%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PUZ042-1 : TPTP v9.3.1. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n018.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 01:59:58 PM UTC 2026
% Result : Unsatisfiable 0.70s 0.67s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 12 unt; 0 def)
% Number of atoms : 36 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 9 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-12 aty)
% Number of functors : 14 ( 14 usr; 1 con; 0-2 aty)
% Number of variables : 168 ( 168 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [B,V1,V2,V3,V4,H,X,Y,S2,S3,S4,E2] :
( state(B,V1,V2,V3,V4,H,s1(s(X),Y),S2,S3,S4,e1(X,Y),E2)
| ~ state(B,V1,V2,V3,V4,H,s1(X,Y),S2,S3,S4,e1(s(X),Y),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [B,V1,V2,V3,V4,H,S1,X,Y,S3,S4,E2] :
( state(B,V1,V2,V3,V4,H,S1,s2(s(X),Y),S3,S4,e1(X,Y),E2)
| ~ state(B,V1,V2,V3,V4,H,S1,s2(X,Y),S3,S4,e1(s(X),Y),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [B,V1,V2,V3,V4,H,S1,S2,X,Y,S4,E2] :
( state(B,V1,V2,V3,V4,H,S1,S2,s3(X,Y),S4,e1(X,s(Y)),E2)
| ~ state(B,V1,V2,V3,V4,H,S1,S2,s3(X,s(Y)),S4,e1(X,Y),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [B,V1,V2,V3,V4,H,S1,S2,S3,X,Y,E2] :
( state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,s(Y)),e1(X,Y),E2)
| ~ state(B,V1,V2,V3,V4,H,S1,S2,S3,s4(X,Y),e1(X,s(Y)),E2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,axiom,
! [B,V1,V2,V3,V4,X,Y,S1,S2,S3,S4] :
( state(B,V1,V2,V3,V4,h(s(X),Y),S1,S2,S3,S4,e1(X,Y),e2(X,s(Y)))
| ~ state(B,V1,V2,V3,V4,h(X,Y),S1,S2,S3,S4,e1(s(X),Y),e2(s(X),s(Y))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [B,V1,V2,V3,V4,H,S1,S2,S3,S4,X,Y,Q,W] :
( state(B,V1,V2,V3,V4,H,S1,S2,S3,S4,e1(Q,W),e2(X,Y))
| ~ state(B,V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(Q,W)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,hypothesis,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
! [B,V1,V2,V3,V4,S1,S2,S3,S4,E1,E2] : ~ state(B,V1,V2,V3,V4,h(s(s(s(o))),s(o)),S1,S2,S3,S4,E1,E2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f46,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,X2,X3,X4,X5,s1(s(X6),X7),X8,X9,X10,e1(X6,X7),X11)
| ~ state(X0,X1,X2,X3,X4,X5,s1(X6,X7),X8,X9,X10,e1(s(X6),X7),X11) ),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f50,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,X2,X3,X4,X5,X6,s2(s(X7),X8),X9,X10,e1(X7,X8),X11)
| ~ state(X0,X1,X2,X3,X4,X5,X6,s2(X7,X8),X9,X10,e1(s(X7),X8),X11) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f53,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,X2,X3,X4,X5,X6,X7,s3(X8,X9),X10,e1(X8,s(X9)),X11)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,s3(X8,s(X9)),X10,e1(X8,X9),X11) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f56,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
( state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(X9,s(X10)),e1(X9,X10),X11)
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,s4(X9,X10),e1(X9,s(X10)),X11) ),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f78,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
( state(X0,X1,X2,X3,X4,h(s(X5),X6),X7,X8,X9,X10,e1(X5,X6),e2(X5,s(X6)))
| ~ state(X0,X1,X2,X3,X4,h(X5,X6),X7,X8,X9,X10,e1(s(X5),X6),e2(s(X5),s(X6))) ),
inference(cnf_transformation,[status(thm)],[f35]) ).
fof(f84,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13] :
( state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,e1(X12,X13),e2(X10,X11))
| ~ state(X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,e1(X10,X11),e2(X12,X13)) ),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f85,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f86,plain,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] : ~ state(X0,X1,X2,X3,X4,h(s(s(s(o))),s(o)),X5,X6,X7,X8,X9,X10),
inference(cnf_transformation,[status(thm)],[f43]) ).
fof(f88,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),
inference(resolution,[status(thm)],[f85,f53]) ).
fof(f106,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(s(s(o))))),
inference(resolution,[status(thm)],[f88,f46]) ).
fof(f118,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(s(s(s(o))),s(o))),
inference(resolution,[status(thm)],[f106,f84]) ).
fof(f181,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(s(o)))),s(s(o))),e2(s(s(s(o))),s(o))),
inference(resolution,[status(thm)],[f118,f56]) ).
fof(f373,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(s(o))),e2(s(s(s(o))),s(o))),
inference(resolution,[status(thm)],[f181,f50]) ).
fof(f612,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(s(o))),s(o)),e2(s(s(s(o))),s(s(o)))),
inference(resolution,[status(thm)],[f373,f84]) ).
fof(f924,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(s(o))),s(o)),s1(s(s(s(s(o)))),s(o)),s2(s(s(s(s(o)))),s(s(o))),s3(s(s(s(s(o)))),o),s4(s(s(s(s(o)))),s(s(s(o)))),e1(s(s(o)),s(o)),e2(s(s(o)),s(s(o)))),
inference(resolution,[status(thm)],[f612,f78]) ).
fof(f927,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f924,f86]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ042-1 : TPTP v9.3.1. Released v2.4.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n018.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 03:48:59 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 0.70/0.67 % Refutation found
% 0.70/0.67 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.70/0.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.29/0.70 % Elapsed time: 0.316811 seconds
% 0.29/0.70 % CPU time: 2.132126 seconds
% 0.29/0.70 % Total memory used: 126.833 MB
% 0.29/0.70 % Net memory used: 126.302 MB
%------------------------------------------------------------------------------