%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PLA016-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 01:58:32 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.39s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 17
% Syntax : Number of formulae : 61 ( 24 unt; 0 def)
% Number of atoms : 185 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 270 ( 146 ~; 124 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 92 ( 92 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(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(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(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(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(on(d,a),State),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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(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(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(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(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(on(d,a),X0),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f75,plain,
! [X0] :
( ~ holds(clear(a),X0)
| ~ holds(holding(d),X0) ),
inference(resolution,[status(thm)],[f45,f72]) ).
fof(f76,plain,
! [X0] :
( ~ differ(d,table)
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),do(pickup(d),X0)) ),
inference(resolution,[status(thm)],[f75,f35]) ).
fof(f77,plain,
! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),do(pickup(d),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f76,f62]) ).
fof(f79,plain,
! [X0] :
( ~ differ(a,d)
| ~ holds(clear(a),X0)
| ~ holds(clear(d),X0)
| ~ holds(empty,X0) ),
inference(resolution,[status(thm)],[f77,f41]) ).
fof(f81,plain,
! [X0] :
( ~ holds(clear(a),X0)
| ~ holds(clear(d),X0)
| ~ holds(empty,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f79,f55]) ).
fof(f82,plain,
! [X0,X1,X2] :
( ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2)
| ~ holds(clear(a),do(putdown(X0,X1),X2))
| ~ holds(clear(d),do(putdown(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f81,f43]) ).
fof(f85,plain,
! [X0,X1,X2] :
( ~ differ(d,X1)
| ~ holds(clear(d),X2)
| ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2)
| ~ holds(clear(a),do(putdown(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f82,f51]) ).
fof(f86,plain,
! [X0,X1,X2] :
( ~ differ(a,X2)
| ~ holds(clear(a),X1)
| ~ differ(d,X2)
| ~ holds(clear(d),X1)
| ~ holds(clear(X2),X1)
| ~ holds(holding(X0),X1) ),
inference(resolution,[status(thm)],[f85,f51]) ).
fof(f87,plain,
! [X0,X1,X2] :
( ~ differ(X1,table)
| ~ holds(clear(X1),X2)
| ~ holds(empty,X2)
| ~ differ(a,X0)
| ~ holds(clear(a),do(pickup(X1),X2))
| ~ differ(d,X0)
| ~ holds(clear(d),do(pickup(X1),X2))
| ~ holds(clear(X0),do(pickup(X1),X2)) ),
inference(resolution,[status(thm)],[f86,f35]) ).
fof(f88,plain,
! [X0,X1,X2] :
( ~ holds(empty,X2)
| ~ holds(clear(X1),X2)
| ~ holds(on(X1,d),X2)
| ~ differ(X1,table)
| ~ holds(clear(X1),X2)
| ~ holds(empty,X2)
| ~ differ(a,X0)
| ~ holds(clear(a),do(pickup(X1),X2))
| ~ differ(d,X0)
| ~ holds(clear(X0),do(pickup(X1),X2)) ),
inference(resolution,[status(thm)],[f87,f37]) ).
fof(f90,plain,
! [X0,X1,X2] :
( ~ holds(on(X1,d),X2)
| ~ differ(X1,table)
| ~ holds(clear(X1),X2)
| ~ holds(empty,X2)
| ~ differ(a,X0)
| ~ holds(clear(a),do(pickup(X1),X2))
| ~ differ(d,X0)
| ~ holds(clear(X0),do(pickup(X1),X2)) ),
inference(duplicate_literals_removal,[status(thm)],[f88]) ).
fof(f92,plain,
! [X0,X1,X2] :
( ~ differ(a,X1)
| ~ holds(clear(a),X2)
| ~ holds(on(X1,d),X2)
| ~ differ(X1,table)
| ~ holds(clear(X1),X2)
| ~ holds(empty,X2)
| ~ differ(a,X0)
| ~ differ(d,X0)
| ~ holds(clear(X0),do(pickup(X1),X2)) ),
inference(resolution,[status(thm)],[f90,f41]) ).
fof(f103,plain,
! [X0,X1] :
( ~ differ(a,X0)
| ~ holds(clear(a),X1)
| ~ holds(on(X0,d),X1)
| ~ differ(X0,table)
| ~ holds(clear(X0),X1)
| ~ holds(empty,X1)
| ~ differ(a,table)
| ~ holds(clear(table),do(pickup(X0),X1)) ),
inference(resolution,[status(thm)],[f92,f62]) ).
fof(f105,plain,
! [X0,X1] :
( ~ differ(a,X1)
| ~ holds(clear(a),X0)
| ~ holds(on(X1,d),X0)
| ~ differ(X1,table)
| ~ holds(clear(X1),X0)
| ~ holds(empty,X0)
| ~ differ(a,table) ),
inference(forward_subsumption_resolution,[status(thm)],[f103,f71]) ).
fof(f107,plain,
! [X0,X1] :
( ~ differ(a,X1)
| ~ holds(clear(a),X0)
| ~ holds(on(X1,d),X0)
| ~ differ(X1,table)
| ~ holds(clear(X1),X0)
| ~ holds(empty,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f105,f56]) ).
fof(f109,plain,
! [X0] :
( ~ differ(a,X0)
| ~ holds(clear(a),s0)
| ~ holds(on(X0,d),s0)
| ~ differ(X0,table)
| ~ holds(clear(X0),s0) ),
inference(resolution,[status(thm)],[f107,f70]) ).
fof(f110,plain,
! [X0] :
( ~ differ(a,X0)
| ~ holds(on(X0,d),s0)
| ~ differ(X0,table)
| ~ holds(clear(X0),s0) ),
inference(forward_subsumption_resolution,[status(thm)],[f109,f67]) ).
fof(f111,plain,
( ~ differ(a,c)
| ~ differ(c,table)
| ~ holds(clear(c),s0) ),
inference(resolution,[status(thm)],[f110,f65]) ).
fof(f112,plain,
( ~ differ(a,c)
| ~ differ(c,table) ),
inference(forward_subsumption_resolution,[status(thm)],[f111,f69]) ).
fof(f114,plain,
~ differ(a,c),
inference(forward_subsumption_resolution,[status(thm)],[f112,f61]) ).
fof(f115,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f54,f114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PLA016-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n004.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 03:32:21 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 0.10/0.39 % Refutation found
% 0.10/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.41 % Elapsed time: 0.042111 seconds
% 0.10/0.41 % CPU time: 0.131615 seconds
% 0.10/0.41 % Total memory used: 32.597 MB
% 0.10/0.41 % Net memory used: 32.432 MB
%------------------------------------------------------------------------------