%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PLA008-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.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 01:58:31 PM UTC 2026
% Result : Unsatisfiable 1.23s 0.72s
% Output : CNFRefutation 1.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 28
% Syntax : Number of formulae : 120 ( 36 unt; 0 def)
% Number of atoms : 456 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 726 ( 390 ~; 336 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 183 ( 183 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,State] :
( ~ holds(Y,State)
| ~ holds(X,State)
| holds(and(X,Y),State) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X,Y] :
( ~ differ(Y,X)
| differ(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
differ(a,b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
differ(a,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
differ(a,table),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
differ(b,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,axiom,
differ(b,table),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,axiom,
differ(c,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
differ(c,table),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,axiom,
differ(d,table),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f30,axiom,
! [State] : holds(clear(table),State),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [State] : ~ holds(and(on(b,d),on(a,c)),State),
file('/export/starexec/sandbox2/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(f53,plain,
differ(a,b),
inference(cnf_transformation,[status(thm)],[f12]) ).
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(f57,plain,
differ(b,c),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f58,plain,
differ(b,d),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f59,plain,
differ(b,table),
inference(cnf_transformation,[status(thm)],[f18]) ).
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(f68,plain,
holds(clear(b),s0),
inference(cnf_transformation,[status(thm)],[f27]) ).
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(b,d),on(a,c)),X0),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f73,plain,
! [X0] :
( ~ holds(on(a,c),X0)
| ~ holds(on(b,d),X0) ),
inference(resolution,[status(thm)],[f72,f33]) ).
fof(f74,plain,
! [X0,X1,X2] :
( ~ holds(on(a,c),do(putdown(X1,X2),X0))
| ~ holds(on(b,d),X0) ),
inference(resolution,[status(thm)],[f49,f73]) ).
fof(f77,plain,
! [X0,X1,X2] :
( ~ differ(X0,table)
| ~ holds(clear(X0),X2)
| ~ holds(empty,X2)
| ~ holds(clear(X1),do(pickup(X0),X2))
| holds(on(X0,X1),do(putdown(X0,X1),do(pickup(X0),X2))) ),
inference(resolution,[status(thm)],[f45,f35]) ).
fof(f79,plain,
! [X0] :
( ~ holds(on(b,d),do(pickup(a),X0))
| ~ differ(a,table)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),do(pickup(a),X0)) ),
inference(resolution,[status(thm)],[f77,f74]) ).
fof(f81,plain,
! [X0] :
( ~ holds(on(b,d),do(pickup(a),X0))
| ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),do(pickup(a),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f79,f56]) ).
fof(f83,plain,
! [X0] :
( ~ differ(b,a)
| ~ holds(on(b,d),X0)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),do(pickup(a),X0)) ),
inference(resolution,[status(thm)],[f81,f39]) ).
fof(f84,plain,
! [X0] :
( ~ differ(a,b)
| ~ holds(on(b,d),X0)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),do(pickup(a),X0)) ),
inference(resolution,[status(thm)],[f83,f52]) ).
fof(f85,plain,
! [X0] :
( ~ holds(on(b,d),X0)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),do(pickup(a),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f84,f53]) ).
fof(f86,plain,
! [X0] :
( ~ differ(c,a)
| ~ holds(clear(c),X0)
| ~ holds(on(b,d),X0)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0) ),
inference(resolution,[status(thm)],[f85,f41]) ).
fof(f89,plain,
! [X0] :
( ~ differ(a,c)
| ~ holds(clear(c),X0)
| ~ holds(on(b,d),X0)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0) ),
inference(resolution,[status(thm)],[f86,f52]) ).
fof(f90,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(on(b,d),X0)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f89,f54]) ).
fof(f91,plain,
! [X0,X1,X2] :
( ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2)
| ~ holds(clear(c),do(putdown(X0,X1),X2))
| ~ holds(on(b,d),do(putdown(X0,X1),X2))
| ~ holds(clear(a),do(putdown(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f90,f43]) ).
