%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN632-1 : 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 03:16:58 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.39s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 40 ( 15 unt; 0 def)
% Number of atoms : 78 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 79 ( 41 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 85 ( 85 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,negated_conjecture,
! [X46] : p3(X46,X46),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X27] : p2(X27,X27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X47,X48,X46] :
( ~ p3(X46,X48)
| ~ p3(X46,X47)
| p3(X47,X48) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X34,X35,X37,X36] :
( ~ p21(X36,X37)
| ~ p4(X36,X34)
| ~ p3(X37,X35)
| p21(X34,X35) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,negated_conjecture,
p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [X56,X57,X58,X59] :
( ~ p3(X57,X59)
| ~ p2(X56,X58)
| p4(f5(X56,X57),f5(X58,X59)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f33,negated_conjecture,
! [X43,X44,X42] :
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),X42),X43),X44)
| p3(X43,X44) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [X42,X43,X44] :
( ~ p3(X43,X44)
| p21(f5(f7(f10(c24,f12(c25,c26)),X42),X43),X44) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
! [X77] :
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),X77),c27)
| ~ p21(f5(c22,c23),X77) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,negated_conjecture,
! [X38,X39,X40,X41] :
( ~ p21(f5(f7(f10(c24,f12(c28,X39)),X38),X40),X41)
| p21(f5(X38,f14(f16(f18(f20(c29,X39),X40),X38),X41)),X41) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f38,negated_conjecture,
! [X39,X38,X40,X41] :
( ~ p21(f5(f7(f10(c24,f12(c28,X39)),X38),X40),X41)
| p21(f5(f7(f10(c24,X39),X38),X40),f14(f16(f18(f20(c29,X39),X40),X38),X41)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f44,plain,
! [X0] : p3(X0,X0),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f45,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f60,plain,
! [X48,X46] :
( ~ p3(X46,X48)
| ! [X47] :
( ~ p3(X46,X47)
| p3(X47,X48) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f61,plain,
! [X0,X1,X2] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f72,plain,
! [X37,X36] :
( ~ p21(X36,X37)
| ! [X34] :
( ~ p4(X36,X34)
| ! [X35] :
( ~ p3(X37,X35)
| p21(X34,X35) ) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f73,plain,
! [X0,X1,X2,X3] :
( ~ p21(X3,X2)
| ~ p4(X3,X0)
| ~ p3(X2,X1)
| p21(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f72]) ).
fof(f74,plain,
p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f87,plain,
! [X57,X59] :
( ~ p3(X57,X59)
| ! [X56,X58] :
( ~ p2(X56,X58)
| p4(f5(X56,X57),f5(X58,X59)) ) ),
inference(miniscoping,[status(thm)],[f31]) ).
fof(f88,plain,
! [X0,X1,X2,X3] :
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f91,plain,
! [X43,X44] :
( ! [X42] : ~ p21(f5(f7(f10(c24,f12(c25,c26)),X42),X43),X44)
| p3(X43,X44) ),
inference(miniscoping,[status(thm)],[f33]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),X2),X0),X1)
| p3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f91]) ).
fof(f93,plain,
! [X43,X44] :
( ~ p3(X43,X44)
| ! [X42] : p21(f5(f7(f10(c24,f12(c25,c26)),X42),X43),X44) ),
inference(miniscoping,[status(thm)],[f34]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ~ p3(X1,X2)
| p21(f5(f7(f10(c24,f12(c25,c26)),X0),X1),X2) ),
inference(cnf_transformation,[status(thm)],[f93]) ).
fof(f95,plain,
! [X0] :
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),X0),c27)
| ~ p21(f5(c22,c23),X0) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f96,plain,
! [X0,X1,X2,X3] :
( ~ p21(f5(f7(f10(c24,f12(c28,X1)),X0),X2),X3)
| p21(f5(X0,f14(f16(f18(f20(c29,X1),X2),X0),X3)),X3) ),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f99,plain,
! [X0,X1,X2,X3] :
( ~ p21(f5(f7(f10(c24,f12(c28,X0)),X1),X2),X3)
| p21(f5(f7(f10(c24,X0),X1),X2),f14(f16(f18(f20(c29,X0),X2),X1),X3)) ),
inference(cnf_transformation,[status(thm)],[f38]) ).
fof(f111,plain,
! [X0,X1,X2] :
( ~ p21(X2,X1)
| ~ p4(X2,X0)
| p21(X0,X1) ),
inference(resolution,[status(thm)],[f73,f44]) ).
fof(f125,plain,
! [X0,X1,X2] :
( ~ p3(X1,X2)
| p4(f5(X0,X1),f5(X0,X2)) ),
inference(resolution,[status(thm)],[f88,f45]) ).
fof(f129,plain,
! [X0,X1] : p21(f5(f7(f10(c24,f12(c25,c26)),X0),X1),X1),
inference(resolution,[status(thm)],[f94,f44]) ).
fof(f130,plain,
~ p21(f5(c22,c23),c27),
inference(resolution,[status(thm)],[f129,f95]) ).
fof(f132,plain,
p21(f5(c22,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),c27),
inference(resolution,[status(thm)],[f96,f74]) ).
fof(f136,plain,
p21(f5(f7(f10(c24,f12(c25,c26)),c22),c23),f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),
inference(resolution,[status(thm)],[f99,f74]) ).
fof(f137,plain,
p3(c23,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),
inference(resolution,[status(thm)],[f136,f92]) ).
fof(f145,plain,
! [X0] :
( ~ p3(c23,X0)
| p3(f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27),X0) ),
inference(resolution,[status(thm)],[f137,f61]) ).
fof(f147,plain,
p3(f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27),c23),
inference(resolution,[status(thm)],[f145,f44]) ).
fof(f149,plain,
! [X0] : p4(f5(X0,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),f5(X0,c23)),
inference(resolution,[status(thm)],[f147,f125]) ).
fof(f169,plain,
! [X0,X1] :
( ~ p21(f5(X0,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),X1)
| p21(f5(X0,c23),X1) ),
inference(resolution,[status(thm)],[f149,f111]) ).
fof(f218,plain,
p21(f5(c22,c23),c27),
inference(resolution,[status(thm)],[f169,f132]) ).
fof(f222,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f218,f130]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN632-1 : 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 : n002.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 11:13:32 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.15/0.39 % Refutation found
% 0.15/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.41 % Elapsed time: 0.036081 seconds
% 0.15/0.41 % CPU time: 0.115324 seconds
% 0.15/0.41 % Total memory used: 18.765 MB
% 0.15/0.41 % Net memory used: 18.701 MB
%------------------------------------------------------------------------------