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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : PUZ040-1 : TPTP v9.3.1. Bugfixed v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n012.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 0.08s 0.34s
% Output   : CNFRefutation 0.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   48 (  24 unt;   0 def)
%            Number of atoms       :   72 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   50 (  26   ~;  24   |;   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   :  310 ( 310   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2,axiom,
    ! [B,V1,V2,V3,V4,H,X,Y,S2,S3,S4,E2] :
      ( state(B,V1,V2,V3,V4,H,s1(X,Y),S2,S3,S4,e1(X,s(Y)),E2)
      | ~ state(B,V1,V2,V3,V4,H,s1(X,s(Y)),S2,S3,S4,e1(X,Y),E2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

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(f4,axiom,
    ! [B,V1,V2,V3,V4,H,X,Y,S2,S3,S4,E2] :
      ( state(B,V1,V2,V3,V4,H,s1(X,Y),S2,S3,S4,e1(s(X),Y),E2)
      | ~ state(B,V1,V2,V3,V4,H,s1(s(X),Y),S2,S3,S4,e1(X,Y),E2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f12,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(s(X),Y),E2)
      | ~ state(B,V1,V2,V3,V4,H,S1,S2,s3(s(X),Y),S4,e1(X,Y),E2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    ! [B,X,Y,V2,V3,V4,H,S1,S2,S3,S4,E2] :
      ( state(B,v1(s(X),Y),V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),E2)
      | ~ state(B,v1(X,Y),V2,V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,axiom,
    ! [B,X,Y,V2,V3,V4,H,S1,S2,S3,S4,E2] :
      ( state(B,v1(X,Y),V2,V3,V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2)
      | ~ state(B,v1(s(X),Y),V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),E2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f25,axiom,
    ! [B,V1,V2,X,Y,V4,H,S1,S2,S3,S4] :
      ( state(B,V1,V2,v3(X,s(Y)),V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),Y))
      | ~ state(B,V1,V2,v3(X,Y),V4,H,S1,S2,S3,S4,e1(X,s(Y)),e2(s(X),s(Y))) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f27,axiom,
    ! [B,V1,V2,X,Y,V4,H,S1,S2,S3,S4,E2] :
      ( state(B,V1,V2,v3(s(X),Y),V4,H,S1,S2,S3,S4,e1(X,Y),E2)
      | ~ state(B,V1,V2,v3(X,Y),V4,H,S1,S2,S3,S4,e1(s(s(X)),Y),E2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f31,axiom,
    ! [B,V1,V2,V3,X,Y,H,S1,S2,S3,S4,E2] :
      ( state(B,V1,V2,V3,v4(s(X),Y),H,S1,S2,S3,S4,e1(X,Y),E2)
      | ~ state(B,V1,V2,V3,v4(X,Y),H,S1,S2,S3,S4,e1(s(s(X)),Y),E2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f33,axiom,
    ! [B,V1,V2,V3,V4,X,Y,S1,S2,S3,S4,E2] :
      ( state(B,V1,V2,V3,V4,h(X,s(Y)),S1,S2,S3,S4,e1(X,Y),E2)
      | ~ state(B,V1,V2,V3,V4,h(X,Y),S1,S2,S3,S4,e1(X,s(s(Y))),E2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f38,axiom,
    ! [X,Y,V1,V2,V3,V4,H,S1,S2,S3,S4] :
      ( state(bb(X,Y),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,s(s(Y))),e2(s(X),s(s(Y))))
      | ~ state(bb(X,s(Y)),V1,V2,V3,V4,H,S1,S2,S3,S4,e1(X,Y),e2(s(X),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,
    ! [V1,V2,V3,V4,H,S1,S2,S3,S4,E1,E2] : ~ state(bb(o,o),V1,V2,V3,V4,H,S1,S2,S3,S4,E1,E2),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f45,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( state(X0,X1,X2,X3,X4,X5,s1(X6,X7),X8,X9,X10,e1(X6,s(X7)),X11)
      | ~ state(X0,X1,X2,X3,X4,X5,s1(X6,s(X7)),X8,X9,X10,e1(X6,X7),X11) ),
    inference(cnf_transformation,[status(thm)],[f2]) ).

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(f47,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( state(X0,X1,X2,X3,X4,X5,s1(X6,X7),X8,X9,X10,e1(s(X6),X7),X11)
      | ~ state(X0,X1,X2,X3,X4,X5,s1(s(X6),X7),X8,X9,X10,e1(X6,X7),X11) ),
    inference(cnf_transformation,[status(thm)],[f4]) ).

fof(f55,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(s(X8),X9),X11)
      | ~ state(X0,X1,X2,X3,X4,X5,X6,X7,s3(s(X8),X9),X10,e1(X8,X9),X11) ),
    inference(cnf_transformation,[status(thm)],[f12]) ).

fof(f62,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( state(X0,v1(s(X1),X2),X3,X4,X5,X6,X7,X8,X9,X10,e1(X1,X2),X11)
      | ~ state(X0,v1(X1,X2),X3,X4,X5,X6,X7,X8,X9,X10,e1(s(s(X1)),X2),X11) ),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f63,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( state(X0,v1(X1,X2),X3,X4,X5,X6,X7,X8,X9,X10,e1(s(s(X1)),X2),X11)
      | ~ state(X0,v1(s(X1),X2),X3,X4,X5,X6,X7,X8,X9,X10,e1(X1,X2),X11) ),
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f68,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( state(X0,X1,X2,v3(X3,s(X4)),X5,X6,X7,X8,X9,X10,e1(X3,X4),e2(s(X3),X4))
      | ~ state(X0,X1,X2,v3(X3,X4),X5,X6,X7,X8,X9,X10,e1(X3,s(X4)),e2(s(X3),s(X4))) ),
    inference(cnf_transformation,[status(thm)],[f25]) ).

