%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN576-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 03:16:50 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.45s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 18
% Syntax : Number of formulae : 61 ( 20 unt; 6 def)
% Number of atoms : 146 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 162 ( 77 ~; 79 |; 0 &)
% ( 6 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 13 ( 12 usr; 7 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-3 aty)
% Number of variables : 80 ( 80 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X42] : p8(X42,X42),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X34] : p4(X34,X34),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X37] : p5(X37,X37),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p12(c15,f6(c13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
p12(c16,f6(c13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X4,X5] :
( p11(X5,X4)
| p11(X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X22,X23] : p2(f3(X22,X23),f3(X23,X22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
! [X6,X7,X8,X9] :
( ~ p12(X8,X9)
| ~ p5(X9,X7)
| ~ p2(X8,X6)
| p12(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
~ p12(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),f6(c13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [X24,X25,X26,X27] :
( ~ p2(X25,X27)
| ~ p2(X24,X26)
| p2(f7(X24,X25),f7(X26,X27)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,negated_conjecture,
! [X28,X29,X30,X31,X32,X33] :
( ~ p2(X30,X33)
| ~ p8(X29,X32)
| ~ p4(X28,X31)
| p2(f9(X28,X29,X30),f9(X31,X32,X33)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X10,X11,X12] :
( ~ p11(f10(X11),f10(X12))
| ~ p12(X11,f6(X10))
| ~ p12(X12,f6(X10))
| p12(f7(f9(X10,c14,f3(X11,X12)),f3(X11,X12)),f6(X10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,plain,
! [X0] : p8(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f25,plain,
! [X0] : p4(X0,X0),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f26,plain,
! [X0] : p5(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f27,plain,
p12(c15,f6(c13)),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f28,plain,
p12(c16,f6(c13)),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f29,plain,
! [X0,X1] :
( p11(X1,X0)
| p11(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f30,plain,
! [X0,X1] : p2(f3(X0,X1),f3(X1,X0)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f43,plain,
! [X8,X9] :
( ~ p12(X8,X9)
| ! [X7] :
( ~ p5(X9,X7)
| ! [X6] :
( ~ p2(X8,X6)
| p12(X6,X7) ) ) ),
inference(miniscoping,[status(thm)],[f16]) ).
fof(f44,plain,
! [X0,X1,X2,X3] :
( ~ p12(X2,X3)
| ~ p5(X3,X1)
| ~ p2(X2,X0)
| p12(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f45,plain,
~ p12(f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16)),f6(c13)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f48,plain,
! [X25,X27] :
( ~ p2(X25,X27)
| ! [X24,X26] :
( ~ p2(X24,X26)
| p2(f7(X24,X25),f7(X26,X27)) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f49,plain,
! [X0,X1,X2,X3] :
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f7(X0,X1),f7(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f48]) ).
fof(f50,plain,
! [X30,X33] :
( ~ p2(X30,X33)
| ! [X29,X32] :
( ~ p8(X29,X32)
| ! [X28,X31] :
( ~ p4(X28,X31)
| p2(f9(X28,X29,X30),f9(X31,X32,X33)) ) ) ),
inference(miniscoping,[status(thm)],[f20]) ).
fof(f51,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ p2(X2,X5)
| ~ p8(X1,X4)
| ~ p4(X0,X3)
| p2(f9(X0,X1,X2),f9(X3,X4,X5)) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f54,plain,
! [X11,X12] :
( ~ p11(f10(X11),f10(X12))
| ! [X10] :
( ~ p12(X11,f6(X10))
| ~ p12(X12,f6(X10))
| p12(f7(f9(X10,c14,f3(X11,X12)),f3(X11,X12)),f6(X10)) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ~ p11(f10(X1),f10(X2))
| ~ p12(X1,f6(X0))
| ~ p12(X2,f6(X0))
| p12(f7(f9(X0,c14,f3(X1,X2)),f3(X1,X2)),f6(X0)) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f56,plain,
! [X0,X1] :
( ~ p12(X0,X1)
| ~ p5(X1,f6(c13))
| ~ p2(X0,f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16))) ),
inference(resolution,[status(thm)],[f45,f44]) ).
fof(f59,plain,
! [X0] :
( ~ p12(X0,f6(c13))
| ~ p2(X0,f7(f9(c13,c14,f3(c15,c16)),f3(c15,c16))) ),
inference(resolution,[status(thm)],[f56,f26]) ).
fof(f60,plain,
! [X0,X1] :
( ~ p2(X1,f3(c15,c16))
| ~ p2(X0,f9(c13,c14,f3(c15,c16)))
| ~ p12(f7(X0,X1),f6(c13)) ),
inference(resolution,[status(thm)],[f59,f49]) ).
fof(f68,plain,
! [X0,X1,X2] :
( p11(f10(X2),f10(X1))
| ~ p12(X1,f6(X0))
| ~ p12(X2,f6(X0))
| p12(f7(f9(X0,c14,f3(X1,X2)),f3(X1,X2)),f6(X0)) ),
inference(resolution,[status(thm)],[f55,f29]) ).
