%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN712-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 03:17:08 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 14 unt; 0 def)
% Number of atoms : 65 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 64 ( 33 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 34 ( 34 usr; 12 con; 0-2 aty)
% Number of variables : 91 ( 91 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f20,negated_conjecture,
! [X92] : p32(X92,X92),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,negated_conjecture,
! [X44] : p2(X44,X44),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f67,negated_conjecture,
~ p62(f5(c64,f8(f11(f13(c65,c66),c67),c68)),c69),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f69,negated_conjecture,
! [X199,X200,X202,X201] :
( ~ p32(X201,X200)
| ~ p62(X202,X201)
| ~ p4(X202,X199)
| p62(X199,X200) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f82,negated_conjecture,
! [X123,X124,X125,X126] :
( ~ p3(X124,X126)
| ~ p2(X123,X125)
| p4(f5(X123,X124),f5(X125,X126)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f97,negated_conjecture,
! [X203,X204,X205,X206] :
( ~ p62(f5(c64,f8(f11(f13(c65,X203),X205),X206)),X204)
| p62(X203,X204) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f98,negated_conjecture,
! [X203,X205,X206,X204] :
( ~ p62(X203,X204)
| p62(f5(c64,f8(f11(f13(c65,X203),X205),X206)),X204) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f99,negated_conjecture,
! [X24,X29,X25,X26,X27,X28] :
( ~ p62(f23(f25(f27(f29(f31(c74,X24),X25),X26),X27),X28),X29)
| p62(X24,X29) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f100,negated_conjecture,
p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f104,negated_conjecture,
! [X24,X25,X26,X27,X28] : p3(f16(f19(f21(c70,f8(f11(f13(c65,X24),X25),X26)),X27),X28),f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X24),X25),X26),X27),X28)),f43(f45(f47(f49(f51(c75,X24),X25),X26),X27),X28)),f53(f55(f57(f59(f61(c76,X24),X25),X26),X27),X28))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f124,plain,
! [X0] : p32(X0,X0),
inference(cnf_transformation,[status(thm)],[f20]) ).
fof(f132,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f204,plain,
~ p62(f5(c64,f8(f11(f13(c65,c66),c67),c68)),c69),
inference(cnf_transformation,[status(thm)],[f67]) ).
fof(f207,plain,
! [X200,X201] :
( ~ p32(X201,X200)
| ! [X202] :
( ~ p62(X202,X201)
| ! [X199] :
( ~ p4(X202,X199)
| p62(X199,X200) ) ) ),
inference(miniscoping,[status(thm)],[f69]) ).
fof(f208,plain,
! [X0,X1,X2,X3] :
( ~ p32(X3,X1)
| ~ p62(X2,X3)
| ~ p4(X2,X0)
| p62(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f207]) ).
fof(f233,plain,
! [X124,X126] :
( ~ p3(X124,X126)
| ! [X123,X125] :
( ~ p2(X123,X125)
| p4(f5(X123,X124),f5(X125,X126)) ) ),
inference(miniscoping,[status(thm)],[f82]) ).
fof(f234,plain,
! [X0,X1,X2,X3] :
( ~ p3(X1,X3)
| ~ p2(X0,X2)
| p4(f5(X0,X1),f5(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f233]) ).
fof(f263,plain,
! [X203,X204] :
( ! [X205,X206] : ~ p62(f5(c64,f8(f11(f13(c65,X203),X205),X206)),X204)
| p62(X203,X204) ),
inference(miniscoping,[status(thm)],[f97]) ).
fof(f264,plain,
! [X0,X1,X2,X3] :
( ~ p62(f5(c64,f8(f11(f13(c65,X0),X2),X3)),X1)
| p62(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f263]) ).
fof(f265,plain,
! [X203,X204] :
( ~ p62(X203,X204)
| ! [X205,X206] : p62(f5(c64,f8(f11(f13(c65,X203),X205),X206)),X204) ),
inference(miniscoping,[status(thm)],[f98]) ).
fof(f266,plain,
! [X0,X1,X2,X3] :
( ~ p62(X0,X3)
| p62(f5(c64,f8(f11(f13(c65,X0),X1),X2)),X3) ),
inference(cnf_transformation,[status(thm)],[f265]) ).
fof(f267,plain,
! [X24,X29] :
( ! [X25,X26,X27,X28] : ~ p62(f23(f25(f27(f29(f31(c74,X24),X25),X26),X27),X28),X29)
| p62(X24,X29) ),
inference(miniscoping,[status(thm)],[f99]) ).
fof(f268,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ p62(f23(f25(f27(f29(f31(c74,X0),X2),X3),X4),X5),X1)
| p62(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f267]) ).
fof(f269,plain,
p62(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),c69),
inference(cnf_transformation,[status(thm)],[f100]) ).
fof(f274,plain,
! [X0,X1,X2,X3,X4] : p3(f16(f19(f21(c70,f8(f11(f13(c65,X0),X1),X2)),X3),X4),f8(f11(f13(c65,f23(f25(f27(f29(f31(c74,X0),X1),X2),X3),X4)),f43(f45(f47(f49(f51(c75,X0),X1),X2),X3),X4)),f53(f55(f57(f59(f61(c76,X0),X1),X2),X3),X4))),
inference(cnf_transformation,[status(thm)],[f104]) ).
fof(f276,plain,
! [X0,X1] :
( ~ p32(c69,X1)
| ~ p4(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),X0)
| p62(X0,X1) ),
inference(resolution,[status(thm)],[f269,f208]) ).
fof(f278,plain,
! [X0] :
( ~ p4(f5(c64,f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72)),X0)
| p62(X0,c69) ),
inference(resolution,[status(thm)],[f276,f124]) ).
fof(f279,plain,
! [X0,X1] :
( ~ p3(f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72),X1)
| ~ p2(c64,X0)
| p62(f5(X0,X1),c69) ),
inference(resolution,[status(thm)],[f278,f234]) ).
fof(f283,plain,
! [X0] :
( ~ p3(f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72),X0)
| p62(f5(c64,X0),c69) ),
inference(resolution,[status(thm)],[f279,f132]) ).
fof(f288,plain,
! [X0,X1,X2] :
( p62(X0,c69)
| ~ p3(f16(f19(f21(c70,f8(f11(f13(c65,c66),c67),c68)),c71),c72),f8(f11(f13(c65,X0),X1),X2)) ),
inference(resolution,[status(thm)],[f283,f264]) ).
fof(f302,plain,
p62(f23(f25(f27(f29(f31(c74,c66),c67),c68),c71),c72),c69),
inference(resolution,[status(thm)],[f288,f274]) ).
fof(f304,plain,
p62(c66,c69),
inference(resolution,[status(thm)],[f302,f268]) ).
fof(f307,plain,
! [X0,X1] : p62(f5(c64,f8(f11(f13(c65,c66),X0),X1)),c69),
inference(resolution,[status(thm)],[f304,f266]) ).
fof(f310,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f204,f307]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN712-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n004.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 11:12:37 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.44 % Elapsed time: 0.060451 seconds
% 0.09/0.44 % CPU time: 0.180573 seconds
% 0.09/0.44 % Total memory used: 61.084 MB
% 0.09/0.44 % Net memory used: 60.985 MB
%------------------------------------------------------------------------------