%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN603-1 : 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 03:16:54 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.48s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 13 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 83 ( 49 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 44 ( 44 !; 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(f5,negated_conjecture,
p2(c22,f9(c20,c23)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
p2(f3(f4(c16)),c17),
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(f19,negated_conjecture,
p2(f7(f8(c21,c22),c20),f6(f5(f4(c16)),f3(f4(c16)))),
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(f4(c16)),c17))
| ~ 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(f35,plain,
p2(c22,f9(c20,c23)),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f36,plain,
p2(f3(f4(c16)),c17),
inference(cnf_transformation,[status(thm)],[f6]) ).
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(f52,plain,
p2(f7(f8(c21,c22),c20),f6(f5(f4(c16)),f3(f4(c16)))),
inference(cnf_transformation,[status(thm)],[f19]) ).
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(f4(c16)),c17))
| ! [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(f4(c16)),c17))
| ~ p2(X0,f9(c20,X1))
| ~ p15(X0,c21) ),
inference(cnf_transformation,[status(thm)],[f64]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ p2(X2,f6(f5(f4(c16)),c17))
| ~ p2(X2,f7(f8(c21,X0),c20))
| ~ p2(X0,f9(c20,X1))
| ~ p15(X0,c21) ),
inference(resolution,[status(thm)],[f65,f45]) ).
fof(f76,plain,
! [X0,X1] :
( ~ p2(X1,f6(f5(f4(c16)),c17))
| ~ p2(X1,f7(f8(c21,c22),c20))
| ~ p2(c22,f9(c20,X0)) ),
inference(resolution,[status(thm)],[f74,f33]) ).
fof(f78,plain,
! [X0] :
( ~ p2(X0,f6(f5(f4(c16)),c17))
| ~ p2(X0,f7(f8(c21,c22),c20)) ),
inference(resolution,[status(thm)],[f76,f35]) ).
fof(f81,plain,
! [X0,X1] :
( ~ p2(X1,f6(f5(f4(c16)),c17))
| ~ p2(X1,X0)
| ~ p2(X0,f7(f8(c21,c22),c20)) ),
inference(resolution,[status(thm)],[f78,f45]) ).
fof(f91,plain,
! [X0] :
( ~ p2(f6(f5(f4(c16)),c17),X0)
| ~ p2(X0,f7(f8(c21,c22),c20)) ),
inference(resolution,[status(thm)],[f81,f32]) ).
fof(f93,plain,
! [X0,X1] :
( ~ p2(X1,f7(f8(c21,c22),c20))
| ~ p2(X1,X0)
| ~ p2(f6(f5(f4(c16)),c17),X0) ),
inference(resolution,[status(thm)],[f91,f45]) ).
fof(f103,plain,
! [X0] :
( ~ p2(f7(f8(c21,c22),c20),X0)
| ~ p2(f6(f5(f4(c16)),c17),X0) ),
inference(resolution,[status(thm)],[f93,f32]) ).
fof(f104,plain,
! [X0,X1] :
( ~ p2(c17,X1)
| ~ p2(f5(f4(c16)),X0)
| ~ p2(f7(f8(c21,c22),c20),f6(X0,X1)) ),
inference(resolution,[status(thm)],[f103,f56]) ).
fof(f118,plain,
( ~ p2(c17,f3(f4(c16)))
| ~ p2(f5(f4(c16)),f5(f4(c16))) ),
inference(resolution,[status(thm)],[f104,f52]) ).
fof(f120,plain,
~ p2(c17,f3(f4(c16))),
inference(forward_subsumption_resolution,[status(thm)],[f118,f32]) ).
fof(f122,plain,
! [X0] :
( ~ p2(X0,f3(f4(c16)))
| ~ p2(X0,c17) ),
inference(resolution,[status(thm)],[f120,f45]) ).
fof(f129,plain,
~ p2(f3(f4(c16)),f3(f4(c16))),
inference(resolution,[status(thm)],[f122,f36]) ).
fof(f132,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f129,f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN603-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.41 % Computer : n026.cluster.edu
% 0.16/0.41 % Model : x86_64 x86_64
% 0.16/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.41 % Memory : 8046.5625MB
% 0.16/0.41 % OS : Linux 6.8.0-71-generic
% 0.16/0.41 % CPULimit : 300
% 0.16/0.41 % WCLimit : 300
% 0.16/0.41 % DateTime : Mon Sep 21 11:12:37 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.43 % Drodi V4.1.1
% 0.16/0.48 % Refutation found
% 0.16/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.49 % Elapsed time: 0.069006 seconds
% 0.16/0.49 % CPU time: 0.330626 seconds
% 0.16/0.49 % Total memory used: 42.561 MB
% 0.16/0.49 % Net memory used: 41.946 MB
%------------------------------------------------------------------------------