%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN101-1.002.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 03:15:13 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 21 ( 10 unt; 0 def)
% Number of atoms : 40 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 41 ( 22 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 18 ( 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
~ p_1_2(a,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X_1,X_2] :
( ~ q_1_1(X_1,X_2)
| ~ q_2_2(X_1,X_2)
| p_1_2(X_1,X_2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X_1,X_2] :
( ~ nq_2(X_2)
| ~ nq_1(X_1)
| q_1_1(X_1,X_2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X_1,X_2] :
( ~ nq_2(X_2)
| ~ nq_1(X_1)
| q_2_2(X_1,X_2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
nq_1(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
nq_2(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,plain,
~ p_1_2(a,a),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f20,plain,
! [X0,X1] :
( ~ q_1_1(X0,X1)
| ~ q_2_2(X0,X1)
| p_1_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f29,plain,
! [X_2] :
( ~ nq_2(X_2)
| ! [X_1] :
( ~ nq_1(X_1)
| q_1_1(X_1,X_2) ) ),
inference(miniscoping,[status(thm)],[f11]) ).
fof(f30,plain,
! [X0,X1] :
( ~ nq_2(X1)
| ~ nq_1(X0)
| q_1_1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f29]) ).
fof(f33,plain,
! [X_2] :
( ~ nq_2(X_2)
| ! [X_1] :
( ~ nq_1(X_1)
| q_2_2(X_1,X_2) ) ),
inference(miniscoping,[status(thm)],[f13]) ).
fof(f34,plain,
! [X0,X1] :
( ~ nq_2(X1)
| ~ nq_1(X0)
| q_2_2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f33]) ).
fof(f35,plain,
nq_1(a),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f37,plain,
nq_2(a),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f41,plain,
! [X0] :
( ~ nq_1(X0)
| q_1_1(X0,a) ),
inference(resolution,[status(thm)],[f30,f37]) ).
fof(f43,plain,
q_1_1(a,a),
inference(resolution,[status(thm)],[f41,f35]) ).
fof(f47,plain,
( ~ q_2_2(a,a)
| p_1_2(a,a) ),
inference(resolution,[status(thm)],[f43,f20]) ).
fof(f48,plain,
~ q_2_2(a,a),
inference(forward_subsumption_resolution,[status(thm)],[f47,f18]) ).
fof(f54,plain,
! [X0] :
( ~ nq_1(X0)
| q_2_2(X0,a) ),
inference(resolution,[status(thm)],[f34,f37]) ).
fof(f61,plain,
q_2_2(a,a),
inference(resolution,[status(thm)],[f54,f35]) ).
fof(f62,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f61,f48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN101-1.002.002 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n009.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 10:43:27 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.42 % Elapsed time: 0.045096 seconds
% 0.14/0.42 % CPU time: 0.138808 seconds
% 0.14/0.42 % Total memory used: 55.528 MB
% 0.14/0.42 % Net memory used: 55.138 MB
%------------------------------------------------------------------------------