%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LCL195-3 : TPTP v9.3.1. Released v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 01:07:05 PM UTC 2026
% Result : Unsatisfiable 208.27s 26.81s
% Output : CNFRefutation 208.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 7
% Syntax : Number of formulae : 48 ( 23 unt; 0 def)
% Number of atoms : 81 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 81 ( 48 ~; 33 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 93 ( 93 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [A,B] : axiom(implies(or(A,B),or(B,A))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C] : axiom(implies(or(A,or(B,C)),or(B,or(A,C)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : axiom(implies(implies(A,B),implies(or(C,A),or(C,B)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] : implies(X,Y) = or(not(X),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X] :
( ~ axiom(X)
| theorem(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X,Y] :
( ~ theorem(Y)
| ~ theorem(implies(Y,X))
| theorem(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,negated_conjecture,
~ theorem(implies(implies(q,r),implies(or(q,p),or(r,p)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,plain,
! [X0,X1] : axiom(implies(or(X0,X1),or(X1,X0))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f13,plain,
! [X0,X1,X2] : axiom(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
! [X0,X1,X2] : axiom(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f15,plain,
! [X0,X1] : implies(X0,X1) = or(not(X0),X1),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f16,plain,
! [X0] :
( theorem(X0)
| ~ axiom(X0) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f17,plain,
! [Y] :
( ~ theorem(Y)
| ! [X] :
( ~ theorem(implies(Y,X))
| theorem(X) ) ),
inference(miniscoping,[status(thm)],[f8]) ).
fof(f18,plain,
! [X0,X1] :
( ~ theorem(X0)
| theorem(X1)
| ~ theorem(implies(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f19,plain,
~ theorem(implies(implies(q,r),implies(or(q,p),or(r,p)))),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f20,plain,
! [X0,X1,X2] : theorem(implies(or(X0,or(X1,X2)),or(X1,or(X0,X2)))),
inference(resolution,[status(thm)],[f13,f16]) ).
fof(f21,plain,
! [X0,X1,X2] : axiom(implies(or(X0,or(not(X1),X2)),implies(X1,or(X0,X2)))),
inference(paramodulation,[status(thm)],[f15,f13]) ).
fof(f25,plain,
! [X0,X1,X2] : axiom(implies(or(X0,implies(X1,X2)),implies(X1,or(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f15,f21]) ).
fof(f29,plain,
! [X0,X1,X2] :
( theorem(or(X1,or(X0,X2)))
| ~ theorem(or(X0,or(X1,X2))) ),
inference(resolution,[status(thm)],[f20,f18]) ).
fof(f54,plain,
! [X0,X1,X2] : theorem(implies(implies(X0,X1),implies(or(X2,X0),or(X2,X1)))),
inference(resolution,[status(thm)],[f14,f16]) ).
fof(f71,plain,
! [X0,X1] : theorem(implies(or(X0,X1),or(X1,X0))),
inference(resolution,[status(thm)],[f12,f16]) ).
fof(f75,plain,
! [X0,X1] :
( theorem(or(X1,X0))
| ~ theorem(or(X0,X1)) ),
inference(resolution,[status(thm)],[f71,f18]) ).
fof(f77,plain,
! [X0,X1] : theorem(implies(or(X0,not(X1)),implies(X1,X0))),
inference(paramodulation,[status(thm)],[f15,f71]) ).
fof(f80,plain,
! [X0,X1,X2] :
( theorem(implies(or(X2,X0),or(X2,X1)))
| ~ theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f54,f18]) ).
fof(f94,plain,
! [X0,X1,X2] :
( ~ theorem(or(X0,or(X2,X1)))
| theorem(or(or(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f29,f75]) ).
fof(f112,plain,
! [X0,X1] :
( theorem(implies(X1,X0))
| ~ theorem(or(X0,not(X1))) ),
inference(resolution,[status(thm)],[f77,f18]) ).
fof(f130,plain,
! [X0,X1,X2] :
( ~ theorem(or(X2,X0))
| theorem(or(X2,X1))
| ~ theorem(implies(X0,X1)) ),
inference(resolution,[status(thm)],[f80,f18]) ).
fof(f132,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,X2))
| theorem(implies(or(not(X0),X1),implies(X0,X2))) ),
inference(paramodulation,[status(thm)],[f15,f80]) ).
fof(f133,plain,
! [X0,X1,X2] :
( theorem(implies(implies(X2,X0),implies(X2,X1)))
| ~ theorem(implies(X0,X1)) ),
inference(forward_demodulation,[status(thm)],[f15,f132]) ).
fof(f223,plain,
! [X0,X1,X2] :
( ~ theorem(or(not(X0),or(X2,X1)))
| theorem(or(implies(X0,X1),X2)) ),
inference(paramodulation,[status(thm)],[f15,f94]) ).
