%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PLA021-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n019.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 01:58:33 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.43s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 23
% Syntax : Number of formulae : 87 ( 32 unt; 0 def)
% Number of atoms : 236 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 327 ( 178 ~; 149 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 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 : 122 ( 122 !; 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(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(f12,axiom,
differ(a,b),
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(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
differ(b,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,axiom,
differ(b,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
differ(c,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(f27,axiom,
holds(clear(b),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(f31,negated_conjecture,
! [State] : ~ holds(and(on(b,d),on(c,a)),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(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(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(f61,plain,
differ(c,table),
inference(cnf_transformation,[status(thm)],[f20]) ).
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(f72,plain,
! [X0] : ~ holds(and(on(b,d),on(c,a)),X0),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f73,plain,
! [X0] :
( ~ holds(on(c,a),X0)
| ~ holds(on(b,d),X0) ),
inference(resolution,[status(thm)],[f33,f72]) ).
fof(f78,plain,
differ(d,b),
inference(resolution,[status(thm)],[f52,f58]) ).
fof(f79,plain,
differ(c,b),
inference(resolution,[status(thm)],[f52,f57]) ).
fof(f81,plain,
differ(d,a),
inference(resolution,[status(thm)],[f52,f55]) ).
fof(f83,plain,
differ(b,a),
inference(resolution,[status(thm)],[f52,f53]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ~ holds(on(b,d),do(putdown(X1,X2),X0))
| ~ holds(on(c,a),X0) ),
inference(resolution,[status(thm)],[f49,f73]) ).
fof(f98,plain,
! [X0] :
( ~ holds(on(c,a),X0)
| ~ holds(clear(d),X0)
| ~ holds(holding(b),X0) ),
inference(resolution,[status(thm)],[f45,f96]) ).
fof(f102,plain,
! [X0,X1] :
( ~ differ(c,X0)
| ~ holds(on(c,a),X1)
| ~ holds(clear(d),do(pickup(X0),X1))
| ~ holds(holding(b),do(pickup(X0),X1)) ),
inference(resolution,[status(thm)],[f98,f39]) ).
fof(f107,plain,
! [X0] :
( ~ differ(b,table)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ differ(c,b)
| ~ holds(on(c,a),X0)
| ~ holds(clear(d),do(pickup(b),X0)) ),
inference(resolution,[status(thm)],[f102,f35]) ).
fof(f108,plain,
! [X0] :
( ~ differ(b,table)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,a),X0)
| ~ holds(clear(d),do(pickup(b),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f107,f79]) ).
fof(f111,plain,
! [X0] :
( ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,a),X0)
| ~ holds(clear(d),do(pickup(b),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f108,f59]) ).
fof(f112,plain,
! [X0] :
( ~ differ(d,b)
| ~ holds(clear(d),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,a),X0) ),
inference(resolution,[status(thm)],[f111,f41]) ).
fof(f114,plain,
! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,a),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f112,f78]) ).
fof(f116,plain,
! [X0] :
( ~ holds(clear(a),X0)
| ~ holds(holding(c),X0)
| ~ holds(clear(d),do(putdown(c,a),X0))
| ~ holds(clear(b),do(putdown(c,a),X0))
| ~ holds(empty,do(putdown(c,a),X0)) ),
inference(resolution,[status(thm)],[f114,f45]) ).
fof(f119,plain,
! [X0] :
( ~ holds(clear(a),X0)
| ~ holds(holding(c),X0)
| ~ holds(clear(d),do(putdown(c,a),X0))
| ~ holds(clear(b),do(putdown(c,a),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f116,f43]) ).
fof(f129,plain,
! [X0] :
( ~ differ(d,a)
| ~ holds(clear(d),X0)
| ~ holds(clear(a),X0)
| ~ holds(holding(c),X0)
| ~ holds(clear(b),do(putdown(c,a),X0)) ),
inference(resolution,[status(thm)],[f119,f51]) ).
fof(f130,plain,
! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(clear(a),X0)
| ~ holds(holding(c),X0)
| ~ holds(clear(b),do(putdown(c,a),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f129,f81]) ).
fof(f131,plain,
! [X0] :
( ~ differ(b,a)
| ~ holds(clear(b),X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(a),X0)
| ~ holds(holding(c),X0) ),
inference(resolution,[status(thm)],[f130,f51]) ).
fof(f132,plain,
! [X0] :
( ~ holds(clear(b),X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(a),X0)
| ~ holds(holding(c),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f131,f83]) ).
fof(f133,plain,
! [X0] :
( ~ differ(c,table)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(d),do(pickup(c),X0))
| ~ holds(clear(a),do(pickup(c),X0)) ),
inference(resolution,[status(thm)],[f132,f35]) ).
fof(f134,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(d),do(pickup(c),X0))
| ~ holds(clear(a),do(pickup(c),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f133,f61]) ).
fof(f178,plain,
! [X0] :
( ~ differ(b,c)
| ~ holds(clear(b),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(pickup(c),X0))
| ~ holds(clear(a),do(pickup(c),X0)) ),
inference(resolution,[status(thm)],[f134,f41]) ).
fof(f182,plain,
! [X0] :
( ~ holds(clear(b),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(pickup(c),X0))
| ~ holds(clear(a),do(pickup(c),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f178,f57]) ).
fof(f216,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),do(pickup(c),X0)) ),
inference(resolution,[status(thm)],[f182,f37]) ).
fof(f217,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),do(pickup(c),X0)) ),
inference(duplicate_literals_removal,[status(thm)],[f216]) ).
fof(f218,plain,
! [X0] :
( ~ differ(a,c)
| ~ holds(clear(a),X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0) ),
inference(resolution,[status(thm)],[f217,f41]) ).
fof(f220,plain,
! [X0] :
( ~ holds(clear(a),X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f218,f54]) ).
fof(f222,plain,
( ~ holds(clear(a),s0)
| ~ holds(clear(b),s0)
| ~ holds(clear(c),s0)
| ~ holds(empty,s0) ),
inference(resolution,[status(thm)],[f220,f65]) ).
fof(f226,plain,
( ~ holds(clear(a),s0)
| ~ holds(clear(b),s0)
| ~ holds(clear(c),s0) ),
inference(forward_subsumption_resolution,[status(thm)],[f222,f70]) ).
fof(f228,plain,
( ~ holds(clear(a),s0)
| ~ holds(clear(b),s0) ),
inference(forward_subsumption_resolution,[status(thm)],[f226,f69]) ).
fof(f229,plain,
~ holds(clear(a),s0),
inference(resolution,[status(thm)],[f228,f68]) ).
fof(f230,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f229,f67]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA021-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.38 % Computer : n019.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 21 03:32:19 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.39 % Drodi V4.1.1
% 0.12/0.43 % Refutation found
% 0.12/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.47 % Elapsed time: 0.082085 seconds
% 0.12/0.47 % CPU time: 0.219887 seconds
% 0.12/0.47 % Total memory used: 57.950 MB
% 0.12/0.47 % Net memory used: 57.610 MB
%------------------------------------------------------------------------------