%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN600-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n005.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 03:16:53 PM UTC 2026
% Result : Unsatisfiable 0.04s 0.61s
% Output : CNFRefutation 0.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of formulae : 51 ( 16 unt; 2 def)
% Number of atoms : 133 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 166 ( 84 ~; 80 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 12 ( 3 avg)
% Number of predicates : 8 ( 7 usr; 3 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 3 con; 0-2 aty)
% Number of variables : 73 ( 73 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
p19(c21),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
p19(c22),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X32] : p7(X32,X32),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X16] : p3(X16,X16),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p7(f16(c21),f16(c22)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ p3(f4(f6(c21)),f4(f6(c22))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X41,X42] :
( ~ p7(X41,X42)
| p7(f15(X41),f15(X42)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [X17,X18,X16] :
( ~ p3(X16,X18)
| ~ p3(X16,X17)
| p3(X17,X18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
! [X0,X1,X2,X3] :
( ~ p17(X2,X3)
| ~ p7(X3,X1)
| ~ p7(X2,X0)
| p17(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X5,X6,X7,X8] :
( ~ p18(X7,X8)
| ~ p7(X8,X6)
| ~ p7(X7,X5)
| p18(X5,X6) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,negated_conjecture,
! [X4] :
( ~ p19(X4)
| p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X4))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [X4] :
( ~ p19(X4)
| p17(f15(f16(X4)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X4))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
! [X27,X28] :
( ~ p17(f15(f16(X27)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X28),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),X28),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X27)))
| ~ p19(X27)
| p3(f4(f6(X27)),X28) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,plain,
p19(c21),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f31,plain,
p19(c22),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f33,plain,
! [X0] : p7(X0,X0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f35,plain,
! [X0] : p3(X0,X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f36,plain,
p7(f16(c21),f16(c22)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f37,plain,
~ p3(f4(f6(c21)),f4(f6(c22))),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f46,plain,
! [X0,X1] :
( ~ p7(X0,X1)
| p7(f15(X0),f15(X1)) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f53,plain,
! [X18,X16] :
( ~ p3(X16,X18)
| ! [X17] :
( ~ p3(X16,X17)
| p3(X17,X18) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f54,plain,
! [X0,X1,X2] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f55,plain,
! [X2,X3] :
( ~ p17(X2,X3)
| ! [X1] :
( ~ p7(X3,X1)
| ! [X0] :
( ~ p7(X2,X0)
| p17(X0,X1) ) ) ),
inference(miniscoping,[status(thm)],[f22]) ).
fof(f56,plain,
! [X0,X1,X2,X3] :
( ~ p17(X2,X3)
| ~ p7(X3,X1)
| ~ p7(X2,X0)
| p17(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f57,plain,
! [X7,X8] :
( ~ p18(X7,X8)
| ! [X6] :
( ~ p7(X8,X6)
| ! [X5] :
( ~ p7(X7,X5)
| p18(X5,X6) ) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f58,plain,
! [X0,X1,X2,X3] :
( ~ p18(X2,X3)
| ~ p7(X3,X1)
| ~ p7(X2,X0)
| p18(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f57]) ).
fof(f65,plain,
! [X0] :
( ~ p19(X0)
| p18(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X0))) ),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f66,plain,
! [X0] :
( ~ p19(X0)
| p17(f15(f16(X0)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))) ),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f67,plain,
! [X0,X1] :
( ~ p17(f15(f16(X0)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p18(f9(f10(f13(f11(f14(f12(c20)))),X1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f15(f16(X0)))
| ~ p19(X0)
| p3(f4(f6(X0)),X1) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f76,plain,
! [X0] :
( ~ p3(X0,f4(f6(c22)))
| ~ p3(X0,f4(f6(c21))) ),
inference(resolution,[status(thm)],[f54,f37]) ).
fof(f85,plain,
~ p3(f4(f6(c22)),f4(f6(c21))),
inference(resolution,[status(thm)],[f76,f35]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ~ p7(f15(f16(X0)),X2)
| ~ p7(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),X1)
| p18(X1,X2)
| ~ p19(X0) ),
inference(resolution,[status(thm)],[f65,f58]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ~ p7(f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))),X2)
| ~ p7(f15(f16(X0)),X1)
| p17(X1,X2)
| ~ p19(X0) ),
inference(resolution,[status(thm)],[f66,f56]) ).
fof(f135,plain,
! [X0,X1,X2] :
( ~ p17(f15(f16(X2)),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p19(X2)
| p3(f4(f6(X2)),X1)
| ~ p7(f15(f16(X0)),f15(f16(X2)))
| ~ p7(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f9(f10(f13(f11(f14(f12(c20)))),X1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))
| ~ p19(X0) ),
inference(resolution,[status(thm)],[f86,f67]) ).