fof(f71,definition,
( sQ0_spl
<=> p12(c16,f6(c13)) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f73,plain,
( sQ0_spl
| ~ p12(c16,f6(c13)) ),
inference(component_clause,[status(thm)],[f71]) ).
fof(f74,definition,
( sQ1_spl
<=> p12(c15,f6(c13)) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f76,plain,
( sQ1_spl
| ~ p12(c15,f6(c13)) ),
inference(component_clause,[status(thm)],[f74]) ).
fof(f89,plain,
( sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f76,f27]) ).
fof(f90,plain,
sQ1_spl,
inference(contradiction_clause,[status(thm)],[f89]) ).
fof(f91,plain,
( sQ0_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f73,f28]) ).
fof(f92,plain,
sQ0_spl,
inference(contradiction_clause,[status(thm)],[f91]) ).
fof(f101,plain,
! [X0,X1,X2,X3] :
( ~ p12(X2,f6(X3))
| ~ p12(X1,f6(X3))
| p12(f7(f9(X3,c14,f3(X2,X1)),f3(X2,X1)),f6(X3))
| ~ p12(X1,f6(X0))
| ~ p12(X2,f6(X0))
| p12(f7(f9(X0,c14,f3(X1,X2)),f3(X1,X2)),f6(X0)) ),
inference(resolution,[status(thm)],[f68,f55]) ).
fof(f113,plain,
! [X0,X1,X2] :
( ~ p2(f3(X2,X1),f3(c15,c16))
| ~ p2(f9(c13,c14,f3(X2,X1)),f9(c13,c14,f3(c15,c16)))
| ~ p12(X2,f6(c13))
| ~ p12(X1,f6(c13))
| ~ p12(X1,f6(X0))
| ~ p12(X2,f6(X0))
| p12(f7(f9(X0,c14,f3(X1,X2)),f3(X1,X2)),f6(X0)) ),
inference(resolution,[status(thm)],[f101,f60]) ).
fof(f179,definition,
( sQ6_spl
<=> p2(f9(c13,c14,f3(c16,c15)),f9(c13,c14,f3(c15,c16))) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f181,plain,
( sQ6_spl
| ~ p2(f9(c13,c14,f3(c16,c15)),f9(c13,c14,f3(c15,c16))) ),
inference(component_clause,[status(thm)],[f179]) ).
fof(f182,definition,
( sQ7_spl
<=> p2(f3(c16,c15),f3(c15,c16)) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f184,plain,
( sQ7_spl
| ~ p2(f3(c16,c15),f3(c15,c16)) ),
inference(component_clause,[status(thm)],[f182]) ).
fof(f205,definition,
( sQ9_spl
<=> p4(c13,c13) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f207,plain,
( sQ9_spl
| ~ p4(c13,c13) ),
inference(component_clause,[status(thm)],[f205]) ).
fof(f208,definition,
( sQ10_spl
<=> p8(c14,c14) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f210,plain,
( sQ10_spl
| ~ p8(c14,c14) ),
inference(component_clause,[status(thm)],[f208]) ).
fof(f219,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f210,f23]) ).
fof(f220,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f219]) ).
fof(f235,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f207,f25]) ).
fof(f236,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f235]) ).
fof(f254,plain,
( ~ p2(f3(c16,c15),f3(c15,c16))
| ~ p2(f9(c13,c14,f3(c16,c15)),f9(c13,c14,f3(c15,c16)))
| ~ p12(c16,f6(c13))
| ~ p12(c15,f6(c13))
| ~ p12(c15,f6(c13))
| ~ p12(c16,f6(c13)) ),
inference(resolution,[status(thm)],[f113,f45]) ).
fof(f256,plain,
( ~ sQ7_spl
| ~ sQ6_spl
| ~ sQ1_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f254,f71,f74,f179,f182]) ).
fof(f310,plain,
( sQ6_spl
| ~ p2(f3(c16,c15),f3(c15,c16))
| ~ p8(c14,c14)
| ~ p4(c13,c13) ),
inference(resolution,[status(thm)],[f181,f51]) ).
fof(f312,plain,
( sQ6_spl
| ~ sQ7_spl
| ~ sQ10_spl
| ~ sQ9_spl ),
inference(split_clause,[status(thm)],[f310,f205,f208,f182,f179]) ).
fof(f313,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f184,f30]) ).
fof(f314,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f313]) ).
fof(f315,plain,
$false,
inference(sat_refutation,[status(thm)],[f90,f92,f220,f236,f256,f312,f314]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN576-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n010.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 11:09:25 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.45 % Refutation found
% 0.10/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.45 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.46 % Elapsed time: 0.098619 seconds
% 0.10/0.46 % CPU time: 0.536124 seconds
% 0.10/0.46 % Total memory used: 23.640 MB
% 0.10/0.46 % Net memory used: 21.790 MB
%------------------------------------------------------------------------------