%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN294-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 03:15:40 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 13 unt; 0 def)
% Number of atoms : 51 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 57 ( 33 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 28 ( 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f13,axiom,
r0(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [X] : q0(X,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
n0(d,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [I,J] :
( ~ n0(J,I)
| k1(I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f72,axiom,
! [A,B] :
( ~ q0(A,A)
| ~ k1(B)
| ~ k1(a)
| m1(A,B,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f151,axiom,
! [H,I,J] :
( ~ m1(H,I,I)
| ~ r0(J)
| q1(H,H,I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ q1(d,d,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f382,plain,
r0(e),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f386,plain,
! [X0] : q0(X0,d),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f395,plain,
n0(d,c),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f406,plain,
n0(b,a),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f408,plain,
! [I] :
( ! [J] : ~ n0(J,I)
| k1(I) ),
inference(miniscoping,[status(thm)],[f39]) ).
fof(f409,plain,
! [X0,X1] :
( ~ n0(X1,X0)
| k1(X0) ),
inference(cnf_transformation,[status(thm)],[f408]) ).
fof(f462,plain,
! [A] :
( ~ q0(A,A)
| ! [B] :
( ~ k1(B)
| ~ k1(a)
| m1(A,B,B) ) ),
inference(miniscoping,[status(thm)],[f72]) ).
fof(f463,plain,
! [X0,X1] :
( ~ q0(X0,X0)
| ~ k1(X1)
| ~ k1(a)
| m1(X0,X1,X1) ),
inference(cnf_transformation,[status(thm)],[f462]) ).
fof(f588,plain,
! [H,I] :
( ~ m1(H,I,I)
| ! [J] : ~ r0(J)
| q1(H,H,I) ),
inference(miniscoping,[status(thm)],[f151]) ).
fof(f589,plain,
! [X0,X1,X2] :
( ~ m1(X0,X1,X1)
| ~ r0(X2)
| q1(X0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f588]) ).
fof(f924,plain,
~ q1(d,d,c),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f997,plain,
! [X0] :
( ~ m1(d,c,c)
| ~ r0(X0) ),
inference(resolution,[status(thm)],[f589,f924]) ).
fof(f998,plain,
~ m1(d,c,c),
inference(resolution,[status(thm)],[f997,f382]) ).
fof(f1000,plain,
( ~ q0(d,d)
| ~ k1(c)
| ~ k1(a) ),
inference(resolution,[status(thm)],[f998,f463]) ).
fof(f1003,plain,
( ~ k1(c)
| ~ k1(a) ),
inference(forward_subsumption_resolution,[status(thm)],[f1000,f386]) ).
fof(f1004,plain,
! [X0] :
( ~ n0(X0,c)
| ~ k1(a) ),
inference(resolution,[status(thm)],[f1003,f409]) ).
fof(f1013,plain,
! [X0,X1] :
( ~ n0(X1,a)
| ~ n0(X0,c) ),
inference(resolution,[status(thm)],[f1004,f409]) ).
fof(f1015,plain,
! [X0] : ~ n0(X0,a),
inference(resolution,[status(thm)],[f1013,f395]) ).
fof(f1017,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f406,f1015]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN294-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n014.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 10:47:50 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.39 % Refutation found
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.41 % Elapsed time: 0.063823 seconds
% 0.12/0.41 % CPU time: 0.196875 seconds
% 0.12/0.41 % Total memory used: 70.400 MB
% 0.12/0.41 % Net memory used: 70.223 MB
%------------------------------------------------------------------------------