fof(f139,plain,
! [X0,X1,X2,X3] :
( ~ p7(f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X3))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))),f8(f13(f11(f14(f12(c20)))),f9(f10(f13(f11(f14(f12(c20)))),X1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20))))))))))))
| ~ p7(f15(f16(X3)),f15(f16(X2)))
| ~ p19(X3)
| ~ p19(X2)
| p3(f4(f6(X2)),X1)
| ~ p7(f15(f16(X0)),f15(f16(X2)))
| ~ p7(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f9(f10(f13(f11(f14(f12(c20)))),X1),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))
| ~ p19(X0) ),
inference(resolution,[status(thm)],[f135,f106]) ).
fof(f173,plain,
! [X0,X1,X2] :
( ~ p7(f15(f16(X1)),f15(f16(X2)))
| ~ p19(X1)
| ~ p19(X2)
| p3(f4(f6(X2)),f4(f6(X1)))
| ~ p7(f15(f16(X0)),f15(f16(X2)))
| ~ p7(f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X0))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))),f9(f10(f13(f11(f14(f12(c20)))),f4(f6(X1))),f10(f13(f11(f14(f12(c20)))),f11(f12(f12(f12(f12(f12(f12(f12(c20)))))))))))
| ~ p19(X0) ),
inference(resolution,[status(thm)],[f139,f33]) ).
fof(f263,plain,
! [X0,X1] :
( ~ p7(f15(f16(X0)),f15(f16(X1)))
| ~ p19(X0)
| ~ p19(X1)
| p3(f4(f6(X1)),f4(f6(X0)))
| ~ p7(f15(f16(X0)),f15(f16(X1)))
| ~ p19(X0) ),
inference(resolution,[status(thm)],[f173,f33]) ).
fof(f268,plain,
! [X0,X1] :
( ~ p19(X1)
| p3(f4(f6(X1)),f4(f6(X0)))
| ~ p7(f15(f16(X0)),f15(f16(X1)))
| ~ p19(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f263]) ).
fof(f270,plain,
! [X0,X1] :
( ~ p7(f16(X0),f16(X1))
| ~ p19(X1)
| p3(f4(f6(X1)),f4(f6(X0)))
| ~ p19(X0) ),
inference(resolution,[status(thm)],[f268,f46]) ).
fof(f274,plain,
! [X0] :
( ~ p7(f16(X0),f16(c22))
| p3(f4(f6(c22)),f4(f6(X0)))
| ~ p19(X0) ),
inference(resolution,[status(thm)],[f270,f31]) ).
fof(f278,plain,
( ~ p7(f16(c21),f16(c22))
| p3(f4(f6(c22)),f4(f6(c21))) ),
inference(resolution,[status(thm)],[f274,f30]) ).
fof(f287,definition,
( sQ8_spl
<=> p3(f4(f6(c22)),f4(f6(c21))) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f288,plain,
( ~ sQ8_spl
| p3(f4(f6(c22)),f4(f6(c21))) ),
inference(component_clause,[status(thm)],[f287]) ).
fof(f290,definition,
( sQ9_spl
<=> p7(f16(c21),f16(c22)) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f292,plain,
( sQ9_spl
| ~ p7(f16(c21),f16(c22)) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,plain,
( ~ sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f278,f287,f290]) ).
fof(f294,plain,
( ~ sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f288,f85]) ).
fof(f295,plain,
~ sQ8_spl,
inference(contradiction_clause,[status(thm)],[f294]) ).
fof(f296,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f292,f36]) ).
fof(f297,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f296]) ).
fof(f298,plain,
$false,
inference(sat_refutation,[status(thm)],[f293,f295,f297]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN600-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.40 % Computer : n005.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.04/0.40 % CPULimit : 300
% 0.04/0.40 % WCLimit : 300
% 0.04/0.40 % DateTime : Mon Sep 21 11:09:48 UTC 2026
% 0.04/0.40 % CPUTime :
% 0.04/0.42 % Drodi V4.1.1
% 0.04/0.61 % Refutation found
% 0.04/0.61 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.04/0.61 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.40/0.64 % Elapsed time: 0.221306 seconds
% 1.40/0.64 % CPU time: 1.474239 seconds
% 1.40/0.64 % Total memory used: 78.352 MB
% 1.40/0.64 % Net memory used: 75.889 MB
%------------------------------------------------------------------------------