%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN183-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 03:15:25 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.41s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 22 ( 6 unt; 0 def)
% Number of atoms : 38 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 35 ( 19 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f28,axiom,
k0(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f106,axiom,
! [D] :
( ~ k0(D)
| p1(D,D,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f175,axiom,
! [A,B,C] :
( ~ p1(B,C,A)
| n2(A) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f282,axiom,
! [H] :
( ~ n2(H)
| p3(H,H,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f315,axiom,
! [J,A,B] :
( ~ p3(A,B,J)
| l4(J) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f362,axiom,
! [I] :
( ~ l4(I)
| q5(I,I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ q5(e,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f397,plain,
k0(e),
inference(cnf_transformation,[status(thm)],[f28]) ).
fof(f517,plain,
! [X0] :
( ~ k0(X0)
| p1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f106]) ).
fof(f626,plain,
! [A] :
( ! [B,C] : ~ p1(B,C,A)
| n2(A) ),
inference(miniscoping,[status(thm)],[f175]) ).
fof(f627,plain,
! [X0,X1,X2] :
( ~ p1(X1,X2,X0)
| n2(X0) ),
inference(cnf_transformation,[status(thm)],[f626]) ).
fof(f784,plain,
! [X0] :
( ~ n2(X0)
| p3(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f282]) ).
fof(f836,plain,
! [J] :
( ! [A,B] : ~ p3(A,B,J)
| l4(J) ),
inference(miniscoping,[status(thm)],[f315]) ).
fof(f837,plain,
! [X0,X1,X2] :
( ~ p3(X1,X2,X0)
| l4(X0) ),
inference(cnf_transformation,[status(thm)],[f836]) ).
fof(f914,plain,
! [X0] :
( ~ l4(X0)
| q5(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f362]) ).
fof(f924,plain,
~ q5(e,e),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f937,plain,
! [X0] :
( ~ k0(X0)
| n2(X0) ),
inference(resolution,[status(thm)],[f627,f517]) ).
fof(f939,plain,
! [X0] :
( ~ n2(X0)
| l4(X0) ),
inference(resolution,[status(thm)],[f837,f784]) ).
fof(f940,plain,
! [X0] :
( q5(X0,X0)
| ~ n2(X0) ),
inference(resolution,[status(thm)],[f939,f914]) ).
fof(f941,plain,
! [X0] :
( ~ k0(X0)
| q5(X0,X0) ),
inference(resolution,[status(thm)],[f940,f937]) ).
fof(f942,plain,
~ k0(e),
inference(resolution,[status(thm)],[f941,f924]) ).
fof(f943,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f942,f397]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN183-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n011.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 10:45:40 UTC 2026
% 0.08/0.36 % 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: 0.065761 seconds
% 0.13/0.43 % CPU time: 0.176164 seconds
% 0.13/0.43 % Total memory used: 69.892 MB
% 0.13/0.43 % Net memory used: 69.731 MB
%------------------------------------------------------------------------------