fof(f105,plain,
! [X0,X1,X2] :
( ~ differ(X0,table)
| ~ holds(clear(X0),X2)
| ~ holds(empty,X2)
| ~ holds(clear(X1),do(pickup(X0),X2))
| ~ holds(clear(c),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(on(b,d),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(a),do(putdown(X0,X1),do(pickup(X0),X2))) ),
inference(resolution,[status(thm)],[f91,f35]) ).
fof(f107,plain,
! [X0] :
( ~ differ(b,table)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(pickup(b),X0))
| ~ differ(b,table)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(pickup(b),X0))
| ~ holds(clear(c),do(putdown(b,d),do(pickup(b),X0)))
| ~ holds(clear(a),do(putdown(b,d),do(pickup(b),X0))) ),
inference(resolution,[status(thm)],[f105,f77]) ).
fof(f111,plain,
! [X0] :
( ~ differ(b,table)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(pickup(b),X0))
| ~ holds(clear(c),do(putdown(b,d),do(pickup(b),X0)))
| ~ holds(clear(a),do(putdown(b,d),do(pickup(b),X0))) ),
inference(duplicate_literals_removal,[status(thm)],[f107]) ).
fof(f112,plain,
! [X0] :
( ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(pickup(b),X0))
| ~ holds(clear(c),do(putdown(b,d),do(pickup(b),X0)))
| ~ holds(clear(a),do(putdown(b,d),do(pickup(b),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f111,f59]) ).
fof(f115,plain,
! [X0] :
( ~ differ(c,d)
| ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(pickup(b),X0))
| ~ holds(clear(a),do(putdown(b,d),do(pickup(b),X0))) ),
inference(resolution,[status(thm)],[f112,f51]) ).
fof(f116,plain,
! [X0] :
( ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(pickup(b),X0))
| ~ holds(clear(a),do(putdown(b,d),do(pickup(b),X0))) ),
inference(forward_subsumption_resolution,[status(thm)],[f115,f60]) ).
fof(f117,plain,
! [X0] :
( ~ differ(a,d)
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(pickup(b),X0)) ),
inference(resolution,[status(thm)],[f116,f51]) ).
fof(f118,plain,
! [X0] :
( ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(pickup(b),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f117,f55]) ).
fof(f119,plain,
! [X0] :
( ~ differ(d,b)
| ~ holds(clear(d),X0)
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(empty,X0) ),
inference(resolution,[status(thm)],[f118,f41]) ).
fof(f151,plain,
! [X0] :
( ~ differ(b,d)
| ~ holds(clear(d),X0)
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(empty,X0) ),
inference(resolution,[status(thm)],[f119,f52]) ).
fof(f152,plain,
! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(empty,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f151,f58]) ).
fof(f153,plain,
! [X0] :
( ~ differ(c,b)
| ~ holds(clear(c),X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(empty,X0) ),
inference(resolution,[status(thm)],[f152,f41]) ).
fof(f167,plain,
! [X0] :
( ~ differ(b,c)
| ~ holds(clear(c),X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(empty,X0) ),
inference(resolution,[status(thm)],[f153,f52]) ).
fof(f168,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(empty,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f167,f57]) ).
fof(f169,plain,
! [X0] :
( ~ differ(a,b)
| ~ holds(clear(a),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0) ),
inference(resolution,[status(thm)],[f168,f41]) ).
fof(f171,plain,
! [X0] :
( ~ holds(clear(a),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f169,f53]) ).
fof(f173,plain,
! [X0,X1,X2] :
( ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2)
| ~ holds(clear(a),do(putdown(X0,X1),X2))
| ~ holds(clear(c),do(putdown(X0,X1),X2))
| ~ holds(clear(d),do(putdown(X0,X1),X2))
| ~ holds(clear(b),do(putdown(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f171,f43]) ).
