~ sQ0_spl,
inference(contradiction_clause,[status(thm)],[f98]) ).
fof(f102,plain,
( ~ sQ1_spl
| ~ p11(c14,f8(c16,c14)) ),
inference(resolution,[status(thm)],[f95,f33]) ).
fof(f106,plain,
( ~ sQ1_spl
| ~ p11(c14,c14) ),
inference(resolution,[status(thm)],[f102,f40]) ).
fof(f110,plain,
( ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f106,f28]) ).
fof(f111,plain,
~ sQ1_spl,
inference(contradiction_clause,[status(thm)],[f110]) ).
fof(f112,plain,
$false,
inference(sat_refutation,[status(thm)],[f97,f99,f111]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN585-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n020.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Sep 21 11:10:02 UTC 2026
% 0.11/0.35 % CPUTime :
% 0.11/0.36 % Drodi V4.1.1
% 0.13/0.38 % Refutation found
% 0.13/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.045901 seconds
% 0.13/0.41 % CPU time: 0.128038 seconds
% 0.13/0.41 % Total memory used: 17.564 MB
% 0.13/0.41 % Net memory used: 17.233 MB
%------------------------------------------------------------------------------