%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN192-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 03:15:26 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.40s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 38 ( 12 unt; 0 def)
% Number of atoms : 75 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 78 ( 41 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X] : p0(b,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,axiom,
n0(e,e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
n0(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [G,H] :
( ~ n0(H,G)
| l1(G,G) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f104,axiom,
! [G,H] :
( ~ n0(H,G)
| p1(G,G,G) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f213,axiom,
! [F,G] :
( ~ l1(G,F)
| p2(F,F,F) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f219,axiom,
! [I] :
( ~ p1(I,I,I)
| q2(I,I,I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f278,axiom,
! [D,E,F] :
( ~ p2(E,F,D)
| n3(D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f293,axiom,
! [G,H,I] :
( ~ n0(I,G)
| ~ q2(I,G,H)
| q3(G,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f336,axiom,
! [G,H,I,J] :
( ~ p0(J,G)
| ~ q3(H,I)
| ~ n3(G)
| r4(G) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ r4(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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(f406,plain,
n0(b,a),
inference(cnf_transformation,[status(thm)],[f37]) ).
fof(f410,plain,
! [G] :
( ! [H] : ~ n0(H,G)
| l1(G,G) ),
inference(miniscoping,[status(thm)],[f40]) ).
fof(f411,plain,
! [X0,X1] :
( ~ n0(X1,X0)
| l1(X0,X0) ),
inference(cnf_transformation,[status(thm)],[f410]) ).
fof(f513,plain,
! [G] :
( ! [H] : ~ n0(H,G)
| p1(G,G,G) ),
inference(miniscoping,[status(thm)],[f104]) ).
fof(f514,plain,
! [X0,X1] :
( ~ n0(X1,X0)
| p1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f513]) ).
fof(f683,plain,
! [F] :
( ! [G] : ~ l1(G,F)
| p2(F,F,F) ),
inference(miniscoping,[status(thm)],[f213]) ).
fof(f684,plain,
! [X0,X1] :
( ~ l1(X1,X0)
| p2(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f683]) ).
fof(f692,plain,
! [X0] :
( ~ p1(X0,X0,X0)
| q2(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f219]) ).
fof(f778,plain,
! [D] :
( ! [E,F] : ~ p2(E,F,D)
| n3(D) ),
inference(miniscoping,[status(thm)],[f278]) ).
fof(f779,plain,
! [X0,X1,X2] :
( ~ p2(X1,X2,X0)
| n3(X0) ),
inference(cnf_transformation,[status(thm)],[f778]) ).
fof(f801,plain,
! [G,I] :
( ~ n0(I,G)
| ! [H] :
( ~ q2(I,G,H)
| q3(G,H) ) ),
inference(miniscoping,[status(thm)],[f293]) ).
fof(f802,plain,
! [X0,X1,X2] :
( ~ n0(X2,X0)
| ~ q2(X2,X0,X1)
| q3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f801]) ).
fof(f871,plain,
! [G] :
( ! [J] : ~ p0(J,G)
| ! [H,I] : ~ q3(H,I)
| ~ n3(G)
| r4(G) ),
inference(miniscoping,[status(thm)],[f336]) ).
fof(f872,plain,
! [X0,X1,X2,X3] :
( ~ p0(X3,X0)
| ~ q3(X1,X2)
| ~ n3(X0)
| r4(X0) ),
inference(cnf_transformation,[status(thm)],[f871]) ).
fof(f924,plain,
~ r4(a),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f976,plain,
! [X0,X1] :
( n3(X1)
| ~ l1(X0,X1) ),
inference(resolution,[status(thm)],[f684,f779]) ).
fof(f980,plain,
! [X0,X1] :
( ~ n0(X1,X0)
| n3(X0) ),
inference(resolution,[status(thm)],[f976,f411]) ).
fof(f981,plain,
n3(a),
inference(resolution,[status(thm)],[f980,f406]) ).
fof(f989,plain,
! [X0,X1,X2] :
( ~ p0(X2,a)
| ~ q3(X0,X1)
| r4(a) ),
inference(resolution,[status(thm)],[f981,f872]) ).
fof(f990,plain,
! [X0,X1,X2] :
( ~ p0(X2,a)
| ~ q3(X0,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[f989,f924]) ).
fof(f1207,plain,
! [X0] :
( ~ p1(X0,X0,X0)
| ~ n0(X0,X0)
| q3(X0,X0) ),
inference(resolution,[status(thm)],[f802,f692]) ).
fof(f1209,plain,
! [X0] :
( ~ n0(X0,X0)
| q3(X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1207,f514]) ).
fof(f1210,plain,
q3(e,e),
inference(resolution,[status(thm)],[f1209,f399]) ).
fof(f1213,plain,
! [X0] : ~ p0(X0,a),
inference(resolution,[status(thm)],[f1210,f990]) ).
fof(f1216,plain,
$false,
inference(resolution,[status(thm)],[f1213,f383]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN192-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.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 10:50:08 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.40 % Refutation found
% 0.09/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.09/0.42 % Elapsed time: 0.056021 seconds
% 0.09/0.42 % CPU time: 0.209410 seconds
% 0.09/0.42 % Total memory used: 70.794 MB
% 0.09/0.42 % Net memory used: 70.605 MB
%------------------------------------------------------------------------------