%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN312-1 : TPTP v9.3.1. Bugfixed v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 03:15:42 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.52s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 35 ( 17 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 30 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 53 ( 53 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X,X3,X2,X1] :
( ~ p(X1,X3,X2)
| ~ p(X,X1,X2)
| p(X,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
! [X2,X1,X] :
( ~ p(X,X1,X2)
| p(X2,X1,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
! [X1,X,X2] :
( ~ p(X,X1,X2)
| p(X1,X,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
! [X,X1,X2] :
( ~ p(X,X1,X2)
| p(X,X1,f(X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
! [X,X1,X2] :
( ~ p(X,X1,X2)
| p(g(X),X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
p(a,f(b),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,negated_conjecture,
p(f(b),d,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,negated_conjecture,
~ p(f(g(a)),f(g(d)),f(g(c))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,plain,
! [X3,X2,X1] :
( ~ p(X1,X3,X2)
| ! [X] :
( ~ p(X,X1,X2)
| p(X,X3,X2) ) ),
inference(miniscoping,[status(thm)],[f1]) ).
fof(f10,plain,
! [X0,X1,X2,X3] :
( ~ p(X3,X1,X2)
| ~ p(X0,X3,X2)
| p(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f11,plain,
! [X0,X1,X2] :
( ~ p(X2,X1,X0)
| p(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f12,plain,
! [X0,X1,X2] :
( ~ p(X1,X0,X2)
| p(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f13,plain,
! [X0,X1,X2] :
( ~ p(X0,X1,X2)
| p(X0,X1,f(X2)) ),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ~ p(X0,X1,X2)
| p(g(X0),X1,X2) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f15,plain,
p(a,f(b),c),
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f16,plain,
p(f(b),d,c),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f17,plain,
~ p(f(g(a)),f(g(d)),f(g(c))),
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f18,plain,
p(f(b),a,c),
inference(resolution,[status(thm)],[f15,f12]) ).
fof(f21,plain,
! [X0] :
( ~ p(X0,f(b),c)
| p(X0,d,c) ),
inference(resolution,[status(thm)],[f16,f10]) ).
fof(f26,plain,
p(c,a,f(b)),
inference(resolution,[status(thm)],[f18,f11]) ).
fof(f37,plain,
p(a,c,f(b)),
inference(resolution,[status(thm)],[f26,f12]) ).
fof(f40,plain,
! [X0,X1,X2] :
( p(X1,X0,f(X2))
| ~ p(X0,X1,X2) ),
inference(resolution,[status(thm)],[f13,f12]) ).
fof(f43,plain,
! [X0,X1,X2] :
( p(X1,g(X0),X2)
| ~ p(X0,X1,X2) ),
inference(resolution,[status(thm)],[f14,f12]) ).
fof(f62,plain,
! [X0,X1,X2] :
( p(f(X2),X0,X1)
| ~ p(X0,X1,X2) ),
inference(resolution,[status(thm)],[f40,f11]) ).
fof(f68,plain,
~ p(f(g(a)),f(g(d)),g(c)),
inference(resolution,[status(thm)],[f17,f13]) ).
fof(f73,plain,
! [X0] :
( p(d,X0,c)
| ~ p(X0,f(b),c) ),
inference(resolution,[status(thm)],[f21,f12]) ).
fof(f77,plain,
! [X0,X1,X2] :
( p(X2,g(X0),X1)
| ~ p(X0,X1,X2) ),
inference(resolution,[status(thm)],[f43,f11]) ).
fof(f98,plain,
! [X0,X1,X2] :
( p(g(X0),X2,X1)
| ~ p(X0,X1,X2) ),
inference(resolution,[status(thm)],[f77,f12]) ).
fof(f112,plain,
~ p(f(g(d)),g(c),g(a)),
inference(resolution,[status(thm)],[f68,f62]) ).
fof(f185,plain,
~ p(g(c),g(a),g(d)),
inference(resolution,[status(thm)],[f112,f62]) ).
fof(f193,plain,
~ p(c,g(d),g(a)),
inference(resolution,[status(thm)],[f185,f98]) ).
fof(f201,plain,
~ p(d,g(a),c),
inference(resolution,[status(thm)],[f193,f77]) ).
fof(f207,plain,
~ p(g(a),f(b),c),
inference(resolution,[status(thm)],[f201,f73]) ).
fof(f336,plain,
~ p(a,c,f(b)),
inference(resolution,[status(thm)],[f207,f98]) ).
fof(f343,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f336,f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN312-1 : TPTP v9.3.1. Bugfixed v2.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n019.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 10:48:50 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 0.16/0.52 % Refutation found
% 0.16/0.52 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.52 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.53 % Elapsed time: 0.149464 seconds
% 0.16/0.53 % CPU time: 0.901962 seconds
% 0.16/0.53 % Total memory used: 73.725 MB
% 0.16/0.53 % Net memory used: 71.595 MB
%------------------------------------------------------------------------------