%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PLA022-2 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n009.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 0.13s 0.39s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 14
% Syntax : Number of formulae : 48 ( 17 unt; 0 def)
% Number of atoms : 116 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 150 ( 82 ~; 68 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 76 ( 76 !; 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(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(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(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(f15,axiom,
differ(a,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(f31,negated_conjecture,
! [State] : ~ holds(and(on(a,c),on(c,d)),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(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(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(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(f56,plain,
differ(a,table),
inference(cnf_transformation,[status(thm)],[f15]) ).
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(f72,plain,
! [X0] : ~ holds(and(on(a,c),on(c,d)),X0),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f73,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(on(a,c),X0) ),
inference(resolution,[status(thm)],[f33,f72]) ).
fof(f83,plain,
differ(c,a),
inference(resolution,[status(thm)],[f52,f54]) ).
fof(f99,plain,
! [X0] :
( ~ holds(on(c,d),do(putdown(a,c),X0))
| ~ holds(clear(c),X0)
| ~ holds(holding(a),X0) ),
inference(resolution,[status(thm)],[f45,f73]) ).
fof(f103,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(holding(a),X0) ),
inference(resolution,[status(thm)],[f99,f49]) ).
fof(f107,plain,
! [X0,X1] :
( ~ differ(c,X0)
| ~ holds(on(c,d),X1)
| ~ holds(clear(c),do(pickup(X0),X1))
| ~ holds(holding(a),do(pickup(X0),X1)) ),
inference(resolution,[status(thm)],[f103,f39]) ).
fof(f111,plain,
! [X0] :
( ~ differ(a,table)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ differ(c,a)
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),do(pickup(a),X0)) ),
inference(resolution,[status(thm)],[f107,f35]) ).
fof(f112,plain,
! [X0] :
( ~ differ(a,table)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),do(pickup(a),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f111,f83]) ).
fof(f123,plain,
! [X0] :
( ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),do(pickup(a),X0)) ),
inference(forward_subsumption_resolution,[status(thm)],[f112,f56]) ).
fof(f124,plain,
! [X0] :
( ~ differ(c,a)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,d),X0) ),
inference(resolution,[status(thm)],[f123,f41]) ).
fof(f126,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,d),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f124,f83]) ).
fof(f128,plain,
( ~ holds(clear(c),s0)
| ~ holds(clear(a),s0)
| ~ holds(empty,s0) ),
inference(resolution,[status(thm)],[f126,f65]) ).
fof(f132,plain,
( ~ holds(clear(c),s0)
| ~ holds(clear(a),s0) ),
inference(forward_subsumption_resolution,[status(thm)],[f128,f70]) ).
fof(f135,plain,
~ holds(clear(c),s0),
inference(forward_subsumption_resolution,[status(thm)],[f132,f67]) ).
fof(f136,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f69,f135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PLA022-2 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n009.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 03:32:12 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.051302 seconds
% 0.13/0.41 % CPU time: 0.151155 seconds
% 0.13/0.41 % Total memory used: 56.541 MB
% 0.13/0.41 % Net memory used: 56.346 MB
%------------------------------------------------------------------------------