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Drodi---4.1.1.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : Drodi---4.1.1
% Problem  : PLA023-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : 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 01:58:34 PM UTC 2026

% Result   : Unsatisfiable 0.17s 0.70s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   39
%            Number of leaves      :   23
% Syntax   : Number of formulae    :   96 (  29 unt;   0 def)
%            Number of atoms       :  295 (   0 equ)
%            Maximal formula atoms :    9 (   3 avg)
%            Number of connectives :  436 ( 237   ~; 199   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   5 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-2 aty)
%            Number of variables   :  154 ( 154   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X,Y,State] :
      ( ~ holds(Y,State)
      | ~ holds(X,State)
      | holds(and(X,Y),State) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f2,axiom,
    ! [X,State] :
      ( ~ differ(X,table)
      | ~ holds(clear(X),State)
      | ~ holds(empty,State)
      | holds(holding(X),do(pickup(X),State)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f3,axiom,
    ! [Y,X,State] :
      ( ~ holds(empty,State)
      | ~ holds(clear(X),State)
      | ~ holds(on(X,Y),State)
      | holds(clear(Y),do(pickup(X),State)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f4,axiom,
    ! [X,Y,Z,State] :
      ( ~ differ(X,Z)
      | ~ holds(on(X,Y),State)
      | holds(on(X,Y),do(pickup(Z),State)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f5,axiom,
    ! [X,Z,State] :
      ( ~ differ(X,Z)
      | ~ holds(clear(X),State)
      | holds(clear(X),do(pickup(Z),State)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [X,Y,State] :
      ( ~ holds(clear(Y),State)
      | ~ holds(holding(X),State)
      | holds(empty,do(putdown(X,Y),State)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [X,Y,State] :
      ( ~ holds(clear(Y),State)
      | ~ holds(holding(X),State)
      | holds(on(X,Y),do(putdown(X,Y),State)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [X,Y,State] :
      ( ~ holds(clear(Y),State)
      | ~ holds(holding(X),State)
      | holds(clear(X),do(putdown(X,Y),State)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f9,axiom,
    ! [X,Y,Z,W,State] :
      ( ~ holds(on(X,Y),State)
      | holds(on(X,Y),do(putdown(Z,W),State)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f10,axiom,
    ! [Z,X,Y,State] :
      ( ~ differ(Z,Y)
      | ~ holds(clear(Z),State)
      | holds(clear(Z),do(putdown(X,Y),State)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f11,axiom,
    ! [X,Y] :
      ( ~ differ(Y,X)
      | differ(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f13,axiom,
    differ(a,c),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f14,axiom,
    differ(a,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f15,axiom,
    differ(a,table),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f19,axiom,
    differ(c,d),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f20,axiom,
    differ(c,table),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f21,axiom,
    differ(d,table),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f24,axiom,
    holds(on(c,d),s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f26,axiom,
    holds(clear(a),s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f28,axiom,
    holds(clear(c),s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f29,axiom,
    holds(empty,s0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f30,axiom,
    ! [State] : holds(clear(table),State),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f31,negated_conjecture,
    ! [State] : ~ holds(and(on(d,a),on(a,c)),State),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f32,plain,
    ! [Y,State] :
      ( ~ holds(Y,State)
      | ! [X] :
          ( ~ holds(X,State)
          | holds(and(X,Y),State) ) ),
    inference(miniscoping,[status(thm)],[f1]) ).

fof(f33,plain,
    ! [X0,X1,X2] :
      ( ~ holds(X1,X2)
      | ~ holds(X0,X2)
      | holds(and(X0,X1),X2) ),
    inference(cnf_transformation,[status(thm)],[f32]) ).

fof(f34,plain,
    ! [X] :
      ( ~ differ(X,table)
      | ! [State] :
          ( ~ holds(clear(X),State)
          | ~ holds(empty,State)
          | holds(holding(X),do(pickup(X),State)) ) ),
    inference(miniscoping,[status(thm)],[f2]) ).

fof(f35,plain,
    ! [X0,X1] :
      ( ~ differ(X0,table)
      | ~ holds(clear(X0),X1)
      | ~ holds(empty,X1)
      | holds(holding(X0),do(pickup(X0),X1)) ),
    inference(cnf_transformation,[status(thm)],[f34]) ).

fof(f36,plain,
    ! [State] :
      ( ~ holds(empty,State)
      | ! [X] :
          ( ~ holds(clear(X),State)
          | ! [Y] :
              ( ~ holds(on(X,Y),State)
              | holds(clear(Y),do(pickup(X),State)) ) ) ),
    inference(miniscoping,[status(thm)],[f3]) ).

