%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN115-1 : TPTP v9.3.1. Released v1.1.0.
% 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 03:15:15 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.41s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 42 ( 16 unt; 0 def)
% Number of atoms : 86 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 100 ( 56 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 60 ( 60 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
p0(c,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f27,axiom,
m0(e,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,axiom,
n0(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [C,D,E,F] :
( ~ m0(D,C,E)
| ~ r0(F)
| ~ p0(E,C)
| l1(C,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f50,axiom,
( ~ r0(e)
| m1(e,e,e) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f214,axiom,
! [D,E] :
( ~ m1(E,D,E)
| p2(D,E,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f224,axiom,
! [G,H] :
( ~ l1(H,G)
| q2(G,G,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f278,axiom,
! [D,E,F] :
( ~ p2(E,F,D)
| n3(D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f293,axiom,
! [G,H,I] :
( ~ n0(I,G)
| ~ q2(I,G,H)
| q3(G,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f312,axiom,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ k4(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f382,plain,
r0(e),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f387,plain,
p0(c,b),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f396,plain,
m0(e,b,c),
inference(cnf_transformation,[status(thm)],[f27]) ).
fof(f399,plain,
n0(e,e),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f403,plain,
n0(c,d),
inference(cnf_transformation,[status(thm)],[f34]) ).
fof(f412,plain,
! [C,D,E] :
( ~ m0(D,C,E)
| ! [F] : ~ r0(F)
| ~ p0(E,C)
| l1(C,D) ),
inference(miniscoping,[status(thm)],[f41]) ).
fof(f413,plain,
! [X0,X1,X2,X3] :
( ~ m0(X1,X0,X2)
| ~ r0(X3)
| ~ p0(X2,X0)
| l1(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f412]) ).
fof(f427,plain,
( ~ r0(e)
| m1(e,e,e) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f685,plain,
! [X0,X1] :
( ~ m1(X1,X0,X1)
| p2(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f699,plain,
! [X0,X1] :
( ~ l1(X1,X0)
| q2(X0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f778,plain,
! [D] :
( ! [E,F] : ~ p2(E,F,D)
| n3(D) ),
inference(miniscoping,[status(thm)],[f278]) ).
fof(f779,plain,
! [X0,X1,X2] :
( ~ p2(X1,X2,X0)
| n3(X0) ),
inference(cnf_transformation,[status(thm)],[f778]) ).
fof(f801,plain,
! [G,I] :
( ~ n0(I,G)
| ! [H] :
( ~ q2(I,G,H)
| q3(G,H) ) ),
inference(miniscoping,[status(thm)],[f293]) ).
fof(f802,plain,
! [X0,X1,X2] :
( ~ n0(X2,X0)
| ~ q2(X2,X0,X1)
| q3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f801]) ).
fof(f832,plain,
( ~ n3(e)
| ~ q3(e,b)
| ~ n0(c,d)
| k4(c) ),
inference(cnf_transformation,[status(thm)],[f312]) ).
fof(f924,plain,
~ k4(c),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f925,plain,
m1(e,e,e),
inference(forward_subsumption_resolution,[status(thm)],[f427,f382]) ).
fof(f964,plain,
( ~ n3(e)
| ~ q3(e,b)
| k4(c) ),
inference(forward_subsumption_resolution,[status(thm)],[f832,f403]) ).
fof(f966,plain,
( ~ n3(e)
| ~ q3(e,b) ),
inference(backward_subsumption_resolution,[status(thm)],[f964,f924]) ).
fof(f986,plain,
! [X0,X1] :
( ~ q3(e,b)
| ~ p2(X0,X1,e) ),
inference(resolution,[status(thm)],[f779,f966]) ).
fof(f1019,plain,
! [X0,X1,X2] :
( ~ p2(X1,X2,e)
| ~ n0(X0,e)
| ~ q2(X0,e,b) ),
inference(resolution,[status(thm)],[f802,f986]) ).
fof(f1021,plain,
! [X0,X1] :
( ~ p2(X0,X1,e)
| ~ q2(e,e,b) ),
inference(resolution,[status(thm)],[f1019,f399]) ).
fof(f1023,plain,
! [X0,X1] :
( ~ l1(b,e)
| ~ p2(X0,X1,e) ),
inference(resolution,[status(thm)],[f1021,f699]) ).
fof(f1024,plain,
! [X0,X1,X2,X3] :
( ~ m0(e,b,X2)
| ~ r0(X3)
| ~ p0(X2,b)
| ~ p2(X0,X1,e) ),
inference(resolution,[status(thm)],[f1023,f413]) ).
fof(f1030,plain,
! [X0,X1,X2] :
( ~ r0(X2)
| ~ p0(c,b)
| ~ p2(X0,X1,e) ),
inference(resolution,[status(thm)],[f1024,f396]) ).
fof(f1031,plain,
! [X0,X1,X2] :
( ~ r0(X2)
| ~ p2(X0,X1,e) ),
inference(forward_subsumption_resolution,[status(thm)],[f1030,f387]) ).
fof(f1032,plain,
! [X0,X1] : ~ p2(X0,X1,e),
inference(resolution,[status(thm)],[f1031,f382]) ).
fof(f1053,plain,
! [X0] : ~ m1(X0,e,X0),
inference(resolution,[status(thm)],[f1032,f685]) ).
fof(f1063,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f925,f1053]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN115-1 : TPTP v9.3.1. Released v1.1.0.
% 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 10:43:43 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.41 % Refutation found
% 0.14/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.44 % Elapsed time: 0.068606 seconds
% 0.14/0.44 % CPU time: 0.208272 seconds
% 0.14/0.44 % Total memory used: 47.483 MB
% 0.14/0.44 % Net memory used: 47.344 MB
%------------------------------------------------------------------------------