fof(f182,plain,
! [X0,X1,X2] :
( ~ differ(X0,table)
| ~ holds(clear(X0),X2)
| ~ holds(empty,X2)
| ~ holds(clear(X1),do(pickup(X0),X2))
| ~ holds(clear(a),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(c),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(d),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(b),do(putdown(X0,X1),do(pickup(X0),X2))) ),
inference(resolution,[status(thm)],[f173,f35]) ).
fof(f402,plain,
! [X0,X1] :
( ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(holding(c),do(pickup(c),X1))
| ~ differ(c,table)
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))
| ~ holds(clear(d),do(putdown(c,X0),do(pickup(c),X1)))
| ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1))) ),
inference(resolution,[status(thm)],[f182,f47]) ).
fof(f406,plain,
! [X0,X1] :
( ~ holds(holding(c),do(pickup(c),X1))
| ~ differ(c,table)
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))
| ~ holds(clear(d),do(putdown(c,X0),do(pickup(c),X1)))
| ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1))) ),
inference(duplicate_literals_removal,[status(thm)],[f402]) ).
fof(f407,plain,
! [X0,X1] :
( ~ holds(holding(c),do(pickup(c),X1))
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))
| ~ holds(clear(d),do(putdown(c,X0),do(pickup(c),X1)))
| ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[f406,f61]) ).
fof(f469,plain,
! [X0,X1] :
( ~ differ(c,table)
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))
| ~ holds(clear(d),do(putdown(c,X0),do(pickup(c),X1)))
| ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1))) ),
inference(resolution,[status(thm)],[f407,f35]) ).
fof(f470,plain,
! [X0,X1] :
( ~ differ(c,table)
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))
| ~ holds(clear(d),do(putdown(c,X0),do(pickup(c),X1)))
| ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1))) ),
inference(duplicate_literals_removal,[status(thm)],[f469]) ).
fof(f471,plain,
! [X0,X1] :
( ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))
| ~ holds(clear(d),do(putdown(c,X0),do(pickup(c),X1)))
| ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1))) ),
inference(forward_subsumption_resolution,[status(thm)],[f470,f61]) ).
fof(f472,plain,
! [X0,X1] :
( ~ differ(d,X0)
| ~ holds(clear(d),do(pickup(c),X1))
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))
| ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1))) ),
inference(resolution,[status(thm)],[f471,f51]) ).
fof(f473,plain,
! [X0,X1] :
( ~ differ(b,X0)
| ~ holds(clear(b),do(pickup(c),X1))
| ~ differ(d,X0)
| ~ holds(clear(d),do(pickup(c),X1))
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(clear(a),do(putdown(c,X0),do(pickup(c),X1))) ),
inference(resolution,[status(thm)],[f472,f51]) ).
fof(f474,plain,
! [X0,X1] :
( ~ differ(a,X0)
| ~ holds(clear(a),do(pickup(c),X1))
| ~ differ(b,X0)
| ~ holds(clear(b),do(pickup(c),X1))
| ~ differ(d,X0)
| ~ holds(clear(d),do(pickup(c),X1))
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1)) ),
inference(resolution,[status(thm)],[f473,f51]) ).
fof(f484,plain,
! [X0,X1] :
( ~ holds(empty,X1)
| ~ holds(clear(c),X1)
| ~ holds(on(c,d),X1)
| ~ differ(a,X0)
| ~ holds(clear(a),do(pickup(c),X1))
| ~ differ(b,X0)
| ~ holds(clear(b),do(pickup(c),X1))
| ~ differ(d,X0)
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1)) ),
inference(resolution,[status(thm)],[f474,f37]) ).
fof(f485,plain,
! [X0,X1] :
( ~ holds(on(c,d),X1)
| ~ differ(a,X0)
| ~ holds(clear(a),do(pickup(c),X1))
| ~ differ(b,X0)
| ~ holds(clear(b),do(pickup(c),X1))
| ~ differ(d,X0)
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1)) ),
inference(duplicate_literals_removal,[status(thm)],[f484]) ).
