%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN299-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 03:15:41 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.41s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 12 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 69 ( 38 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f14,axiom,
! [X] : p0(b,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
n0(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
m0(b,a,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(f163,axiom,
! [I] :
( ~ p0(I,I)
| s1(I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f224,axiom,
! [G,H] :
( ~ l1(H,G)
| q2(G,G,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f227,axiom,
! [H] :
( ~ s1(b)
| ~ q2(b,H,b)
| s2(H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f311,axiom,
! [I,J,A,B] :
( ~ m0(A,B,J)
| ~ s2(I)
| ~ q2(A,I,A)
| s3(I,J) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ s3(b,a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f383,plain,
! [X0] : p0(b,X0),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f384,plain,
n0(a,b),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f407,plain,
m0(b,a,a),
inference(cnf_transformation,[status(thm)],[f38]) ).
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(f607,plain,
! [X0] :
( ~ p0(X0,X0)
| s1(X0) ),
inference(cnf_transformation,[status(thm)],[f163]) ).
fof(f699,plain,
! [X0,X1] :
( ~ l1(X1,X0)
| q2(X0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f224]) ).
fof(f703,plain,
( ~ s1(b)
| ! [H] :
( ~ q2(b,H,b)
| s2(H) ) ),
inference(miniscoping,[status(thm)],[f227]) ).
fof(f704,plain,
! [X0] :
( ~ s1(b)
| ~ q2(b,X0,b)
| s2(X0) ),
inference(cnf_transformation,[status(thm)],[f703]) ).
fof(f830,plain,
! [J,A] :
( ! [B] : ~ m0(A,B,J)
| ! [I] :
( ~ s2(I)
| ~ q2(A,I,A)
| s3(I,J) ) ),
inference(miniscoping,[status(thm)],[f311]) ).
fof(f831,plain,
! [X0,X1,X2,X3] :
( ~ m0(X2,X3,X1)
| ~ s2(X0)
| ~ q2(X2,X0,X2)
| s3(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f830]) ).
fof(f924,plain,
~ s3(b,a),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f1050,plain,
! [X0] :
( ~ p0(b,b)
| ~ q2(b,X0,b)
| s2(X0) ),
inference(resolution,[status(thm)],[f704,f607]) ).
fof(f1051,plain,
! [X0] :
( ~ q2(b,X0,b)
| s2(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1050,f383]) ).
fof(f1090,plain,
! [X0,X1,X2,X3] :
( ~ m0(X2,X3,X1)
| ~ q2(X2,X0,X2)
| s3(X0,X1)
| ~ q2(b,X0,b) ),
inference(resolution,[status(thm)],[f1051,f831]) ).
fof(f1092,plain,
! [X0,X1] :
( ~ m0(X0,X1,a)
| ~ q2(X0,b,X0)
| ~ q2(b,b,b) ),
inference(resolution,[status(thm)],[f1090,f924]) ).
fof(f1095,plain,
( ~ q2(b,b,b)
| ~ q2(b,b,b) ),
inference(resolution,[status(thm)],[f1092,f407]) ).
fof(f1099,plain,
~ q2(b,b,b),
inference(duplicate_literals_removal,[status(thm)],[f1095]) ).
fof(f1108,plain,
~ l1(b,b),
inference(resolution,[status(thm)],[f1099,f699]) ).
fof(f1112,plain,
! [X0] : ~ n0(X0,b),
inference(resolution,[status(thm)],[f1108,f411]) ).
fof(f1114,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f384,f1112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN299-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 10:48:17 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.10/0.41 % Refutation found
% 0.10/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.44 % Elapsed time: 0.068078 seconds
% 0.10/0.44 % CPU time: 0.191735 seconds
% 0.10/0.44 % Total memory used: 51.064 MB
% 0.10/0.44 % Net memory used: 50.941 MB
%------------------------------------------------------------------------------