%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN571-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n010.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 0.08s 0.39s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 11 unt; 0 def)
% Number of atoms : 52 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 55 ( 29 ~; 26 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 2 con; 0-2 aty)
% Number of variables : 56 ( 56 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X11] : p2(X11,X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X10] : p11(f5(X10),c14),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X39] : ~ p11(X39,f3(X39,f5(f6(f7(c12))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
! [X9] :
( ~ p11(f5(f10(X9)),X9)
| p11(c14,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,negated_conjecture,
! [X12,X13,X11] :
( ~ p2(X11,X13)
| ~ p2(X11,X12)
| p2(X12,X13) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [X24,X25] : p2(f9(f5(X24),f5(X25)),f5(f8(X24,X25))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
! [X6,X7,X8] :
( ~ p11(f9(X6,X8),X7)
| p11(X6,f3(X7,X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
! [X0,X1,X2,X3] :
( ~ p11(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p11(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f23,plain,
! [X0] : p11(f5(X0),c14),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f26,plain,
! [X0] : ~ p11(X0,f3(X0,f5(f6(f7(c12))))),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f27,plain,
! [X0] :
( ~ p11(f5(f10(X0)),X0)
| p11(c14,X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f32,plain,
! [X13,X11] :
( ~ p2(X11,X13)
| ! [X12] :
( ~ p2(X11,X12)
| p2(X12,X13) ) ),
inference(miniscoping,[status(thm)],[f12]) ).
fof(f33,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f36,plain,
! [X0,X1] : p2(f9(f5(X0),f5(X1)),f5(f8(X0,X1))),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f37,plain,
! [X0,X1,X2] :
( ~ p11(f9(X0,X2),X1)
| p11(X0,f3(X1,X2)) ),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f39,plain,
! [X2,X3] :
( ~ p11(X2,X3)
| ! [X1] :
( ~ p2(X3,X1)
| ! [X0] :
( ~ p2(X2,X0)
| p11(X0,X1) ) ) ),
inference(miniscoping,[status(thm)],[f17]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( ~ p11(X2,X3)
| ~ p2(X3,X1)
| ~ p2(X2,X0)
| p11(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f39]) ).
fof(f47,plain,
~ p11(f5(f10(f3(c14,f5(f6(f7(c12)))))),f3(c14,f5(f6(f7(c12))))),
inference(resolution,[status(thm)],[f27,f26]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ~ p2(c14,X1)
| ~ p2(f5(X2),X0)
| p11(X0,X1) ),
inference(resolution,[status(thm)],[f40,f23]) ).
fof(f52,plain,
! [X0,X1] :
( ~ p2(f5(X1),X0)
| p11(X0,c14) ),
inference(resolution,[status(thm)],[f50,f22]) ).
fof(f53,plain,
! [X0,X1,X2] :
( p11(X1,f3(c14,X2))
| ~ p2(f5(X0),f9(X1,X2)) ),
inference(resolution,[status(thm)],[f52,f37]) ).
fof(f55,plain,
! [X0,X1,X2,X3] :
( ~ p2(X2,f9(X0,X1))
| ~ p2(X2,f5(X3))
| p11(X0,f3(c14,X1)) ),
inference(resolution,[status(thm)],[f53,f33]) ).
fof(f69,plain,
! [X0,X1,X2] :
( ~ p2(f9(X0,X1),f5(X2))
| p11(X0,f3(c14,X1)) ),
inference(resolution,[status(thm)],[f55,f22]) ).
fof(f70,plain,
! [X0,X1] : p11(f5(X0),f3(c14,f5(X1))),
inference(resolution,[status(thm)],[f69,f36]) ).
fof(f95,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f47,f70]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN571-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n010.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 11:09:10 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 0.08/0.39 % Refutation found
% 0.08/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.41 % Elapsed time: 0.038472 seconds
% 0.08/0.41 % CPU time: 0.113518 seconds
% 0.08/0.41 % Total memory used: 10.640 MB
% 0.08/0.41 % Net memory used: 10.420 MB
%------------------------------------------------------------------------------