%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PLA009-2 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/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 01:58:31 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.42s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 34
% Syntax : Number of formulae : 120 ( 28 unt; 14 def)
% Number of atoms : 360 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 485 ( 245 ~; 226 |; 0 &)
% ( 14 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 17 ( 16 usr; 15 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 140 ( 140 !; 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(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(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(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(f31,negated_conjecture,
! [State] : ~ holds(and(clear(d),on(a,b)),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(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(f56,plain,
differ(a,table),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f57,plain,
differ(b,c),
inference(cnf_transformation,[status(thm)],[f16]) ).
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(clear(d),on(a,b)),X0),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f73,plain,
! [X0] :
( ~ holds(on(a,b),X0)
| ~ holds(clear(d),X0) ),
inference(resolution,[status(thm)],[f72,f33]) ).
fof(f76,plain,
! [X0,X1] :
( ~ differ(a,X0)
| ~ holds(on(a,b),X1)
| ~ holds(clear(d),do(pickup(X0),X1)) ),
inference(resolution,[status(thm)],[f73,f39]) ).
fof(f103,plain,
! [X0,X1] :
( ~ holds(empty,X0)
| ~ holds(clear(X1),X0)
| ~ holds(on(X1,d),X0)
| ~ differ(a,X1)
| ~ holds(on(a,b),X0) ),
inference(resolution,[status(thm)],[f76,f37]) ).
fof(f112,definition,
( sQ8_spl
<=> differ(a,table) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f114,plain,
( sQ8_spl
| ~ differ(a,table) ),
inference(component_clause,[status(thm)],[f112]) ).
fof(f116,plain,
( sQ8_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f114,f56]) ).
fof(f117,plain,
sQ8_spl,
inference(contradiction_clause,[status(thm)],[f116]) ).
fof(f119,plain,
! [X0,X1,X2,X3] :
( ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2)
| ~ holds(clear(X3),do(putdown(X0,X1),X2))
| ~ holds(on(X3,d),do(putdown(X0,X1),X2))
| ~ differ(a,X3)
| ~ holds(on(a,b),do(putdown(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f103,f43]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( ~ differ(X0,table)
| ~ holds(clear(X0),X2)
| ~ holds(empty,X2)
| ~ holds(clear(X1),do(pickup(X0),X2))
| ~ holds(clear(X3),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(on(X3,d),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ differ(a,X3)
| ~ holds(on(a,b),do(putdown(X0,X1),do(pickup(X0),X2))) ),
inference(resolution,[status(thm)],[f119,f35]) ).
fof(f158,definition,
( sQ16_spl
<=> differ(b,a) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( sQ16_spl
| ~ differ(b,a) ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f176,plain,
! [X0,X1] :
( ~ holds(clear(b),do(pickup(a),X1))
| ~ holds(holding(a),do(pickup(a),X1))
| ~ differ(a,table)
| ~ holds(clear(a),X1)
| ~ holds(empty,X1)
| ~ holds(clear(b),do(pickup(a),X1))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))
| ~ differ(a,X0) ),
inference(resolution,[status(thm)],[f152,f45]) ).
fof(f177,definition,
! [X0,X1] :
( sQ18_spl
<=> ( ~ holds(clear(b),do(pickup(a),X1))
| ~ holds(holding(a),do(pickup(a),X1))
| ~ holds(clear(a),X1)
| ~ holds(empty,X1)
| ~ holds(clear(b),do(pickup(a),X1))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))
| ~ differ(a,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f178,plain,
! [X0,X1] :
( ~ sQ18_spl
| ~ holds(clear(b),do(pickup(a),X1))
| ~ holds(holding(a),do(pickup(a),X1))
| ~ holds(clear(a),X1)
| ~ holds(empty,X1)
| ~ holds(clear(b),do(pickup(a),X1))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))
| ~ differ(a,X0) ),
inference(component_clause,[status(thm)],[f177]) ).
fof(f180,plain,
( ~ sQ8_spl
| sQ18_spl ),
inference(split_clause,[status(thm)],[f176,f177,f112]) ).
fof(f181,plain,
! [X0,X1] :
( ~ sQ18_spl
| ~ holds(holding(a),do(pickup(a),X1))
| ~ holds(clear(a),X1)
| ~ holds(empty,X1)
| ~ holds(clear(b),do(pickup(a),X1))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))
| ~ differ(a,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f178]) ).
fof(f182,plain,
( sQ16_spl
| ~ differ(a,b) ),
inference(resolution,[status(thm)],[f160,f52]) ).
fof(f183,plain,
( sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f182,f53]) ).
