%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN300-1 : 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 03:15:41 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.41s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 12 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 85 ( 47 ~; 38 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 53 ( 53 !; 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(f19,axiom,
! [X,Y] : m0(X,d,Y),
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,d),
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(f388,plain,
! [X0,X1] : m0(X0,d,X1),
inference(cnf_transformation,[status(thm)],[f19]) ).
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,d),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f995,plain,
! [X0,X1,X2,X3] :
( ~ m0(X2,X3,X1)
| ~ q2(X2,X0,X2)
| s3(X0,X1)
| ~ s1(b)
| ~ q2(b,X0,b) ),
inference(resolution,[status(thm)],[f704,f831]) ).
fof(f997,plain,
! [X0,X1,X2,X3] :
( ~ p0(b,b)
| ~ m0(X2,X3,X1)
| ~ q2(X2,X0,X2)
| s3(X0,X1)
| ~ q2(b,X0,b) ),
inference(resolution,[status(thm)],[f995,f607]) ).
fof(f998,plain,
! [X0,X1,X2,X3] :
( ~ m0(X2,X3,X1)
| ~ q2(X2,X0,X2)
| s3(X0,X1)
| ~ q2(b,X0,b) ),
inference(forward_subsumption_resolution,[status(thm)],[f997,f383]) ).
fof(f1000,plain,
! [X0,X1] :
( ~ m0(X0,X1,d)
| ~ q2(X0,b,X0)
| ~ q2(b,b,b) ),
inference(resolution,[status(thm)],[f998,f924]) ).
fof(f1001,plain,
! [X0] :
( ~ q2(X0,b,X0)
| ~ q2(b,b,b) ),
inference(resolution,[status(thm)],[f1000,f388]) ).
fof(f1010,plain,
! [X0] :
( ~ l1(b,b)
| ~ q2(X0,b,X0) ),
inference(resolution,[status(thm)],[f1001,f699]) ).
fof(f1014,plain,
! [X0,X1] :
( ~ n0(X1,b)
| ~ q2(X0,b,X0) ),
inference(resolution,[status(thm)],[f1010,f411]) ).
fof(f1034,plain,
! [X0] : ~ q2(X0,b,X0),
inference(resolution,[status(thm)],[f1014,f384]) ).
fof(f1045,plain,
~ l1(b,b),
inference(resolution,[status(thm)],[f1034,f699]) ).
fof(f1050,plain,
! [X0] : ~ n0(X0,b),
inference(resolution,[status(thm)],[f1045,f411]) ).
fof(f1052,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f384,f1050]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN300-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n016.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 10:53:08 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.15/0.37 % Drodi V4.1.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.43 % Elapsed time: 0.074923 seconds
% 0.15/0.43 % CPU time: 0.247747 seconds
% 0.15/0.43 % Total memory used: 70.971 MB
% 0.15/0.43 % Net memory used: 70.713 MB
%------------------------------------------------------------------------------