fof(f37,plain,
    ! [X0,X1,X2] :
      ( ~ holds(empty,X2)
      | ~ holds(clear(X1),X2)
      | ~ holds(on(X1,X0),X2)
      | holds(clear(X0),do(pickup(X1),X2)) ),
    inference(cnf_transformation,[status(thm)],[f36]) ).

fof(f38,plain,
    ! [X,Z] :
      ( ~ differ(X,Z)
      | ! [Y,State] :
          ( ~ holds(on(X,Y),State)
          | holds(on(X,Y),do(pickup(Z),State)) ) ),
    inference(miniscoping,[status(thm)],[f4]) ).

fof(f39,plain,
    ! [X0,X1,X2,X3] :
      ( ~ differ(X0,X2)
      | ~ holds(on(X0,X1),X3)
      | holds(on(X0,X1),do(pickup(X2),X3)) ),
    inference(cnf_transformation,[status(thm)],[f38]) ).

fof(f40,plain,
    ! [X,Z] :
      ( ~ differ(X,Z)
      | ! [State] :
          ( ~ holds(clear(X),State)
          | holds(clear(X),do(pickup(Z),State)) ) ),
    inference(miniscoping,[status(thm)],[f5]) ).

fof(f41,plain,
    ! [X0,X1,X2] :
      ( ~ differ(X0,X1)
      | ~ holds(clear(X0),X2)
      | holds(clear(X0),do(pickup(X1),X2)) ),
    inference(cnf_transformation,[status(thm)],[f40]) ).

fof(f42,plain,
    ! [Y,State] :
      ( ~ holds(clear(Y),State)
      | ! [X] :
          ( ~ holds(holding(X),State)
          | holds(empty,do(putdown(X,Y),State)) ) ),
    inference(miniscoping,[status(thm)],[f6]) ).

fof(f43,plain,
    ! [X0,X1,X2] :
      ( ~ holds(clear(X1),X2)
      | ~ holds(holding(X0),X2)
      | holds(empty,do(putdown(X0,X1),X2)) ),
    inference(cnf_transformation,[status(thm)],[f42]) ).

fof(f44,plain,
    ! [Y,State] :
      ( ~ holds(clear(Y),State)
      | ! [X] :
          ( ~ holds(holding(X),State)
          | holds(on(X,Y),do(putdown(X,Y),State)) ) ),
    inference(miniscoping,[status(thm)],[f7]) ).

fof(f45,plain,
    ! [X0,X1,X2] :
      ( ~ holds(clear(X1),X2)
      | ~ holds(holding(X0),X2)
      | holds(on(X0,X1),do(putdown(X0,X1),X2)) ),
    inference(cnf_transformation,[status(thm)],[f44]) ).

fof(f46,plain,
    ! [Y,State] :
      ( ~ holds(clear(Y),State)
      | ! [X] :
          ( ~ holds(holding(X),State)
          | holds(clear(X),do(putdown(X,Y),State)) ) ),
    inference(miniscoping,[status(thm)],[f8]) ).

fof(f47,plain,
    ! [X0,X1,X2] :
      ( ~ holds(clear(X1),X2)
      | ~ holds(holding(X0),X2)
      | holds(clear(X0),do(putdown(X0,X1),X2)) ),
    inference(cnf_transformation,[status(thm)],[f46]) ).

fof(f48,plain,
    ! [X,Y,State] :
      ( ~ holds(on(X,Y),State)
      | ! [Z,W] : holds(on(X,Y),do(putdown(Z,W),State)) ),
    inference(miniscoping,[status(thm)],[f9]) ).

fof(f49,plain,
    ! [X0,X1,X2,X3,X4] :
      ( ~ holds(on(X0,X1),X4)
      | holds(on(X0,X1),do(putdown(X2,X3),X4)) ),
    inference(cnf_transformation,[status(thm)],[f48]) ).

fof(f50,plain,
    ! [Z,Y] :
      ( ~ differ(Z,Y)
      | ! [State] :
          ( ~ holds(clear(Z),State)
          | ! [X] : holds(clear(Z),do(putdown(X,Y),State)) ) ),
    inference(miniscoping,[status(thm)],[f10]) ).

fof(f51,plain,
    ! [X0,X1,X2,X3] :
      ( ~ differ(X0,X2)
      | ~ holds(clear(X0),X3)
      | holds(clear(X0),do(putdown(X1,X2),X3)) ),
    inference(cnf_transformation,[status(thm)],[f50]) ).

fof(f52,plain,
    ! [X0,X1] :
      ( ~ differ(X1,X0)
      | differ(X0,X1) ),
    inference(cnf_transformation,[status(thm)],[f11]) ).