fof(f184,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f183]) ).
fof(f191,definition,
( sQ19_spl
<=> holds(clear(a),s0) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f193,plain,
( sQ19_spl
| ~ holds(clear(a),s0) ),
inference(component_clause,[status(thm)],[f191]) ).
fof(f199,plain,
! [X0,X1] :
( ~ sQ18_spl
| ~ differ(a,table)
| ~ holds(clear(a),X1)
| ~ holds(empty,X1)
| ~ holds(clear(a),X1)
| ~ holds(empty,X1)
| ~ holds(clear(b),do(pickup(a),X1))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))
| ~ differ(a,X0) ),
inference(resolution,[status(thm)],[f181,f35]) ).
fof(f200,definition,
! [X0,X1] :
( sQ21_spl
<=> ( ~ holds(clear(a),X1)
| ~ holds(empty,X1)
| ~ holds(clear(a),X1)
| ~ holds(empty,X1)
| ~ holds(clear(b),do(pickup(a),X1))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))
| ~ differ(a,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f201,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ holds(clear(a),X1)
| ~ holds(empty,X1)
| ~ holds(clear(a),X1)
| ~ holds(empty,X1)
| ~ holds(clear(b),do(pickup(a),X1))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))
| ~ differ(a,X0) ),
inference(component_clause,[status(thm)],[f200]) ).
fof(f203,plain,
( ~ sQ18_spl
| ~ sQ8_spl
| sQ21_spl ),
inference(split_clause,[status(thm)],[f199,f200,f112,f177]) ).
fof(f204,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ holds(clear(a),X1)
| ~ holds(empty,X1)
| ~ holds(clear(b),do(pickup(a),X1))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ holds(on(X0,d),do(putdown(a,b),do(pickup(a),X1)))
| ~ differ(a,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f201]) ).
fof(f210,definition,
( sQ23_spl
<=> holds(clear(b),s0) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f212,plain,
( sQ23_spl
| ~ holds(clear(b),s0) ),
inference(component_clause,[status(thm)],[f210]) ).
fof(f214,plain,
( sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f193,f67]) ).
fof(f215,plain,
sQ19_spl,
inference(contradiction_clause,[status(thm)],[f214]) ).
fof(f219,plain,
( sQ23_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f212,f68]) ).
fof(f220,plain,
sQ23_spl,
inference(contradiction_clause,[status(thm)],[f219]) ).
fof(f225,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ holds(on(X0,d),do(pickup(a),X1))
| ~ holds(clear(a),X1)
| ~ holds(empty,X1)
| ~ holds(clear(b),do(pickup(a),X1))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ differ(a,X0) ),
inference(resolution,[status(thm)],[f204,f49]) ).
fof(f228,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ differ(X0,a)
| ~ holds(on(X0,d),X1)
| ~ holds(clear(a),X1)
| ~ holds(empty,X1)
| ~ holds(clear(b),do(pickup(a),X1))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ differ(a,X0) ),
inference(resolution,[status(thm)],[f225,f39]) ).
fof(f229,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ holds(on(X0,d),X1)
| ~ holds(clear(a),X1)
| ~ holds(empty,X1)
| ~ holds(clear(b),do(pickup(a),X1))
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ differ(a,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f228,f52]) ).
fof(f247,plain,
! [X0,X1] :
( ~ sQ21_spl
| ~ differ(b,a)
| ~ holds(clear(b),X1)
| ~ holds(on(X0,d),X1)
| ~ holds(clear(a),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ differ(a,X0) ),
inference(resolution,[status(thm)],[f229,f41]) ).
fof(f249,definition,
! [X0,X1] :
( sQ26_spl
<=> ( ~ holds(clear(b),X1)
| ~ holds(on(X0,d),X1)
| ~ holds(clear(a),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ differ(a,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f250,plain,
! [X0,X1] :
( ~ sQ26_spl
| ~ holds(clear(b),X1)
| ~ holds(on(X0,d),X1)
| ~ holds(clear(a),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),X1)))
| ~ differ(a,X0) ),
inference(component_clause,[status(thm)],[f249]) ).
fof(f252,plain,
( ~ sQ21_spl
| ~ sQ16_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f247,f249,f158,f200]) ).
fof(f288,plain,
! [X0] :
( ~ sQ26_spl
| ~ holds(clear(b),s0)
| ~ holds(on(X0,d),s0)
| ~ holds(clear(a),s0)
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),s0)))
| ~ differ(a,X0) ),
inference(resolution,[status(thm)],[f250,f70]) ).
