%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN570-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 03:16:49 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 32 ( 17 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 58 ( 30 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 47 ( 47 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X21] : p7(X21,X21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X7] : p2(X7,X7),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p9(c15,f8(c13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
p2(c12,f5(c15)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
! [X17] : p3(f4(f5(X17)),X17),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,negated_conjecture,
~ p9(f4(c12),f8(c13)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,negated_conjecture,
! [X15,X16] :
( ~ p2(X15,X16)
| p3(f4(X15),f4(X16)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X13,X14,X12] :
( ~ p3(X12,X14)
| ~ p3(X12,X13)
| p3(X13,X14) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
! [X8,X9,X7] :
( ~ p2(X7,X9)
| ~ p2(X7,X8)
| p2(X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
! [X26,X27,X29,X28] :
( ~ p3(X28,X26)
| ~ p9(X28,X29)
| ~ p7(X29,X27)
| p9(X26,X27) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,plain,
! [X0] : p7(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f25,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f27,plain,
p9(c15,f8(c13)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f28,plain,
p2(c12,f5(c15)),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f29,plain,
! [X0] : p3(f4(f5(X0)),X0),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f30,plain,
~ p9(f4(c12),f8(c13)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f33,plain,
! [X0,X1] :
( ~ p2(X0,X1)
| p3(f4(X0),f4(X1)) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f40,plain,
! [X14,X12] :
( ~ p3(X12,X14)
| ! [X13] :
( ~ p3(X12,X13)
| p3(X13,X14) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f41,plain,
! [X0,X1,X2] :
( ~ p3(X2,X1)
| ~ p3(X2,X0)
| p3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f40]) ).
fof(f42,plain,
! [X9,X7] :
( ~ p2(X7,X9)
| ! [X8] :
( ~ p2(X7,X8)
| p2(X8,X9) ) ),
inference(miniscoping,[status(thm)],[f18]) ).
fof(f43,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f44,plain,
! [X26,X28] :
( ~ p3(X28,X26)
| ! [X29] :
( ~ p9(X28,X29)
| ! [X27] :
( ~ p7(X29,X27)
| p9(X26,X27) ) ) ),
inference(miniscoping,[status(thm)],[f19]) ).
fof(f45,plain,
! [X0,X1,X2,X3] :
( ~ p3(X3,X0)
| ~ p9(X3,X2)
| ~ p7(X2,X1)
| p9(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f56,plain,
! [X0,X1] :
( ~ p3(f4(f5(X0)),X1)
| p3(X0,X1) ),
inference(resolution,[status(thm)],[f41,f29]) ).
fof(f58,plain,
! [X0] :
( ~ p2(c12,X0)
| p2(f5(c15),X0) ),
inference(resolution,[status(thm)],[f43,f28]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ p3(X2,X0)
| ~ p9(X2,X1)
| p9(X0,X1) ),
inference(resolution,[status(thm)],[f45,f22]) ).
fof(f72,plain,
p2(f5(c15),c12),
inference(resolution,[status(thm)],[f58,f25]) ).
fof(f74,plain,
p3(f4(f5(c15)),f4(c12)),
inference(resolution,[status(thm)],[f72,f33]) ).
fof(f75,plain,
! [X0] :
( ~ p3(c15,X0)
| p9(X0,f8(c13)) ),
inference(resolution,[status(thm)],[f62,f27]) ).
fof(f95,plain,
p3(c15,f4(c12)),
inference(resolution,[status(thm)],[f74,f56]) ).
fof(f106,plain,
p9(f4(c12),f8(c13)),
inference(resolution,[status(thm)],[f75,f95]) ).
fof(f110,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f106,f30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN570-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n002.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 11:11:33 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.054585 seconds
% 0.14/0.42 % CPU time: 0.151753 seconds
% 0.14/0.42 % Total memory used: 56.021 MB
% 0.14/0.42 % Net memory used: 55.615 MB
%------------------------------------------------------------------------------