fof(f54,plain,
    differ(a,c),
    inference(cnf_transformation,[status(thm)],[f13]) ).

fof(f55,plain,
    differ(a,d),
    inference(cnf_transformation,[status(thm)],[f14]) ).

fof(f56,plain,
    differ(a,table),
    inference(cnf_transformation,[status(thm)],[f15]) ).

fof(f60,plain,
    differ(c,d),
    inference(cnf_transformation,[status(thm)],[f19]) ).

fof(f61,plain,
    differ(c,table),
    inference(cnf_transformation,[status(thm)],[f20]) ).

fof(f62,plain,
    differ(d,table),
    inference(cnf_transformation,[status(thm)],[f21]) ).

fof(f65,plain,
    holds(on(c,d),s0),
    inference(cnf_transformation,[status(thm)],[f24]) ).

fof(f67,plain,
    holds(clear(a),s0),
    inference(cnf_transformation,[status(thm)],[f26]) ).

fof(f69,plain,
    holds(clear(c),s0),
    inference(cnf_transformation,[status(thm)],[f28]) ).

fof(f70,plain,
    holds(empty,s0),
    inference(cnf_transformation,[status(thm)],[f29]) ).

fof(f71,plain,
    ! [X0] : holds(clear(table),X0),
    inference(cnf_transformation,[status(thm)],[f30]) ).

fof(f72,plain,
    ! [X0] : ~ holds(and(on(d,a),on(a,c)),X0),
    inference(cnf_transformation,[status(thm)],[f31]) ).

fof(f73,plain,
    ! [X0] :
      ( ~ holds(on(a,c),X0)
      | ~ holds(on(d,a),X0) ),
    inference(resolution,[status(thm)],[f33,f72]) ).

fof(f78,plain,
    ! [X0,X1,X2] :
      ( ~ holds(on(d,a),do(putdown(X1,X2),X0))
      | ~ holds(on(a,c),X0) ),
    inference(resolution,[status(thm)],[f49,f73]) ).

fof(f84,plain,
    differ(d,c),
    inference(resolution,[status(thm)],[f52,f60]) ).

fof(f87,plain,
    differ(d,a),
    inference(resolution,[status(thm)],[f52,f55]) ).

fof(f88,plain,
    differ(c,a),
    inference(resolution,[status(thm)],[f52,f54]) ).

fof(f95,plain,
    ! [X0] :
      ( ~ holds(clear(a),X0)
      | ~ holds(holding(d),X0)
      | ~ holds(on(a,c),X0) ),
    inference(resolution,[status(thm)],[f78,f45]) ).

fof(f98,plain,
    ! [X0,X1] :
      ( ~ differ(a,X0)
      | ~ holds(on(a,c),X1)
      | ~ holds(clear(a),do(pickup(X0),X1))
      | ~ holds(holding(d),do(pickup(X0),X1)) ),
    inference(resolution,[status(thm)],[f95,f39]) ).

fof(f110,plain,
    ! [X0] :
      ( ~ differ(d,table)
      | ~ holds(clear(d),X0)
      | ~ holds(empty,X0)
      | ~ differ(a,d)
      | ~ holds(on(a,c),X0)
      | ~ holds(clear(a),do(pickup(d),X0)) ),
    inference(resolution,[status(thm)],[f98,f35]) ).

fof(f111,plain,
    ! [X0] :
      ( ~ differ(d,table)
      | ~ holds(clear(d),X0)
      | ~ holds(empty,X0)
      | ~ holds(on(a,c),X0)
      | ~ holds(clear(a),do(pickup(d),X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f110,f55]) ).

fof(f121,plain,
    ! [X0] :
      ( ~ holds(clear(d),X0)
      | ~ holds(empty,X0)
      | ~ holds(on(a,c),X0)
      | ~ holds(clear(a),do(pickup(d),X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f111,f62]) ).

fof(f122,plain,
    ! [X0] :
      ( ~ differ(a,d)
      | ~ holds(clear(a),X0)
      | ~ holds(clear(d),X0)
      | ~ holds(empty,X0)
      | ~ holds(on(a,c),X0) ),
    inference(resolution,[status(thm)],[f121,f41]) ).

fof(f124,plain,
    ! [X0] :
      ( ~ holds(clear(a),X0)
      | ~ holds(clear(d),X0)
      | ~ holds(empty,X0)
      | ~ holds(on(a,c),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f122,f55]) ).

fof(f127,plain,
    ! [X0] :
      ( ~ holds(clear(c),X0)
      | ~ holds(holding(a),X0)
      | ~ holds(clear(a),do(putdown(a,c),X0))
      | ~ holds(clear(d),do(putdown(a,c),X0))
      | ~ holds(empty,do(putdown(a,c),X0)) ),
    inference(resolution,[status(thm)],[f124,f45]) ).

