%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN602-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n006.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 03:16:54 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.41s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 28 ( 12 unt; 0 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 75 ( 43 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,negated_conjecture,
! [X18] : p2(X18,X18),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
p15(c22,c21),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
p2(f3(c18),c19),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
p2(c22,f9(c20,c23)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
! [X19,X20,X18] :
( ~ p2(X18,X20)
| ~ p2(X18,X19)
| p2(X19,X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
p2(f7(f8(c21,c22),c20),f6(f5(c18),f3(c18))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,negated_conjecture,
! [X37,X38,X39,X40] :
( ~ p2(X38,X40)
| ~ p2(X37,X39)
| p2(f6(X37,X38),f6(X39,X40)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,negated_conjecture,
! [X53,X54] :
( ~ p2(f7(f8(c21,X53),c20),f6(f5(c18),c19))
| ~ p2(X53,f9(c20,X54))
| ~ p15(X53,c21) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,plain,
! [X0] : p2(X0,X0),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f33,plain,
p15(c22,c21),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f34,plain,
p2(f3(c18),c19),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f35,plain,
p2(c22,f9(c20,c23)),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f44,plain,
! [X20,X18] :
( ~ p2(X18,X20)
| ! [X19] :
( ~ p2(X18,X19)
| p2(X19,X20) ) ),
inference(miniscoping,[status(thm)],[f14]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f47,plain,
p2(f7(f8(c21,c22),c20),f6(f5(c18),f3(c18))),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f55,plain,
! [X38,X40] :
( ~ p2(X38,X40)
| ! [X37,X39] :
( ~ p2(X37,X39)
| p2(f6(X37,X38),f6(X39,X40)) ) ),
inference(miniscoping,[status(thm)],[f21]) ).
fof(f56,plain,
! [X0,X1,X2,X3] :
( ~ p2(X1,X3)
| ~ p2(X0,X2)
| p2(f6(X0,X1),f6(X2,X3)) ),
inference(cnf_transformation,[status(thm)],[f55]) ).
fof(f64,plain,
! [X53] :
( ~ p2(f7(f8(c21,X53),c20),f6(f5(c18),c19))
| ! [X54] : ~ p2(X53,f9(c20,X54))
| ~ p15(X53,c21) ),
inference(miniscoping,[status(thm)],[f26]) ).
fof(f65,plain,
! [X0,X1] :
( ~ p2(f7(f8(c21,X0),c20),f6(f5(c18),c19))
| ~ p2(X0,f9(c20,X1))
| ~ p15(X0,c21) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f93,plain,
! [X0,X1,X2] :
( ~ p2(X2,f6(f5(c18),c19))
| ~ p2(X2,f7(f8(c21,X0),c20))
| ~ p2(X0,f9(c20,X1))
| ~ p15(X0,c21) ),
inference(resolution,[status(thm)],[f65,f45]) ).
fof(f102,plain,
! [X0,X1] :
( ~ p2(X1,f6(f5(c18),c19))
| ~ p2(X1,f7(f8(c21,c22),c20))
| ~ p2(c22,f9(c20,X0)) ),
inference(resolution,[status(thm)],[f93,f33]) ).
fof(f104,plain,
! [X0] :
( ~ p2(X0,f6(f5(c18),c19))
| ~ p2(X0,f7(f8(c21,c22),c20)) ),
inference(resolution,[status(thm)],[f102,f35]) ).
fof(f106,plain,
! [X0,X1] :
( ~ p2(X1,c19)
| ~ p2(X0,f5(c18))
| ~ p2(f6(X0,X1),f7(f8(c21,c22),c20)) ),
inference(resolution,[status(thm)],[f104,f56]) ).
fof(f112,plain,
! [X0,X1,X2] :
( ~ p2(X2,f7(f8(c21,c22),c20))
| ~ p2(X2,f6(X0,X1))
| ~ p2(X1,c19)
| ~ p2(X0,f5(c18)) ),
inference(resolution,[status(thm)],[f106,f45]) ).
fof(f122,plain,
! [X0,X1] :
( ~ p2(f7(f8(c21,c22),c20),f6(X0,X1))
| ~ p2(X1,c19)
| ~ p2(X0,f5(c18)) ),
inference(resolution,[status(thm)],[f112,f32]) ).
fof(f123,plain,
( ~ p2(f3(c18),c19)
| ~ p2(f5(c18),f5(c18)) ),
inference(resolution,[status(thm)],[f122,f47]) ).
fof(f125,plain,
~ p2(f3(c18),c19),
inference(forward_subsumption_resolution,[status(thm)],[f123,f32]) ).
fof(f126,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f125,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN602-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n006.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 11:09:42 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.15/0.38 % Drodi V4.1.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.43 % Elapsed time: 0.053002 seconds
% 0.15/0.43 % CPU time: 0.193712 seconds
% 0.15/0.43 % Total memory used: 56.148 MB
% 0.15/0.43 % Net memory used: 55.629 MB
%------------------------------------------------------------------------------