fof(f290,definition,
! [X0] :
( sQ32_spl
<=> ( ~ holds(on(X0,d),s0)
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),s0)))
| ~ differ(a,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f291,plain,
! [X0] :
( ~ sQ32_spl
| ~ holds(on(X0,d),s0)
| ~ holds(clear(X0),do(putdown(a,b),do(pickup(a),s0)))
| ~ differ(a,X0) ),
inference(component_clause,[status(thm)],[f290]) ).
fof(f293,plain,
( ~ sQ26_spl
| ~ sQ23_spl
| ~ sQ19_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f288,f290,f191,f210,f249]) ).
fof(f296,plain,
( ~ sQ32_spl
| ~ holds(clear(c),do(putdown(a,b),do(pickup(a),s0)))
| ~ differ(a,c) ),
inference(resolution,[status(thm)],[f291,f65]) ).
fof(f297,definition,
( sQ33_spl
<=> differ(a,c) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f299,plain,
( sQ33_spl
| ~ differ(a,c) ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,definition,
( sQ34_spl
<=> holds(clear(c),do(putdown(a,b),do(pickup(a),s0))) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f302,plain,
( sQ34_spl
| ~ holds(clear(c),do(putdown(a,b),do(pickup(a),s0))) ),
inference(component_clause,[status(thm)],[f300]) ).
fof(f303,plain,
( ~ sQ32_spl
| ~ sQ34_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f296,f297,f300,f290]) ).
fof(f304,plain,
( sQ33_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f299,f54]) ).
fof(f305,plain,
sQ33_spl,
inference(contradiction_clause,[status(thm)],[f304]) ).
fof(f318,plain,
( sQ34_spl
| ~ differ(c,b)
| ~ holds(clear(c),do(pickup(a),s0)) ),
inference(resolution,[status(thm)],[f302,f51]) ).
fof(f319,definition,
( sQ37_spl
<=> holds(clear(c),do(pickup(a),s0)) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f321,plain,
( sQ37_spl
| ~ holds(clear(c),do(pickup(a),s0)) ),
inference(component_clause,[status(thm)],[f319]) ).
fof(f322,definition,
( sQ38_spl
<=> differ(c,b) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f324,plain,
( sQ38_spl
| ~ differ(c,b) ),
inference(component_clause,[status(thm)],[f322]) ).
fof(f325,plain,
( sQ34_spl
| ~ sQ38_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f318,f319,f322,f300]) ).
fof(f335,plain,
( sQ37_spl
| ~ differ(c,a)
| ~ holds(clear(c),s0) ),
inference(resolution,[status(thm)],[f321,f41]) ).
fof(f337,definition,
( sQ40_spl
<=> holds(clear(c),s0) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f339,plain,
( sQ40_spl
| ~ holds(clear(c),s0) ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f340,definition,
( sQ41_spl
<=> differ(c,a) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f342,plain,
( sQ41_spl
| ~ differ(c,a) ),
inference(component_clause,[status(thm)],[f340]) ).
fof(f343,plain,
( sQ37_spl
| ~ sQ41_spl
| ~ sQ40_spl ),
inference(split_clause,[status(thm)],[f335,f337,f340,f319]) ).
fof(f351,plain,
( sQ40_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f339,f69]) ).
fof(f352,plain,
sQ40_spl,
inference(contradiction_clause,[status(thm)],[f351]) ).
fof(f362,plain,
( sQ41_spl
| ~ differ(a,c) ),
inference(resolution,[status(thm)],[f342,f52]) ).
fof(f363,plain,
( sQ41_spl
| ~ sQ33_spl ),
inference(split_clause,[status(thm)],[f362,f297,f340]) ).
fof(f368,plain,
( sQ38_spl
| ~ differ(b,c) ),
inference(resolution,[status(thm)],[f324,f52]) ).
fof(f369,plain,
( sQ38_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f368,f57]) ).
fof(f370,plain,
sQ38_spl,
inference(contradiction_clause,[status(thm)],[f369]) ).
fof(f371,plain,
$false,
inference(sat_refutation,[status(thm)],[f117,f180,f184,f203,f215,f220,f252,f293,f303,f305,f325,f343,f352,f363,f370]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA009-2 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.37 % Computer : n018.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Mon Sep 21 03:33:44 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.38 % Drodi V4.1.1
% 0.15/0.42 % Refutation found
% 0.15/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.46 % Elapsed time: 0.082978 seconds
% 0.15/0.46 % CPU time: 0.381828 seconds
% 0.15/0.46 % Total memory used: 35.807 MB
% 0.15/0.46 % Net memory used: 34.696 MB
%------------------------------------------------------------------------------