%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN266-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 03:15:36 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 43 ( 16 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 110 ( 61 ~; 49 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 52 ( 52 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] : p0(b,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
m0(b,b,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,axiom,
! [B,C] :
( ~ m0(C,C,B)
| m1(B,C,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f50,axiom,
( ~ r0(e)
| m1(e,e,e) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f88,axiom,
! [D,E] :
( ~ p0(b,E)
| ~ l0(D)
| ~ s0(b)
| n1(D,E,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f190,axiom,
! [C,D,E] :
( ~ p2(C,D,C)
| ~ p0(C,D)
| ~ n1(E,D,E)
| p2(C,D,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f214,axiom,
! [D,E] :
( ~ m1(E,D,E)
| p2(D,E,D) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f276,axiom,
! [I] :
( ~ p2(I,I,I)
| m3(I,I,I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f289,axiom,
! [A,B,C,D] :
( ~ p2(A,B,D)
| ~ m3(B,C,D)
| p3(A,B,B) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ p3(b,e,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f374,plain,
s0(b),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f382,plain,
r0(e),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f383,plain,
! [X0] : p0(b,X0),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f393,plain,
l0(c),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f400,plain,
m0(b,b,e),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f416,plain,
! [X0,X1] :
( ~ m0(X1,X1,X0)
| m1(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f427,plain,
( ~ r0(e)
| m1(e,e,e) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f488,plain,
! [E] :
( ~ p0(b,E)
| ! [D] :
( ~ l0(D)
| ~ s0(b)
| n1(D,E,D) ) ),
inference(miniscoping,[status(thm)],[f88]) ).
fof(f489,plain,
! [X0,X1] :
( ~ p0(b,X1)
| ~ l0(X0)
| ~ s0(b)
| n1(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f488]) ).
fof(f649,plain,
! [C,D] :
( ~ p2(C,D,C)
| ~ p0(C,D)
| ! [E] : ~ n1(E,D,E)
| p2(C,D,D) ),
inference(miniscoping,[status(thm)],[f190]) ).
fof(f650,plain,
! [X0,X1,X2] :
( ~ p2(X0,X1,X0)
| ~ p0(X0,X1)
| ~ n1(X2,X1,X2)
| p2(X0,X1,X1) ),
inference(cnf_transformation,[status(thm)],[f649]) ).
fof(f685,plain,
! [X0,X1] :
( ~ m1(X1,X0,X1)
| p2(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f776,plain,
! [X0] :
( ~ p2(X0,X0,X0)
| m3(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f276]) ).
fof(f795,plain,
! [A,B,D] :
( ~ p2(A,B,D)
| ! [C] : ~ m3(B,C,D)
| p3(A,B,B) ),
inference(miniscoping,[status(thm)],[f289]) ).
fof(f796,plain,
! [X0,X1,X2,X3] :
( ~ p2(X0,X1,X3)
| ~ m3(X1,X2,X3)
| p3(X0,X1,X1) ),
inference(cnf_transformation,[status(thm)],[f795]) ).
fof(f924,plain,
~ p3(b,e,e),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f925,plain,
m1(e,e,e),
inference(forward_subsumption_resolution,[status(thm)],[f427,f382]) ).
fof(f936,plain,
! [X0,X1] :
( ~ p0(b,X1)
| ~ l0(X0)
| n1(X0,X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f489,f374]) ).
fof(f995,plain,
! [X0,X1] :
( ~ p2(X1,X0,X0)
| p3(X1,X0,X0)
| ~ p2(X0,X0,X0) ),
inference(resolution,[status(thm)],[f776,f796]) ).
fof(f996,plain,
( ~ p2(b,e,e)
| ~ p2(e,e,e) ),
inference(resolution,[status(thm)],[f995,f924]) ).
fof(f997,plain,
! [X0] :
( ~ p2(b,e,b)
| ~ p0(b,e)
| ~ n1(X0,e,X0)
| ~ p2(e,e,e) ),
inference(resolution,[status(thm)],[f996,f650]) ).
fof(f999,plain,
! [X0] :
( ~ p2(b,e,b)
| ~ n1(X0,e,X0)
| ~ p2(e,e,e) ),
inference(forward_subsumption_resolution,[status(thm)],[f997,f383]) ).
fof(f1000,plain,
! [X0] :
( ~ m1(e,b,e)
| ~ n1(X0,e,X0)
| ~ p2(e,e,e) ),
inference(resolution,[status(thm)],[f999,f685]) ).
fof(f1005,plain,
! [X0] :
( ~ m0(b,b,e)
| ~ n1(X0,e,X0)
| ~ p2(e,e,e) ),
inference(resolution,[status(thm)],[f1000,f416]) ).
fof(f1009,plain,
! [X0] :
( ~ n1(X0,e,X0)
| ~ p2(e,e,e) ),
inference(forward_subsumption_resolution,[status(thm)],[f1005,f400]) ).
fof(f1019,plain,
! [X0] :
( ~ m1(e,e,e)
| ~ n1(X0,e,X0) ),
inference(resolution,[status(thm)],[f1009,f685]) ).
fof(f1025,plain,
! [X0] : ~ n1(X0,e,X0),
inference(forward_subsumption_resolution,[status(thm)],[f1019,f925]) ).
fof(f1036,plain,
! [X0] :
( ~ p0(b,e)
| ~ l0(X0) ),
inference(resolution,[status(thm)],[f1025,f936]) ).
fof(f1047,plain,
! [X0] : ~ l0(X0),
inference(forward_subsumption_resolution,[status(thm)],[f1036,f383]) ).
fof(f1048,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f393,f1047]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN266-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n003.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 10:49:17 UTC 2026
% 0.13/0.36 % CPUTime :
% 0.13/0.38 % Drodi V4.1.1
% 0.13/0.41 % Refutation found
% 0.13/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.43 % Elapsed time: 0.067822 seconds
% 0.13/0.43 % CPU time: 0.231937 seconds
% 0.13/0.43 % Total memory used: 68.834 MB
% 0.13/0.43 % Net memory used: 68.591 MB
%------------------------------------------------------------------------------