%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN033-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n014.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 03:14:57 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 25 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 0 con; 1-2 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : p(g(A,B),A,B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : p(A,h(A,B),B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B,C,D,E,F] :
( p(F,E,C)
| ~ p(A,D,F)
| ~ p(D,E,B)
| ~ p(A,B,C) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [A] : ~ p(k(A),A,k(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [X0,X1] : p(g(X0,X1),X0,X1),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f6,plain,
! [X0,X1] : p(X0,h(X0,X1),X1),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f7,plain,
! [C,E,F] :
( p(F,E,C)
| ! [A,D] :
( ~ p(A,D,F)
| ! [B] :
( ~ p(D,E,B)
| ~ p(A,B,C) ) ) ),
inference(miniscoping,[status(thm)],[f3]) ).
fof(f8,plain,
! [X0,X1,X2,X3,X4,X5] :
( p(X5,X4,X2)
| ~ p(X0,X3,X5)
| ~ p(X3,X4,X1)
| ~ p(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f9,plain,
! [X0] : ~ p(k(X0),X0,k(X0)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f12,plain,
! [X0,X1,X2,X3,X4] :
( p(X1,X4,X3)
| ~ p(X0,X4,X2)
| ~ p(g(X0,X1),X2,X3) ),
inference(resolution,[status(thm)],[f5,f8]) ).
fof(f14,plain,
! [X0,X1,X2] :
( p(X2,X1,X2)
| ~ p(X0,X1,X0) ),
inference(resolution,[status(thm)],[f12,f5]) ).
fof(f17,plain,
! [X0,X1] : p(X0,h(X1,X1),X0),
inference(resolution,[status(thm)],[f6,f14]) ).
fof(f23,plain,
$false,
inference(resolution,[status(thm)],[f17,f9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN033-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n014.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 10:39:20 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.045381 seconds
% 0.13/0.41 % CPU time: 0.133956 seconds
% 0.13/0.41 % Total memory used: 55.285 MB
% 0.13/0.41 % Net memory used: 54.706 MB
%------------------------------------------------------------------------------