%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN631-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.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 0.08s 0.34s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 13
% Syntax : Number of formulae : 45 ( 14 unt; 0 def)
% Number of atoms : 103 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 131 ( 73 ~; 58 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-3 aty)
% Number of variables : 101 ( 101 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0] : p10(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X37] : p5(X37,X37),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
! [X5] : p12(X5,X5),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,negated_conjecture,
! [X44,X45] : p5(f16(f18(X44,X45)),X45),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
p23(f13(c27,f14(c28)),f11(f15(c24))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
~ p23(f13(f16(c27),f14(c28)),f11(c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [X42,X43] :
( ~ p5(X42,X43)
| p5(f16(X42),f16(X43)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,negated_conjecture,
! [X38,X39,X37] :
( ~ p5(X37,X39)
| ~ p5(X37,X38)
| p5(X38,X39) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [X6,X7,X5] :
( ~ p12(X5,X7)
| ~ p12(X5,X6)
| p12(X6,X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f29,negated_conjecture,
! [X25,X26,X28,X27] :
( ~ p10(X27,X26)
| ~ p23(X28,X27)
| ~ p12(X28,X25)
| p23(X25,X26) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,negated_conjecture,
! [X8,X9,X10,X11] :
( ~ p5(X9,X11)
| ~ p5(X8,X10)
| p12(f13(X8,X9),f13(X10,X11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [X30,X29,X31] :
( ~ p23(f13(X30,X31),f11(f15(X29)))
| p5(X30,f18(f20(c29),f19(X29,X30,X31))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,negated_conjecture,
! [X29,X30,X31] :
( ~ p23(f13(X30,X31),f11(f15(X29)))
| p23(f13(f19(X29,X30,X31),X31),f11(X29)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,plain,
! [X0] : p10(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f43,plain,
! [X0] : p5(X0,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f46,plain,
! [X0] : p12(X0,X0),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f49,plain,
! [X0,X1] : p5(f16(f18(X0,X1)),X1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f50,plain,
p23(f13(c27,f14(c28)),f11(f15(c24))),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f51,plain,
~ p23(f13(f16(c27),f14(c28)),f11(c24)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f56,plain,
! [X0,X1] :
( ~ p5(X0,X1)
| p5(f16(X0),f16(X1)) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f67,plain,
! [X39,X37] :
( ~ p5(X37,X39)
| ! [X38] :
( ~ p5(X37,X38)
| p5(X38,X39) ) ),
inference(miniscoping,[status(thm)],[f25]) ).
fof(f68,plain,
! [X0,X1,X2] :
( ~ p5(X2,X1)
| ~ p5(X2,X0)
| p5(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f73,plain,
! [X7,X5] :
( ~ p12(X5,X7)
| ! [X6] :
( ~ p12(X5,X6)
| p12(X6,X7) ) ),
inference(miniscoping,[status(thm)],[f28]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ p12(X2,X1)
| ~ p12(X2,X0)
| p12(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f75,plain,
! [X26,X27] :
( ~ p10(X27,X26)
| ! [X28] :
( ~ p23(X28,X27)
| ! [X25] :
( ~ p12(X28,X25)
| p23(X25,X26) ) ) ),
inference(miniscoping,[status(thm)],[f29]) ).
fof(f76,plain,
! [X0,X1,X2,X3] :
( ~ p10(X3,X1)
| ~ p23(X2,X3)
| ~ p12(X2,X0)
| p23(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f75]) ).
fof(f81,plain,
! [X9,X11] :
( ~ p5(X9,X11)
| ! [X8,X10] :
( ~ p5(X8,X10)
| p12(f13(X8,X9),f13(X10,X11)) ) ),
inference(miniscoping,[status(thm)],[f32]) ).
fof(f82,plain,
! [X0,X1,X2,X3] :
( ~ p5(X1,X3)
| ~ p5(X0,X2)
| p12(f13(X0,X1),f13(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ~ p23(f13(X0,X2),f11(f15(X1)))
| p5(X0,f18(f20(c29),f19(X1,X0,X2))) ),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ~ p23(f13(X1,X2),f11(f15(X0)))
| p23(f13(f19(X0,X1,X2),X2),f11(X0)) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f93,plain,
! [X0,X1,X2,X3,X4] :
( ~ p10(f11(X2),X4)
| ~ p12(f13(f19(X2,X0,X1),X1),X3)
| p23(X3,X4)
| ~ p23(f13(X0,X1),f11(f15(X2))) ),
inference(resolution,[status(thm)],[f86,f76]) ).