fof(f129,plain,
    ! [X0] :
      ( ~ holds(clear(c),X0)
      | ~ holds(holding(a),X0)
      | ~ holds(clear(a),do(putdown(a,c),X0))
      | ~ holds(clear(d),do(putdown(a,c),X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f127,f43]) ).

fof(f142,plain,
    ! [X0] :
      ( ~ holds(clear(c),X0)
      | ~ holds(holding(a),X0)
      | ~ holds(clear(d),do(putdown(a,c),X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f129,f47]) ).

fof(f143,plain,
    ! [X0] :
      ( ~ differ(d,c)
      | ~ holds(clear(d),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(holding(a),X0) ),
    inference(resolution,[status(thm)],[f142,f51]) ).

fof(f144,plain,
    ! [X0] :
      ( ~ holds(clear(d),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(holding(a),X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f143,f84]) ).

fof(f145,plain,
    ! [X0] :
      ( ~ differ(a,table)
      | ~ holds(clear(a),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(d),do(pickup(a),X0))
      | ~ holds(clear(c),do(pickup(a),X0)) ),
    inference(resolution,[status(thm)],[f144,f35]) ).

fof(f146,plain,
    ! [X0] :
      ( ~ holds(clear(a),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(d),do(pickup(a),X0))
      | ~ holds(clear(c),do(pickup(a),X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f145,f56]) ).

fof(f175,plain,
    ! [X0] :
      ( ~ differ(c,a)
      | ~ holds(clear(c),X0)
      | ~ holds(clear(a),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(d),do(pickup(a),X0)) ),
    inference(resolution,[status(thm)],[f146,f41]) ).

fof(f177,plain,
    ! [X0] :
      ( ~ holds(clear(c),X0)
      | ~ holds(clear(a),X0)
      | ~ holds(empty,X0)
      | ~ holds(clear(d),do(pickup(a),X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f175,f88]) ).

fof(f180,plain,
    ! [X0] :
      ( ~ differ(d,a)
      | ~ holds(clear(d),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(clear(a),X0)
      | ~ holds(empty,X0) ),
    inference(resolution,[status(thm)],[f177,f41]) ).

fof(f182,plain,
    ! [X0] :
      ( ~ holds(clear(d),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(clear(a),X0)
      | ~ holds(empty,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f180,f87]) ).

fof(f185,plain,
    ! [X0,X1,X2] :
      ( ~ differ(a,X1)
      | ~ holds(clear(a),X2)
      | ~ holds(clear(d),do(putdown(X0,X1),X2))
      | ~ holds(clear(c),do(putdown(X0,X1),X2))
      | ~ holds(empty,do(putdown(X0,X1),X2)) ),
    inference(resolution,[status(thm)],[f182,f51]) ).

fof(f238,plain,
    ! [X0,X1] :
      ( ~ holds(clear(X0),X1)
      | ~ holds(holding(c),X1)
      | ~ differ(a,X0)
      | ~ holds(clear(a),X1)
      | ~ holds(clear(d),do(putdown(c,X0),X1))
      | ~ holds(empty,do(putdown(c,X0),X1)) ),
    inference(resolution,[status(thm)],[f185,f47]) ).

fof(f239,plain,
    ! [X0,X1] :
      ( ~ holds(clear(X0),X1)
      | ~ holds(holding(c),X1)
      | ~ differ(a,X0)
      | ~ holds(clear(a),X1)
      | ~ holds(clear(d),do(putdown(c,X0),X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f238,f43]) ).

fof(f244,plain,
    ! [X0,X1] :
      ( ~ differ(d,X1)
      | ~ holds(clear(d),X0)
      | ~ holds(clear(X1),X0)
      | ~ holds(holding(c),X0)
      | ~ differ(a,X1)
      | ~ holds(clear(a),X0) ),
    inference(resolution,[status(thm)],[f239,f51]) ).

fof(f258,plain,
    ! [X0,X1] :
      ( ~ differ(c,table)
      | ~ holds(clear(c),X0)
      | ~ holds(empty,X0)
      | ~ differ(d,X1)
      | ~ holds(clear(d),do(pickup(c),X0))
      | ~ holds(clear(X1),do(pickup(c),X0))
      | ~ differ(a,X1)
      | ~ holds(clear(a),do(pickup(c),X0)) ),
    inference(resolution,[status(thm)],[f244,f35]) ).