fof(f224,plain,
! [X0,X1,X2] :
( theorem(or(implies(X0,X2),X1))
| ~ theorem(implies(X0,or(X1,X2))) ),
inference(forward_demodulation,[status(thm)],[f15,f223]) ).
fof(f240,plain,
! [X0,X1,X2] :
( ~ theorem(implies(X1,X2))
| theorem(or(not(X0),X2))
| ~ theorem(implies(X0,X1)) ),
inference(paramodulation,[status(thm)],[f15,f130]) ).
fof(f241,plain,
! [X0,X1,X2] :
( theorem(implies(X0,X2))
| ~ theorem(implies(X1,X2))
| ~ theorem(implies(X0,X1)) ),
inference(forward_demodulation,[status(thm)],[f15,f240]) ).
fof(f256,plain,
~ theorem(or(implies(or(q,p),or(r,p)),not(implies(q,r)))),
inference(resolution,[status(thm)],[f112,f19]) ).
fof(f400,plain,
~ theorem(implies(or(q,p),or(not(implies(q,r)),or(r,p)))),
inference(resolution,[status(thm)],[f224,f256]) ).
fof(f406,plain,
~ theorem(implies(or(q,p),implies(implies(q,r),or(r,p)))),
inference(forward_demodulation,[status(thm)],[f15,f400]) ).
fof(f464,plain,
! [X0,X1] :
( ~ axiom(implies(X1,X0))
| ~ theorem(X1)
| theorem(X0) ),
inference(resolution,[status(thm)],[f18,f16]) ).
fof(f792,plain,
! [X0] :
( ~ theorem(implies(X0,implies(implies(q,r),or(r,p))))
| ~ theorem(implies(or(q,p),X0)) ),
inference(resolution,[status(thm)],[f241,f406]) ).
fof(f841,plain,
~ theorem(implies(or(p,q),implies(implies(q,r),or(r,p)))),
inference(resolution,[status(thm)],[f792,f71]) ).
fof(f852,plain,
! [X0] :
( ~ theorem(implies(or(p,q),X0))
| ~ theorem(implies(X0,implies(implies(q,r),or(r,p)))) ),
inference(resolution,[status(thm)],[f841,f241]) ).
fof(f919,plain,
! [X0,X1] :
( ~ axiom(implies(X1,implies(or(p,q),X0)))
| ~ theorem(X1)
| ~ theorem(implies(X0,implies(implies(q,r),or(r,p)))) ),
inference(resolution,[status(thm)],[f852,f464]) ).
fof(f1633,plain,
! [X0,X1] :
( ~ theorem(or(X0,implies(or(p,q),X1)))
| ~ theorem(implies(or(X0,X1),implies(implies(q,r),or(r,p)))) ),
inference(resolution,[status(thm)],[f919,f25]) ).
fof(f1734,plain,
! [X0,X1] :
( ~ theorem(implies(or(X0,X1),implies(implies(q,r),or(r,p))))
| ~ axiom(or(X0,implies(or(p,q),X1))) ),
inference(resolution,[status(thm)],[f1633,f16]) ).
fof(f1772,plain,
! [X0,X1] :
( ~ theorem(implies(or(not(X0),X1),implies(implies(q,r),or(r,p))))
| ~ axiom(implies(X0,implies(or(p,q),X1))) ),
inference(paramodulation,[status(thm)],[f15,f1734]) ).
fof(f1773,plain,
! [X0,X1] :
( ~ theorem(implies(implies(X0,X1),implies(implies(q,r),or(r,p))))
| ~ axiom(implies(X0,implies(or(p,q),X1))) ),
inference(forward_demodulation,[status(thm)],[f15,f1772]) ).
fof(f1801,plain,
! [X0] : ~ theorem(implies(implies(implies(q,X0),or(p,X0)),implies(implies(q,r),or(r,p)))),
inference(resolution,[status(thm)],[f1773,f14]) ).
fof(f1806,plain,
~ theorem(implies(or(p,r),or(r,p))),
inference(resolution,[status(thm)],[f1801,f133]) ).
fof(f1812,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1806,f71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL195-3 : TPTP v9.3.1. Released v2.3.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n018.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 00:12:28 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 208.27/26.81 % Refutation found
% 208.27/26.81 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 208.27/26.81 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 178.54/27.60 % Elapsed time: 27.230325 seconds
% 178.54/27.60 % CPU time: 210.203649 seconds
% 178.54/27.60 % Total memory used: 473.335 MB
% 178.54/27.60 % Net memory used: 405.842 MB
%------------------------------------------------------------------------------