fof(f97,plain,
! [X0,X1,X2] :
( ~ p10(f11(X2),f11(c24))
| ~ p12(f13(f19(X2,X0,X1),X1),f13(f16(c27),f14(c28)))
| ~ p23(f13(X0,X1),f11(f15(X2))) ),
inference(resolution,[status(thm)],[f93,f51]) ).
fof(f136,plain,
! [X0,X1,X2,X3] :
( ~ p12(X3,f13(f16(c27),f14(c28)))
| ~ p12(X3,f13(f19(X2,X0,X1),X1))
| ~ p10(f11(X2),f11(c24))
| ~ p23(f13(X0,X1),f11(f15(X2))) ),
inference(resolution,[status(thm)],[f97,f74]) ).
fof(f203,plain,
! [X0,X1,X2] :
( ~ p12(X2,f13(f16(c27),f14(c28)))
| ~ p12(X2,f13(f19(c24,X0,X1),X1))
| ~ p23(f13(X0,X1),f11(f15(c24))) ),
inference(resolution,[status(thm)],[f136,f39]) ).
fof(f237,plain,
! [X0,X1] :
( ~ p12(f13(f16(c27),f14(c28)),f13(f19(c24,X0,X1),X1))
| ~ p23(f13(X0,X1),f11(f15(c24))) ),
inference(resolution,[status(thm)],[f203,f46]) ).
fof(f238,plain,
! [X0,X1] :
( ~ p5(f14(c28),X1)
| ~ p5(f16(c27),f19(c24,X0,X1))
| ~ p23(f13(X0,X1),f11(f15(c24))) ),
inference(resolution,[status(thm)],[f237,f82]) ).
fof(f240,plain,
! [X0,X1,X2] :
( ~ p5(X2,f19(c24,X0,X1))
| ~ p5(X2,f16(c27))
| ~ p5(f14(c28),X1)
| ~ p23(f13(X0,X1),f11(f15(c24))) ),
inference(resolution,[status(thm)],[f238,f68]) ).
fof(f244,plain,
! [X0,X1] :
( ~ p5(X1,f19(c24,X0,f14(c28)))
| ~ p5(X1,f16(c27))
| ~ p23(f13(X0,f14(c28)),f11(f15(c24))) ),
inference(resolution,[status(thm)],[f240,f43]) ).
fof(f246,plain,
! [X0,X1] :
( ~ p5(X1,c27)
| ~ p5(f16(X1),f19(c24,X0,f14(c28)))
| ~ p23(f13(X0,f14(c28)),f11(f15(c24))) ),
inference(resolution,[status(thm)],[f244,f56]) ).
fof(f251,plain,
! [X0,X1] :
( ~ p5(f18(X1,f19(c24,X0,f14(c28))),c27)
| ~ p23(f13(X0,f14(c28)),f11(f15(c24))) ),
inference(resolution,[status(thm)],[f246,f49]) ).
fof(f253,plain,
! [X0,X1,X2] :
( ~ p5(X1,c27)
| ~ p5(X1,f18(X2,f19(c24,X0,f14(c28))))
| ~ p23(f13(X0,f14(c28)),f11(f15(c24))) ),
inference(resolution,[status(thm)],[f251,f68]) ).
fof(f271,plain,
! [X0,X1] :
( ~ p5(c27,f18(X1,f19(c24,X0,f14(c28))))
| ~ p23(f13(X0,f14(c28)),f11(f15(c24))) ),
inference(resolution,[status(thm)],[f253,f43]) ).
fof(f272,plain,
( ~ p23(f13(c27,f14(c28)),f11(f15(c24)))
| ~ p23(f13(c27,f14(c28)),f11(f15(c24))) ),
inference(resolution,[status(thm)],[f271,f85]) ).
fof(f274,plain,
~ p23(f13(c27,f14(c28)),f11(f15(c24))),
inference(duplicate_literals_removal,[status(thm)],[f272]) ).
fof(f275,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f274,f50]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN631-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.04/0.30 % Computer : n012.cluster.edu
% 0.04/0.30 % Model : x86_64 x86_64
% 0.04/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.30 % Memory : 8046.5625MB
% 0.04/0.30 % OS : Linux 6.8.0-71-generic
% 0.04/0.30 % CPULimit : 300
% 0.04/0.30 % WCLimit : 300
% 0.04/0.30 % DateTime : Mon Sep 21 11:10:36 UTC 2026
% 0.04/0.30 % CPUTime :
% 0.04/0.31 % Drodi V4.1.1
% 0.08/0.34 % Refutation found
% 0.08/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.35 % Elapsed time: 0.051957 seconds
% 0.08/0.35 % CPU time: 0.171173 seconds
% 0.08/0.35 % Total memory used: 60.484 MB
% 0.08/0.35 % Net memory used: 59.621 MB
%------------------------------------------------------------------------------