%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN219-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : 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 03:15:30 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 11
% Syntax : Number of formulae : 38 ( 14 unt; 0 def)
% Number of atoms : 98 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 123 ( 63 ~; 60 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 66 ( 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f11,axiom,
n0(e,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] : p0(b,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X] : q0(X,d),
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(f53,axiom,
! [B,C,D] :
( ~ m0(C,C,B)
| ~ l0(D)
| m1(B,C,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f163,axiom,
! [I] :
( ~ p0(I,I)
| s1(I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f164,axiom,
! [F,G,H] :
( ~ s1(H)
| ~ q0(F,G)
| s1(F) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f169,axiom,
! [D,E] :
( ~ l2(E,E)
| ~ n0(e,E)
| ~ s1(D)
| l2(D,E) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f172,axiom,
! [G,H,I] :
( ~ p0(H,G)
| ~ m1(I,H,H)
| ~ m0(H,G,I)
| l2(G,G) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ l2(e,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f380,plain,
n0(e,b),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f383,plain,
! [X0] : p0(b,X0),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f386,plain,
! [X0] : q0(X0,d),
inference(cnf_transformation,[status(thm)],[f17]) ).
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(f432,plain,
! [B,C] :
( ~ m0(C,C,B)
| ! [D] : ~ l0(D)
| m1(B,C,C) ),
inference(miniscoping,[status(thm)],[f53]) ).
fof(f433,plain,
! [X0,X1,X2] :
( ~ m0(X1,X1,X0)
| ~ l0(X2)
| m1(X0,X1,X1) ),
inference(cnf_transformation,[status(thm)],[f432]) ).
fof(f607,plain,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f608,plain,
( ! [H] : ~ s1(H)
| ! [F] :
( ! [G] : ~ q0(F,G)
| s1(F) ) ),
inference(miniscoping,[status(thm)],[f164]) ).
fof(f609,plain,
! [X0,X1,X2] :
( ~ s1(X2)
| ~ q0(X0,X1)
| s1(X0) ),
inference(cnf_transformation,[status(thm)],[f608]) ).
fof(f616,plain,
! [E] :
( ~ l2(E,E)
| ~ n0(e,E)
| ! [D] :
( ~ s1(D)
| l2(D,E) ) ),
inference(miniscoping,[status(thm)],[f169]) ).
fof(f617,plain,
! [X0,X1] :
( ~ l2(X1,X1)
| ~ n0(e,X1)
| ~ s1(X0)
| l2(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f616]) ).
fof(f621,plain,
! [G,H] :
( ~ p0(H,G)
| ! [I] :
( ~ m1(I,H,H)
| ~ m0(H,G,I)
| l2(G,G) ) ),
inference(miniscoping,[status(thm)],[f172]) ).
fof(f622,plain,
! [X0,X1,X2] :
( ~ p0(X1,X0)
| ~ m1(X2,X1,X1)
| ~ m0(X1,X0,X2)
| l2(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f621]) ).
fof(f924,plain,
~ l2(e,b),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f1009,plain,
! [X0,X1,X2,X3] :
( ~ p0(X2,X1)
| ~ m1(X3,X2,X2)
| ~ m0(X2,X1,X3)
| ~ n0(e,X1)
| ~ s1(X0)
| l2(X0,X1) ),
inference(resolution,[status(thm)],[f617,f622]) ).
fof(f1015,plain,
! [X0,X1,X2] :
( ~ p0(X1,b)
| ~ m1(X2,X1,X1)
| ~ m0(X1,b,X2)
| ~ s1(X0)
| l2(X0,b) ),
inference(resolution,[status(thm)],[f1009,f380]) ).
fof(f1018,plain,
! [X0,X1] :
( ~ m1(X1,b,b)
| ~ m0(b,b,X1)
| ~ s1(X0)
| l2(X0,b) ),
inference(resolution,[status(thm)],[f1015,f383]) ).
fof(f1028,plain,
! [X0] :
( ~ m1(e,b,b)
| ~ s1(X0)
| l2(X0,b) ),
inference(resolution,[status(thm)],[f1018,f400]) ).
fof(f1029,plain,
! [X0,X1,X2] :
( ~ s1(X2)
| ~ q0(X0,X1)
| ~ m1(e,b,b)
| l2(X0,b) ),
inference(resolution,[status(thm)],[f1028,f609]) ).
fof(f1035,plain,
! [X0,X1,X2] :
( ~ p0(X2,X2)
| ~ q0(X0,X1)
| ~ m1(e,b,b)
| l2(X0,b) ),
inference(resolution,[status(thm)],[f1029,f607]) ).
fof(f1058,plain,
! [X0,X1] :
( ~ q0(X0,X1)
| ~ m1(e,b,b)
| l2(X0,b) ),
inference(resolution,[status(thm)],[f1035,f383]) ).
fof(f1082,plain,
! [X0,X1,X2] :
( ~ m0(b,b,e)
| ~ l0(X2)
| ~ q0(X0,X1)
| l2(X0,b) ),
inference(resolution,[status(thm)],[f1058,f433]) ).
fof(f1083,plain,
! [X0,X1,X2] :
( ~ l0(X2)
| ~ q0(X0,X1)
| l2(X0,b) ),
inference(forward_subsumption_resolution,[status(thm)],[f1082,f400]) ).
fof(f1084,plain,
! [X0,X1] :
( ~ q0(X0,X1)
| l2(X0,b) ),
inference(resolution,[status(thm)],[f1083,f393]) ).
fof(f1086,plain,
! [X0] : ~ q0(e,X0),
inference(resolution,[status(thm)],[f1084,f924]) ).
fof(f1090,plain,
$false,
inference(resolution,[status(thm)],[f1086,f386]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN219-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n009.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 10:46:12 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.44 % Elapsed time: 0.071798 seconds
% 0.13/0.44 % CPU time: 0.133969 seconds
% 0.13/0.44 % Total memory used: 16.551 MB
% 0.13/0.44 % Net memory used: 16.426 MB
%------------------------------------------------------------------------------