%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN217-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n006.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 0.14s 0.42s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 15 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 82 ( 44 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 51 ( 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
s0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] : p0(b,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,axiom,
m0(b,b,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f32,axiom,
k0(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,axiom,
! [J,A] :
( ~ n0(A,A)
| ~ k0(J)
| m1(J,J,A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f54,axiom,
! [H,I,J,A] :
( ~ m1(J,A,I)
| ~ m1(J,I,H)
| m1(H,I,I) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f67,axiom,
! [H,I] :
( ~ s0(H)
| ~ p0(H,I)
| m1(H,I,H) ),
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(b,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f374,plain,
s0(b),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f383,plain,
! [X0] : p0(b,X0),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f399,plain,
n0(e,e),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f400,plain,
m0(b,b,e),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f401,plain,
k0(b),
inference(cnf_transformation,[status(thm)],[f32]) ).
fof(f425,plain,
! [A] :
( ~ n0(A,A)
| ! [J] :
( ~ k0(J)
| m1(J,J,A) ) ),
inference(miniscoping,[status(thm)],[f49]) ).
fof(f426,plain,
! [X0,X1] :
( ~ n0(X1,X1)
| ~ k0(X0)
| m1(X0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f425]) ).
fof(f434,plain,
! [I,J] :
( ! [A] : ~ m1(J,A,I)
| ! [H] :
( ~ m1(J,I,H)
| m1(H,I,I) ) ),
inference(miniscoping,[status(thm)],[f54]) ).
fof(f435,plain,
! [X0,X1,X2,X3] :
( ~ m1(X2,X3,X1)
| ~ m1(X2,X1,X0)
| m1(X0,X1,X1) ),
inference(cnf_transformation,[status(thm)],[f434]) ).
fof(f454,plain,
! [H] :
( ~ s0(H)
| ! [I] :
( ~ p0(H,I)
| m1(H,I,H) ) ),
inference(miniscoping,[status(thm)],[f67]) ).
fof(f455,plain,
! [X0,X1] :
( ~ s0(X0)
| ~ p0(X0,X1)
| m1(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f454]) ).
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(b,b),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f926,plain,
! [X0,X1] :
( ~ m1(X1,b,b)
| ~ m0(b,X0,X1)
| l2(X0,X0) ),
inference(resolution,[status(thm)],[f383,f622]) ).
fof(f942,plain,
! [X0] :
( ~ k0(X0)
| m1(X0,X0,e) ),
inference(resolution,[status(thm)],[f426,f399]) ).
fof(f949,plain,
! [X0,X1,X2,X3] :
( ~ m0(b,X3,X1)
| l2(X3,X3)
| ~ m1(X0,X2,b)
| ~ m1(X0,b,X1) ),
inference(resolution,[status(thm)],[f435,f926]) ).
fof(f952,plain,
! [X0,X1,X2] :
( ~ m0(b,b,X1)
| ~ m1(X0,X2,b)
| ~ m1(X0,b,X1) ),
inference(resolution,[status(thm)],[f949,f924]) ).
fof(f954,plain,
! [X0,X1] :
( ~ m1(X0,X1,b)
| ~ m1(X0,b,e) ),
inference(resolution,[status(thm)],[f952,f400]) ).
fof(f971,plain,
! [X0] :
( ~ p0(b,X0)
| m1(b,X0,b) ),
inference(resolution,[status(thm)],[f455,f374]) ).
fof(f973,plain,
! [X0] : m1(b,X0,b),
inference(forward_subsumption_resolution,[status(thm)],[f971,f383]) ).
fof(f984,plain,
! [X0] :
( ~ m1(b,X0,b)
| ~ k0(b) ),
inference(resolution,[status(thm)],[f942,f954]) ).
fof(f985,plain,
! [X0] : ~ m1(b,X0,b),
inference(forward_subsumption_resolution,[status(thm)],[f984,f401]) ).
fof(f986,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f985,f973]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN217-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n006.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Mon Sep 21 10:45:57 UTC 2026
% 0.11/0.36 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.42 % Refutation found
% 0.14/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.46 % Elapsed time: 0.088674 seconds
% 0.14/0.46 % CPU time: 0.241171 seconds
% 0.14/0.46 % Total memory used: 70.250 MB
% 0.14/0.46 % Net memory used: 70.074 MB
%------------------------------------------------------------------------------