%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYO612-1 : TPTP v9.3.1. Released v7.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 03:42:49 PM UTC 2026
% Result : Unsatisfiable 4.77s 1.16s
% Output : CNFRefutation 4.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 20 ( 6 unt; 0 def)
% Number of atoms : 122 ( 0 equ)
% Maximal formula atoms : 13 ( 6 avg)
% Number of connectives : 219 ( 117 ~; 102 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 12 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 94 ( 94 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] : le(A,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : eq(f(A),a0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A0,A1,A2,A3,A4,A5,A6] :
( ~ le(s(A5),A6)
| ~ le(s(A4),A5)
| ~ le(s(A3),A4)
| ~ le(s(A2),A3)
| ~ le(s(A1),A2)
| ~ le(s(A0),A1)
| ~ eq(f(A6),a0)
| ~ eq(f(A5),a0)
| ~ eq(f(A4),a0)
| ~ eq(f(A3),a0)
| ~ eq(f(A2),a0)
| ~ eq(f(A1),a0)
| ~ eq(f(A0),a0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0] : le(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f11,plain,
! [X0] : eq(f(X0),a0),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f12,plain,
! [A5,A6] :
( ~ le(s(A5),A6)
| ! [A4] :
( ~ le(s(A4),A5)
| ! [A3] :
( ~ le(s(A3),A4)
| ! [A2] :
( ~ le(s(A2),A3)
| ! [A1] :
( ~ le(s(A1),A2)
| ! [A0] :
( ~ le(s(A0),A1)
| ~ eq(f(A6),a0)
| ~ eq(f(A5),a0)
| ~ eq(f(A4),a0)
| ~ eq(f(A3),a0)
| ~ eq(f(A2),a0)
| ~ eq(f(A1),a0)
| ~ eq(f(A0),a0) ) ) ) ) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f13,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ le(s(X5),X6)
| ~ le(s(X4),X5)
| ~ le(s(X3),X4)
| ~ le(s(X2),X3)
| ~ le(s(X1),X2)
| ~ le(s(X0),X1)
| ~ eq(f(X6),a0)
| ~ eq(f(X5),a0)
| ~ eq(f(X4),a0)
| ~ eq(f(X3),a0)
| ~ eq(f(X2),a0)
| ~ eq(f(X1),a0)
| ~ eq(f(X0),a0) ),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f14,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ le(s(X4),X5)
| ~ le(s(X3),X4)
| ~ le(s(X2),X3)
| ~ le(s(X1),X2)
| ~ le(s(X0),X1)
| ~ le(s(X6),X0)
| ~ eq(f(X5),a0)
| ~ eq(f(X4),a0)
| ~ eq(f(X3),a0)
| ~ eq(f(X2),a0)
| ~ eq(f(X1),a0)
| ~ eq(f(X0),a0) ),
inference(forward_subsumption_resolution,[status(thm)],[f13,f11]) ).
fof(f16,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ le(s(X3),X4)
| ~ le(s(X2),X3)
| ~ le(s(X1),X2)
| ~ le(s(X6),X1)
| ~ le(s(X0),X6)
| ~ le(s(X5),X0)
| ~ eq(f(X4),a0)
| ~ eq(f(X3),a0)
| ~ eq(f(X2),a0)
| ~ eq(f(X1),a0)
| ~ eq(f(X0),a0) ),
inference(resolution,[status(thm)],[f14,f11]) ).
fof(f26,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ le(s(X2),X3)
| ~ le(s(X1),X2)
| ~ le(s(X0),X1)
| ~ le(s(X6),X0)
| ~ le(s(X5),X6)
| ~ le(s(X4),X5)
| ~ eq(f(X3),a0)
| ~ eq(f(X2),a0)
| ~ eq(f(X1),a0)
| ~ eq(f(X0),a0) ),
inference(forward_subsumption_resolution,[status(thm)],[f16,f11]) ).
fof(f40,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ le(s(X1),X2)
| ~ le(s(X0),X1)
| ~ le(s(X6),X0)
| ~ le(s(X5),X6)
| ~ le(s(X4),X5)
| ~ le(s(X3),X4)
| ~ eq(f(X2),a0)
| ~ eq(f(X1),a0)
| ~ eq(f(X0),a0) ),
inference(forward_subsumption_resolution,[status(thm)],[f26,f11]) ).
fof(f42,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ le(s(X6),X1)
| ~ le(s(X0),X6)
| ~ le(s(X5),X0)
| ~ le(s(X4),X5)
| ~ le(s(X3),X4)
| ~ le(s(X2),X3)
| ~ eq(f(X1),a0)
| ~ eq(f(X0),a0) ),
inference(resolution,[status(thm)],[f40,f11]) ).
fof(f44,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ le(s(X6),X0)
| ~ le(s(X5),X6)
| ~ le(s(X4),X5)
| ~ le(s(X3),X4)
| ~ le(s(X2),X3)
| ~ le(s(X1),X2)
| ~ eq(f(X0),a0) ),
inference(forward_subsumption_resolution,[status(thm)],[f42,f11]) ).
fof(f113,plain,
! [X0,X1,X2,X3,X4,X5,X6] :
( ~ le(s(X5),X6)
| ~ le(s(X4),X5)
| ~ le(s(X3),X4)
| ~ le(s(X2),X3)
| ~ le(s(X1),X2)
| ~ le(s(X0),X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f44,f11]) ).
fof(f136,plain,
! [X0,X1,X2,X3,X4,X5] :
( ~ le(s(s(X4)),X5)
| ~ le(s(X3),X4)
| ~ le(s(X2),X3)
| ~ le(s(X1),X2)
| ~ le(s(X0),X1) ),
inference(resolution,[status(thm)],[f113,f6]) ).
fof(f516,plain,
! [X0,X1,X2,X3,X4] :
( ~ le(s(X3),X4)
| ~ le(s(X2),X3)
| ~ le(s(X1),X2)
| ~ le(s(X0),X1) ),
inference(resolution,[status(thm)],[f136,f6]) ).
fof(f532,plain,
! [X0,X1,X2,X3] :
( ~ le(s(X2),X3)
| ~ le(s(X1),X2)
| ~ le(s(X0),X1) ),
inference(resolution,[status(thm)],[f516,f6]) ).
fof(f540,plain,
! [X0,X1,X2] :
( ~ le(s(X1),X2)
| ~ le(s(X0),X1) ),
inference(resolution,[status(thm)],[f532,f6]) ).
fof(f543,plain,
! [X0,X1] : ~ le(s(X0),X1),
inference(resolution,[status(thm)],[f540,f6]) ).
fof(f546,plain,
$false,
inference(resolution,[status(thm)],[f543,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYO612-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n019.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 21 12:04:19 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.40 % Drodi V4.1.1
% 4.77/1.16 % Refutation found
% 4.77/1.16 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.77/1.16 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.77/1.17 % Elapsed time: 0.757804 seconds
% 4.77/1.17 % CPU time: 5.739396 seconds
% 4.77/1.17 % Total memory used: 54.035 MB
% 4.77/1.17 % Net memory used: 47.333 MB
%------------------------------------------------------------------------------