%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYO614-1 : 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 0.16s 10.48s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 6
% Syntax : Number of formulae : 24 ( 6 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 57 ( 33 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A] : le(A,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] :
( le(A,C)
| ~ le(max(A,B),C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B,C] :
( le(B,C)
| ~ le(max(A,B),C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] :
( eq(f(A),a1)
| eq(f(A),a0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A0,A1] :
( ~ le(s(A0),A1)
| ~ eq(f(A1),a0)
| ~ eq(f(A0),a0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A0,A1] :
( ~ le(s(A0),A1)
| ~ eq(f(A1),a1)
| ~ eq(f(A0),a1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0] : le(X0,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f8,plain,
! [A,C] :
( le(A,C)
| ! [B] : ~ le(max(A,B),C) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f9,plain,
! [X0,X1,X2] :
( le(X0,X2)
| ~ le(max(X0,X1),X2) ),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f10,plain,
! [B,C] :
( le(B,C)
| ! [A] : ~ le(max(A,B),C) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f11,plain,
! [X0,X1,X2] :
( le(X1,X2)
| ~ le(max(X0,X1),X2) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f12,plain,
! [X0] :
( eq(f(X0),a1)
| eq(f(X0),a0) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
! [X0,X1] :
( ~ le(s(X0),X1)
| ~ eq(f(X1),a0)
| ~ eq(f(X0),a0) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f14,plain,
! [X0,X1] :
( ~ le(s(X0),X1)
| ~ eq(f(X1),a1)
| ~ eq(f(X0),a1) ),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ~ le(max(s(X0),X2),X1)
| ~ eq(f(X1),a0)
| ~ eq(f(X0),a0) ),
inference(resolution,[status(thm)],[f13,f9]) ).
fof(f19,plain,
! [X0,X1,X2] :
( ~ le(max(X2,s(X0)),X1)
| ~ eq(f(X1),a1)
| ~ eq(f(X0),a1) ),
inference(resolution,[status(thm)],[f14,f11]) ).
fof(f30,plain,
! [X0,X1] :
( ~ eq(f(max(s(X0),X1)),a0)
| ~ eq(f(X0),a0) ),
inference(resolution,[status(thm)],[f16,f7]) ).
fof(f33,plain,
! [X0,X1] :
( ~ eq(f(max(X1,s(X0))),a1)
| ~ eq(f(X0),a1) ),
inference(resolution,[status(thm)],[f19,f7]) ).
fof(f34,plain,
! [X0,X1] :
( eq(f(max(s(X0),X1)),a1)
| ~ eq(f(X0),a0) ),
inference(resolution,[status(thm)],[f30,f12]) ).
fof(f36,plain,
! [X0,X1] :
( ~ eq(f(X1),a1)
| ~ eq(f(X0),a0) ),
inference(resolution,[status(thm)],[f34,f33]) ).
fof(f37,plain,
! [X0] : ~ eq(f(X0),a0),
inference(backward_subsumption_resolution,[status(thm)],[f34,f36]) ).
fof(f44,plain,
! [X0] : eq(f(X0),a1),
inference(backward_subsumption_resolution,[status(thm)],[f12,f37]) ).
fof(f46,plain,
! [X0,X1] : ~ eq(f(max(X0,s(X1))),a1),
inference(backward_subsumption_resolution,[status(thm)],[f33,f44]) ).
fof(f51,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f46,f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYO614-1 : TPTP v9.3.1. Released v7.1.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/10.44 % Computer : n019.cluster.edu
% 0.16/10.44 % Model : x86_64 x86_64
% 0.16/10.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/10.44 % Memory : 8046.5625MB
% 0.16/10.44 % OS : Linux 6.8.0-71-generic
% 0.16/10.44 % CPULimit : 300
% 0.16/10.44 % WCLimit : 300
% 0.16/10.44 % DateTime : Mon Sep 21 12:04:45 UTC 2026
% 0.16/10.44 % CPUTime :
% 0.16/10.45 % Drodi V4.1.1
% 0.16/10.48 % Refutation found
% 0.16/10.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/10.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.22/10.50 % Elapsed time: 0.046561 seconds
% 0.22/10.50 % CPU time: 0.088813 seconds
% 0.22/10.50 % Total memory used: 1.368 MB
% 0.22/10.50 % Net memory used: 1.295 MB
%------------------------------------------------------------------------------