fof(f259,plain,
    ! [X0,X1] :
      ( ~ holds(clear(c),X0)
      | ~ holds(empty,X0)
      | ~ differ(d,X1)
      | ~ holds(clear(d),do(pickup(c),X0))
      | ~ holds(clear(X1),do(pickup(c),X0))
      | ~ differ(a,X1)
      | ~ holds(clear(a),do(pickup(c),X0)) ),
    inference(forward_subsumption_resolution,[status(thm)],[f258,f61]) ).

fof(f484,plain,
    ! [X0,X1] :
      ( ~ differ(a,c)
      | ~ holds(clear(a),X1)
      | ~ holds(clear(c),X1)
      | ~ holds(empty,X1)
      | ~ differ(d,X0)
      | ~ holds(clear(d),do(pickup(c),X1))
      | ~ holds(clear(X0),do(pickup(c),X1))
      | ~ differ(a,X0) ),
    inference(resolution,[status(thm)],[f259,f41]) ).

fof(f486,plain,
    ! [X0,X1] :
      ( ~ holds(clear(a),X1)
      | ~ holds(clear(c),X1)
      | ~ holds(empty,X1)
      | ~ differ(d,X0)
      | ~ holds(clear(d),do(pickup(c),X1))
      | ~ holds(clear(X0),do(pickup(c),X1))
      | ~ differ(a,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f484,f54]) ).

fof(f588,plain,
    ! [X0,X1] :
      ( ~ holds(empty,X1)
      | ~ holds(clear(c),X1)
      | ~ holds(on(c,d),X1)
      | ~ holds(clear(a),X1)
      | ~ holds(clear(c),X1)
      | ~ holds(empty,X1)
      | ~ differ(d,X0)
      | ~ holds(clear(X0),do(pickup(c),X1))
      | ~ differ(a,X0) ),
    inference(resolution,[status(thm)],[f486,f37]) ).

fof(f589,plain,
    ! [X0,X1] :
      ( ~ holds(on(c,d),X1)
      | ~ holds(clear(a),X1)
      | ~ holds(clear(c),X1)
      | ~ holds(empty,X1)
      | ~ differ(d,X0)
      | ~ holds(clear(X0),do(pickup(c),X1))
      | ~ differ(a,X0) ),
    inference(duplicate_literals_removal,[status(thm)],[f588]) ).

fof(f590,plain,
    ! [X0] :
      ( ~ holds(on(c,d),X0)
      | ~ holds(clear(a),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(empty,X0)
      | ~ differ(d,table)
      | ~ differ(a,table) ),
    inference(resolution,[status(thm)],[f589,f71]) ).

fof(f593,plain,
    ! [X0] :
      ( ~ holds(on(c,d),X0)
      | ~ holds(clear(a),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(empty,X0)
      | ~ differ(d,table) ),
    inference(forward_subsumption_resolution,[status(thm)],[f590,f56]) ).

fof(f595,plain,
    ! [X0] :
      ( ~ holds(on(c,d),X0)
      | ~ holds(clear(a),X0)
      | ~ holds(clear(c),X0)
      | ~ holds(empty,X0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f593,f62]) ).

fof(f596,plain,
    ( ~ holds(clear(a),s0)
    | ~ holds(clear(c),s0)
    | ~ holds(empty,s0) ),
    inference(resolution,[status(thm)],[f595,f65]) ).

fof(f600,plain,
    ( ~ holds(clear(a),s0)
    | ~ holds(clear(c),s0) ),
    inference(forward_subsumption_resolution,[status(thm)],[f596,f70]) ).

fof(f619,plain,
    ~ holds(clear(a),s0),
    inference(forward_subsumption_resolution,[status(thm)],[f600,f69]) ).

fof(f620,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[f67,f619]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : PLA023-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.07  % Command  : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.43  % Computer : n018.cluster.edu
% 0.17/0.43  % Model    : x86_64 x86_64
% 0.17/0.43  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43  % Memory   : 8046.5625MB
% 0.17/0.43  % OS       : Linux 6.8.0-71-generic
% 0.17/0.43  % CPULimit : 300
% 0.17/0.43  % WCLimit  : 300
% 0.17/0.43  % DateTime : Mon Sep 21 03:34:13 UTC 2026
% 0.17/0.43  % CPUTime  : 
% 0.17/0.44  % Drodi V4.1.1
% 0.17/0.70  % Refutation found
% 0.17/0.70  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.70  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.75  % Elapsed time: 0.301687 seconds
% 0.17/0.75  % CPU time: 2.013497 seconds
% 0.17/0.75  % Total memory used: 99.124 MB
% 0.17/0.75  % Net memory used: 93.556 MB
%------------------------------------------------------------------------------