fof(f70,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( state(X0,X1,X2,v3(s(X3),X4),X5,X6,X7,X8,X9,X10,e1(X3,X4),X11)
      | ~ state(X0,X1,X2,v3(X3,X4),X5,X6,X7,X8,X9,X10,e1(s(s(X3)),X4),X11) ),
    inference(cnf_transformation,[status(thm)],[f27]) ).

fof(f74,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( state(X0,X1,X2,X3,v4(s(X4),X5),X6,X7,X8,X9,X10,e1(X4,X5),X11)
      | ~ state(X0,X1,X2,X3,v4(X4,X5),X6,X7,X8,X9,X10,e1(s(s(X4)),X5),X11) ),
    inference(cnf_transformation,[status(thm)],[f31]) ).

fof(f76,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11] :
      ( state(X0,X1,X2,X3,X4,h(X5,s(X6)),X7,X8,X9,X10,e1(X5,X6),X11)
      | ~ state(X0,X1,X2,X3,X4,h(X5,X6),X7,X8,X9,X10,e1(X5,s(s(X6))),X11) ),
    inference(cnf_transformation,[status(thm)],[f33]) ).

fof(f81,plain,
    ! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10] :
      ( state(bb(X0,X1),X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X0,s(s(X1))),e2(s(X0),s(s(X1))))
      | ~ state(bb(X0,s(X1)),X2,X3,X4,X5,X6,X7,X8,X9,X10,e1(X0,X1),e2(s(X0),X1)) ),
    inference(cnf_transformation,[status(thm)],[f38]) ).

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(bb(o,o),X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10),
    inference(cnf_transformation,[status(thm)],[f43]) ).

fof(f87,plain,
    state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(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(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),
    inference(resolution,[status(thm)],[f85,f70]) ).

fof(f90,plain,
    state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(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(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),
    inference(resolution,[status(thm)],[f87,f62]) ).

fof(f95,plain,
    state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(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)))),s(s(s(o)))),e2(o,o)),
    inference(resolution,[status(thm)],[f90,f84]) ).

fof(f96,plain,
    state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(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(o)),s(s(s(o)))),e2(o,o)),
    inference(resolution,[status(thm)],[f95,f74]) ).

fof(f101,plain,
    state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(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(o)),s(o)),e2(o,o)),
    inference(resolution,[status(thm)],[f96,f76]) ).

fof(f110,plain,
    state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(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(o))),s(o)),e2(o,o)),
    inference(resolution,[status(thm)],[f101,f47]) ).

fof(f119,plain,
    state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(o,o)),
    inference(resolution,[status(thm)],[f110,f55]) ).

fof(f131,plain,
    state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(o))),
    inference(resolution,[status(thm)],[f119,f84]) ).

fof(f145,plain,
    state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o))),
    inference(resolution,[status(thm)],[f131,f63]) ).

fof(f249,plain,
    state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(o))),
    inference(resolution,[status(thm)],[f145,f45]) ).

fof(f356,plain,
    state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))),
    inference(resolution,[status(thm)],[f249,f55]) ).

fof(f487,plain,
    state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),o)),
    inference(resolution,[status(thm)],[f356,f68]) ).

fof(f492,plain,
    state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),
    inference(resolution,[status(thm)],[f487,f46]) ).

fof(f497,plain,
    state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),o)),
    inference(resolution,[status(thm)],[f492,f62]) ).

fof(f502,plain,
    state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(o,o)),
    inference(resolution,[status(thm)],[f497,f84]) ).

fof(f503,plain,
    state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(o,o)),
    inference(resolution,[status(thm)],[f502,f46]) ).

fof(f509,plain,
    state(bb(o,s(o)),v1(s(s(o)),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),o),e2(o,o)),
    inference(resolution,[status(thm)],[f503,f62]) ).

fof(f513,plain,
    state(bb(o,s(o)),v1(s(s(o)),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(o),o)),
    inference(resolution,[status(thm)],[f509,f84]) ).

fof(f514,plain,
    state(bb(o,o),v1(s(s(o)),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(o))),e2(s(o),s(s(o)))),
    inference(resolution,[status(thm)],[f513,f81]) ).

fof(f516,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[f514,f86]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : PUZ040-1 : TPTP v9.3.1. Bugfixed v2.6.0.
% 0.00/0.02  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29  % Computer : n012.cluster.edu
% 0.03/0.29  % Model    : x86_64 x86_64
% 0.03/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29  % Memory   : 8046.5625MB
% 0.03/0.29  % OS       : Linux 6.8.0-71-generic
% 0.03/0.30  % CPULimit : 300
% 0.03/0.30  % WCLimit  : 300
% 0.03/0.30  % DateTime : Mon Sep 21 03:46:07 UTC 2026
% 0.03/0.30  % CPUTime  : 
% 0.03/0.30  % Drodi V4.1.1
% 0.08/0.34  % Refutation found
% 0.08/0.34  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.34  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.35  % Elapsed time: 0.053853 seconds
% 0.08/0.35  % CPU time: 0.215487 seconds
% 0.08/0.35  % Total memory used: 65.826 MB
% 0.08/0.35  % Net memory used: 65.716 MB
%------------------------------------------------------------------------------