%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : SYN270-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 03:15:37 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.40s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 41 ( 14 unt; 0 def)
% Number of atoms : 85 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 99 ( 55 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 66 ( 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9,axiom,
r0(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [X] : p0(b,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f24,axiom,
l0(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f26,axiom,
n0(d,c),
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(f73,axiom,
! [I,J] :
( ~ l0(J)
| ~ r0(I)
| m1(I,J,I) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f123,axiom,
! [B,C] :
( ~ p0(C,B)
| p1(B,B,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f184,axiom,
! [C,D,E,F] :
( ~ p2(C,D,C)
| ~ l1(E,F)
| ~ p1(C,E,F)
| p2(C,D,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f214,axiom,
! [D,E] :
( ~ m1(E,D,E)
| p2(D,E,D) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f305,axiom,
! [B,C,D] :
( ~ p2(B,D,C)
| r3(B,C,B) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f323,axiom,
! [G,H] :
( ~ r3(H,G,H)
| ~ r0(G)
| p4(G,G,H) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f369,negated_conjecture,
~ p4(b,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f378,plain,
r0(b),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f383,plain,
! [X0] : p0(b,X0),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f393,plain,
l0(c),
inference(cnf_transformation,[status(thm)],[f24]) ).
fof(f395,plain,
n0(d,c),
inference(cnf_transformation,[status(thm)],[f26]) ).
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(f464,plain,
! [J] :
( ~ l0(J)
| ! [I] :
( ~ r0(I)
| m1(I,J,I) ) ),
inference(miniscoping,[status(thm)],[f73]) ).
fof(f465,plain,
! [X0,X1] :
( ~ l0(X1)
| ~ r0(X0)
| m1(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f464]) ).
fof(f544,plain,
! [B] :
( ! [C] : ~ p0(C,B)
| p1(B,B,B) ),
inference(miniscoping,[status(thm)],[f123]) ).
fof(f545,plain,
! [X0,X1] :
( ~ p0(X1,X0)
| p1(X0,X0,X0) ),
inference(cnf_transformation,[status(thm)],[f544]) ).
fof(f639,plain,
! [C,D] :
( ~ p2(C,D,C)
| ! [E,F] :
( ~ l1(E,F)
| ~ p1(C,E,F)
| p2(C,D,D) ) ),
inference(miniscoping,[status(thm)],[f184]) ).
fof(f640,plain,
! [X0,X1,X2,X3] :
( ~ p2(X0,X1,X0)
| ~ l1(X2,X3)
| ~ p1(X0,X2,X3)
| p2(X0,X1,X1) ),
inference(cnf_transformation,[status(thm)],[f639]) ).
fof(f685,plain,
! [X0,X1] :
( ~ m1(X1,X0,X1)
| p2(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f214]) ).
fof(f820,plain,
! [B,C] :
( ! [D] : ~ p2(B,D,C)
| r3(B,C,B) ),
inference(miniscoping,[status(thm)],[f305]) ).
fof(f821,plain,
! [X0,X1,X2] :
( ~ p2(X0,X2,X1)
| r3(X0,X1,X0) ),
inference(cnf_transformation,[status(thm)],[f820]) ).
fof(f850,plain,
! [X0,X1] :
( ~ r3(X1,X0,X1)
| ~ r0(X0)
| p4(X0,X0,X1) ),
inference(cnf_transformation,[status(thm)],[f323]) ).
fof(f924,plain,
~ p4(b,b,c),
inference(cnf_transformation,[status(thm)],[f369]) ).
fof(f925,plain,
! [X0] :
( ~ r3(X0,b,X0)
| p4(b,b,X0) ),
inference(resolution,[status(thm)],[f378,f850]) ).
fof(f971,plain,
! [X0,X1] :
( p4(b,b,X0)
| ~ p2(X0,X1,b) ),
inference(resolution,[status(thm)],[f821,f925]) ).
fof(f974,plain,
! [X0] : ~ p2(c,X0,b),
inference(resolution,[status(thm)],[f971,f924]) ).
fof(f1024,plain,
! [X0,X1] :
( ~ p2(c,b,c)
| ~ l1(X0,X1)
| ~ p1(c,X0,X1) ),
inference(resolution,[status(thm)],[f640,f974]) ).
fof(f1025,plain,
! [X0,X1] :
( ~ m1(b,c,b)
| ~ l1(X0,X1)
| ~ p1(c,X0,X1) ),
inference(resolution,[status(thm)],[f1024,f685]) ).
fof(f1028,plain,
! [X0,X1] :
( ~ n0(X1,X0)
| ~ m1(b,c,b)
| ~ p1(c,X0,X0) ),
inference(resolution,[status(thm)],[f1025,f411]) ).
fof(f1029,plain,
! [X0,X1] :
( ~ l0(c)
| ~ r0(b)
| ~ n0(X1,X0)
| ~ p1(c,X0,X0) ),
inference(resolution,[status(thm)],[f1028,f465]) ).
fof(f1034,plain,
! [X0,X1] :
( ~ l0(c)
| ~ n0(X1,X0)
| ~ p1(c,X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1029,f378]) ).
fof(f1037,plain,
! [X0,X1] :
( ~ n0(X1,X0)
| ~ p1(c,X0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1034,f393]) ).
fof(f1043,plain,
~ p1(c,c,c),
inference(resolution,[status(thm)],[f1037,f395]) ).
fof(f1067,plain,
! [X0] : ~ p0(X0,c),
inference(resolution,[status(thm)],[f1043,f545]) ).
fof(f1080,plain,
$false,
inference(resolution,[status(thm)],[f1067,f383]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN270-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n020.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 10:48:32 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.44 % Elapsed time: 0.066166 seconds
% 0.12/0.44 % CPU time: 0.212184 seconds
% 0.12/0.44 % Total memory used: 64.094 MB
% 0.12/0.44 % Net memory used: 63.911 MB
%------------------------------------------------------------------------------