fof(f486,plain,
! [X0,X1] :
( ~ differ(b,c)
| ~ holds(clear(b),X1)
| ~ holds(on(c,d),X1)
| ~ differ(a,X0)
| ~ holds(clear(a),do(pickup(c),X1))
| ~ differ(b,X0)
| ~ differ(d,X0)
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1)) ),
inference(resolution,[status(thm)],[f485,f41]) ).
fof(f488,plain,
! [X0,X1] :
( ~ holds(clear(b),X1)
| ~ holds(on(c,d),X1)
| ~ differ(a,X0)
| ~ holds(clear(a),do(pickup(c),X1))
| ~ differ(b,X0)
| ~ differ(d,X0)
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f486,f57]) ).
fof(f490,plain,
! [X0,X1] :
( ~ differ(a,c)
| ~ holds(clear(a),X1)
| ~ holds(clear(b),X1)
| ~ holds(on(c,d),X1)
| ~ differ(a,X0)
| ~ differ(b,X0)
| ~ differ(d,X0)
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1)) ),
inference(resolution,[status(thm)],[f488,f41]) ).
fof(f492,plain,
! [X0,X1] :
( ~ holds(clear(a),X1)
| ~ holds(clear(b),X1)
| ~ holds(on(c,d),X1)
| ~ differ(a,X0)
| ~ differ(b,X0)
| ~ differ(d,X0)
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f490,f54]) ).
fof(f494,plain,
! [X0] :
( ~ holds(clear(a),X0)
| ~ holds(clear(b),X0)
| ~ holds(on(c,d),X0)
| ~ differ(a,table)
| ~ differ(b,table)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(table),do(pickup(c),X0)) ),
inference(resolution,[status(thm)],[f492,f62]) ).
fof(f496,plain,
! [X0] :
( ~ holds(clear(a),X0)
| ~ holds(clear(b),X0)
| ~ holds(on(c,d),X0)
| ~ differ(a,table)
| ~ differ(b,table)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f494,f71]) ).
fof(f497,plain,
! [X0] :
( ~ holds(clear(a),X0)
| ~ holds(clear(b),X0)
| ~ holds(on(c,d),X0)
| ~ differ(a,table)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0) ),
inference(resolution,[status(thm)],[f496,f59]) ).
fof(f499,plain,
! [X0] :
( ~ holds(clear(a),X0)
| ~ holds(clear(b),X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f497,f56]) ).
fof(f501,plain,
( ~ holds(clear(a),s0)
| ~ holds(clear(b),s0)
| ~ holds(on(c,d),s0)
| ~ holds(clear(c),s0) ),
inference(resolution,[status(thm)],[f499,f70]) ).
fof(f502,plain,
( ~ holds(clear(a),s0)
| ~ holds(clear(b),s0)
| ~ holds(on(c,d),s0) ),
inference(forward_subsumption_resolution,[status(thm)],[f501,f69]) ).
fof(f515,plain,
( ~ holds(clear(a),s0)
| ~ holds(clear(b),s0) ),
inference(resolution,[status(thm)],[f502,f65]) ).
fof(f517,plain,
~ holds(clear(a),s0),
inference(forward_subsumption_resolution,[status(thm)],[f515,f68]) ).
fof(f518,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f67,f517]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA008-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n008.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
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 03:32:24 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.37 % Drodi V4.1.1
% 1.23/0.72 % Refutation found
% 1.23/0.72 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.23/0.72 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.07/0.75 % Elapsed time: 0.370414 seconds
% 1.07/0.75 % CPU time: 2.678927 seconds
% 1.07/0.75 % Total memory used: 139.869 MB
% 1.07/0.75 % Net memory used: 128.600 MB
%------------------------------------------------------------------------------