%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN186-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 03:15:25 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 34 ( 18 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
s0(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X] : q0(X,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f135,axiom,
! [A] :
( ~ s0(A)
| q1(A,A,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f162,axiom,
! [D,E] :
( ~ q1(d,E,d)
| ~ s0(d)
| ~ q0(D,E)
| r1(D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ r1(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f370,plain,
s0(d),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f386,plain,
! [X0] : q0(X0,d),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f562,plain,
! [X0] :
( ~ s0(X0)
| q1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f135]) ).
fof(f605,plain,
! [E] :
( ~ q1(d,E,d)
| ~ s0(d)
| ! [D] :
( ~ q0(D,E)
| r1(D) ) ),
inference(miniscoping,[status(thm)],[f162]) ).
fof(f606,plain,
! [X0,X1] :
( ~ q1(d,X1,d)
| ~ s0(d)
| ~ q0(X0,X1)
| r1(X0) ),
inference(cnf_transformation,[status(thm)],[f605]) ).
fof(f924,plain,
~ r1(a),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f925,plain,
! [X0,X1] :
( ~ q1(d,X1,d)
| ~ q0(X0,X1)
| r1(X0) ),
inference(backward_subsumption_resolution,[status(thm)],[f606,f370]) ).
fof(f936,plain,
! [X0] :
( ~ q0(X0,d)
| r1(X0)
| ~ s0(d) ),
inference(resolution,[status(thm)],[f562,f925]) ).
fof(f937,plain,
! [X0] :
( ~ q0(X0,d)
| r1(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f936,f370]) ).
fof(f944,plain,
! [X0] : r1(X0),
inference(forward_subsumption_resolution,[status(thm)],[f937,f386]) ).
fof(f945,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f924,f944]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN186-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n008.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 10:46:24 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.047333 seconds
% 0.13/0.41 % CPU time: 0.155325 seconds
% 0.13/0.41 % Total memory used: 65.407 MB
% 0.13/0.41 % Net memory used: 65.260 MB
%------------------------------------------------------------------------------