%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN726-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 03:17:10 PM UTC 2026
% Result : Unsatisfiable 0.02s 0.39s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 26 ( 10 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 45 ( 21 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 41 ( 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [A,C,B] :
( ~ p(B,C)
| ~ p(A,B)
| p(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [A,C,B] :
( ~ q(B,C)
| ~ q(A,B)
| q(A,C) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [B,A] :
( ~ q(A,B)
| q(B,A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [A,B] :
( q(A,B)
| p(A,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
~ p(sk1,sk2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
~ q(sk3,sk4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [C,B] :
( ~ p(B,C)
| ! [A] :
( ~ p(A,B)
| p(A,C) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f8,plain,
! [X0,X1,X2] :
( ~ p(X2,X1)
| ~ p(X0,X2)
| p(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f9,plain,
! [C,B] :
( ~ q(B,C)
| ! [A] :
( ~ q(A,B)
| q(A,C) ) ),
inference(miniscoping,[status(thm)],[f2]) ).
fof(f10,plain,
! [X0,X1,X2] :
( ~ q(X2,X1)
| ~ q(X0,X2)
| q(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f11,plain,
! [X0,X1] :
( ~ q(X1,X0)
| q(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f12,plain,
! [X0,X1] :
( q(X0,X1)
| p(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f13,plain,
~ p(sk1,sk2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f14,plain,
~ q(sk3,sk4),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f15,plain,
q(sk1,sk2),
inference(resolution,[status(thm)],[f12,f13]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ~ p(X2,X0)
| p(X2,X1)
| q(X0,X1) ),
inference(resolution,[status(thm)],[f12,f8]) ).
fof(f18,plain,
q(sk2,sk1),
inference(resolution,[status(thm)],[f15,f11]) ).
fof(f19,plain,
! [X0] :
( ~ q(X0,sk2)
| q(X0,sk1) ),
inference(resolution,[status(thm)],[f18,f10]) ).
fof(f29,plain,
! [X0,X1,X2] :
( q(X2,X0)
| p(X2,X1)
| q(X0,X1) ),
inference(resolution,[status(thm)],[f16,f12]) ).
fof(f30,plain,
! [X0] :
( q(sk1,X0)
| q(X0,sk2) ),
inference(resolution,[status(thm)],[f29,f13]) ).
fof(f33,plain,
! [X0] :
( q(X0,sk1)
| q(sk1,X0) ),
inference(resolution,[status(thm)],[f30,f19]) ).
fof(f36,plain,
! [X0] : q(X0,sk1),
inference(forward_subsumption_resolution,[status(thm)],[f33,f11]) ).
fof(f39,plain,
! [X0] : q(sk1,X0),
inference(resolution,[status(thm)],[f36,f11]) ).
fof(f42,plain,
! [X0,X1] :
( ~ q(X0,sk1)
| q(X0,X1) ),
inference(resolution,[status(thm)],[f39,f10]) ).
fof(f44,plain,
! [X0,X1] : q(X0,X1),
inference(forward_subsumption_resolution,[status(thm)],[f42,f36]) ).
fof(f46,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f14,f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN726-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % 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 11:18:24 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.37 % Drodi V4.1.1
% 0.02/0.39 % Refutation found
% 0.02/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.02/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.02/0.42 % Elapsed time: 0.043499 seconds
% 0.02/0.42 % CPU time: 0.117709 seconds
% 0.02/0.42 % Total memory used: 16.537 MB
% 0.02/0.42 % Net memory used: 15.978 MB
%------------------------------------------------------------------------------