%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN652-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 03:17:00 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.40s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 19 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 9 con; 0-2 aty)
% Number of variables : 45 ( 45 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,negated_conjecture,
! [X53] : p4(X53,X53),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [X6] : p14(X6,X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
p4(c34,f5(c35,c32)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
p27(f8(f10(c28,f13(c29,c30)),c32),c33),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,negated_conjecture,
! [X54,X55,X53] :
( ~ p4(X53,X55)
| ~ p4(X53,X54)
| p4(X54,X55) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,negated_conjecture,
! [X60,X61] : p4(f15(f17(c36,X60),f5(c35,X61)),f5(X60,X61)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,negated_conjecture,
! [X56,X57,X58,X59] :
( ~ p4(X57,X59)
| ~ p14(X56,X58)
| p4(f15(X56,X57),f15(X58,X59)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,negated_conjecture,
! [X73,X74] :
( ~ p27(f8(f10(c28,f13(c29,c30)),X73),X74)
| p4(f5(c31,X73),f5(c31,X74)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f52,plain,
! [X0] : p4(X0,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f61,plain,
! [X0] : p14(X0,X0),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f63,plain,
p4(c34,f5(c35,c32)),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f64,plain,
p27(f8(f10(c28,f13(c29,c30)),c32),c33),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f65,plain,
~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f74,plain,
! [X55,X53] :
( ~ p4(X53,X55)
| ! [X54] :
( ~ p4(X53,X54)
| p4(X54,X55) ) ),
inference(miniscoping,[status(thm)],[f23]) ).
fof(f75,plain,
! [X0,X1,X2] :
( ~ p4(X2,X1)
| ~ p4(X2,X0)
| p4(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f74]) ).
fof(f96,plain,
! [X0,X1] : p4(f15(f17(c36,X0),f5(c35,X1)),f5(X0,X1)),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f109,plain,
! [X57,X59] :
( ~ p4(X57,X59)
| ! [X56,X58] :
( ~ p14(X56,X58)
| p4(f15(X56,X57),f15(X58,X59)) ) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f110,plain,
! [X0,X1,X2,X3] :
( ~ p4(X1,X3)
| ~ p14(X0,X2)
| p4(f15(X0,X1),f15(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f119,plain,
! [X0,X1] :
( ~ p27(f8(f10(c28,f13(c29,c30)),X0),X1)
| p4(f5(c31,X0),f5(c31,X1)) ),
inference(cnf_transformation,[status(thm)],[f46]) ).
fof(f125,plain,
! [X0] :
( ~ p4(c34,X0)
| p4(f5(c35,c32),X0) ),
inference(resolution,[status(thm)],[f75,f63]) ).
fof(f138,plain,
p4(f5(c35,c32),c34),
inference(resolution,[status(thm)],[f125,f52]) ).
fof(f155,plain,
! [X0,X1,X2] :
( ~ p4(X1,X2)
| p4(f15(X0,X1),f15(X0,X2)) ),
inference(resolution,[status(thm)],[f110,f61]) ).
fof(f157,plain,
! [X0] : p4(f15(X0,f5(c35,c32)),f15(X0,c34)),
inference(resolution,[status(thm)],[f155,f138]) ).
fof(f163,plain,
! [X0,X1] :
( ~ p4(f15(X0,f5(c35,c32)),X1)
| p4(f15(X0,c34),X1) ),
inference(resolution,[status(thm)],[f157,f75]) ).
fof(f172,plain,
! [X0] : p4(f15(f17(c36,X0),c34),f5(X0,c32)),
inference(resolution,[status(thm)],[f163,f96]) ).
fof(f176,plain,
! [X0,X1] :
( ~ p4(f15(f17(c36,X0),c34),X1)
| p4(f5(X0,c32),X1) ),
inference(resolution,[status(thm)],[f172,f75]) ).
fof(f177,plain,
p4(f5(c31,c32),f5(c31,c33)),
inference(resolution,[status(thm)],[f119,f64]) ).
fof(f179,plain,
! [X0] :
( ~ p4(f5(c31,c32),X0)
| p4(f5(c31,c33),X0) ),
inference(resolution,[status(thm)],[f177,f75]) ).
fof(f193,plain,
! [X0] : p4(f5(X0,c32),f15(f17(c36,X0),c34)),
inference(resolution,[status(thm)],[f176,f52]) ).
fof(f198,plain,
p4(f5(c31,c33),f15(f17(c36,c31),c34)),
inference(resolution,[status(thm)],[f193,f179]) ).
fof(f201,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f198,f65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN652-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.36 % Computer : n026.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8046.5625MB
% 0.12/0.36 % OS : Linux 6.8.0-71-generic
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Mon Sep 21 11:14:09 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.37 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.43 % Elapsed time: 0.053838 seconds
% 0.12/0.43 % CPU time: 0.167713 seconds
% 0.12/0.43 % Total memory used: 57.228 MB
% 0.12/0.43 % Net memory used: 57.095 MB
%------------------------------------------------------------------------------