%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PLA010-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n014.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 1.07s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 51
% Syntax : Number of formulae : 181 ( 45 unt; 24 def)
% Number of atoms : 641 ( 0 equ)
% Maximal formula atoms : 15 ( 3 avg)
% Number of connectives : 938 ( 478 ~; 436 |; 0 &)
% ( 24 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 27 ( 26 usr; 25 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 185 ( 185 !; 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(f8,axiom,
! [X,Y,State] :
( ~ holds(clear(Y),State)
| ~ holds(holding(X),State)
| holds(clear(X),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(f15,axiom,
differ(a,table),
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(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(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(f30,axiom,
! [State] : holds(clear(table),State),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,negated_conjecture,
! [State] : ~ holds(and(on(a,d),on(d,b)),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(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(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(a,d),on(d,b)),X0),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f73,plain,
! [X0] :
( ~ holds(on(d,b),X0)
| ~ holds(on(a,d),X0) ),
inference(resolution,[status(thm)],[f72,f33]) ).
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(f87,plain,
! [X0] :
( ~ holds(on(d,b),do(putdown(a,d),do(pickup(a),X0)))
| ~ differ(a,table)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(pickup(a),X0)) ),
inference(resolution,[status(thm)],[f77,f73]) ).
fof(f91,definition,
( sQ3_spl
<=> differ(d,table) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f93,plain,
( sQ3_spl
| ~ differ(d,table) ),
inference(component_clause,[status(thm)],[f91]) ).
fof(f95,definition,
! [X0] :
( sQ4_spl
<=> ( ~ holds(on(d,b),do(putdown(a,d),do(pickup(a),X0)))
| ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(pickup(a),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f96,plain,
! [X0] :
( ~ sQ4_spl
| ~ holds(on(d,b),do(putdown(a,d),do(pickup(a),X0)))
| ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(pickup(a),X0)) ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f98,definition,
( sQ5_spl
<=> differ(a,table) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f100,plain,
( sQ5_spl
| ~ differ(a,table) ),
inference(component_clause,[status(thm)],[f98]) ).
fof(f101,plain,
( ~ sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f87,f95,f98]) ).
fof(f106,definition,
( sQ7_spl
<=> differ(a,d) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f108,plain,
( sQ7_spl
| ~ differ(a,d) ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f110,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f93,f62]) ).
fof(f111,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f110]) ).
fof(f117,definition,
( sQ9_spl
<=> differ(b,d) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( sQ9_spl
| ~ differ(b,d) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f122,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f108,f55]) ).
fof(f123,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f122]) ).
fof(f132,definition,
( sQ12_spl
<=> holds(clear(b),s0) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f134,plain,
( sQ12_spl
| ~ holds(clear(b),s0) ),
inference(component_clause,[status(thm)],[f132]) ).
fof(f136,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f119,f58]) ).
fof(f137,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f136]) ).
fof(f138,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f134,f68]) ).
fof(f139,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f138]) ).
fof(f147,plain,
! [X0] :
( ~ sQ4_spl
| ~ holds(on(d,b),do(pickup(a),X0))
| ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(pickup(a),X0)) ),
inference(resolution,[status(thm)],[f96,f49]) ).
fof(f150,plain,
! [X0] :
( ~ sQ4_spl
| ~ differ(d,a)
| ~ holds(on(d,b),X0)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(pickup(a),X0)) ),
inference(resolution,[status(thm)],[f147,f39]) ).
fof(f151,definition,
! [X0] :
( sQ13_spl
<=> ( ~ holds(on(d,b),X0)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(pickup(a),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f152,plain,
! [X0] :
( ~ sQ13_spl
| ~ holds(on(d,b),X0)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(pickup(a),X0)) ),
inference(component_clause,[status(thm)],[f151]) ).
fof(f154,definition,
( sQ14_spl
<=> differ(d,a) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f156,plain,
( sQ14_spl
| ~ differ(d,a) ),
inference(component_clause,[status(thm)],[f154]) ).
fof(f157,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f150,f151,f154,f95]) ).
fof(f158,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f100,f56]) ).
fof(f159,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f158]) ).
fof(f160,plain,
! [X0] :
( ~ sQ13_spl
| ~ differ(d,a)
| ~ holds(clear(d),X0)
| ~ holds(on(d,b),X0)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0) ),
inference(resolution,[status(thm)],[f152,f41]) ).
fof(f162,definition,
! [X0] :
( sQ15_spl
<=> ( ~ holds(clear(d),X0)
| ~ holds(on(d,b),X0)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f163,plain,
! [X0] :
( ~ sQ15_spl
| ~ holds(clear(d),X0)
| ~ holds(on(d,b),X0)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0) ),
inference(component_clause,[status(thm)],[f162]) ).
fof(f165,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f160,f162,f154,f151]) ).
fof(f167,plain,
( sQ14_spl
| ~ differ(a,d) ),
inference(resolution,[status(thm)],[f156,f52]) ).
fof(f168,plain,
( sQ14_spl
| ~ sQ7_spl ),
inference(split_clause,[status(thm)],[f167,f106,f154]) ).
fof(f169,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2)
| ~ holds(clear(d),do(putdown(X0,X1),X2))
| ~ holds(on(d,b),do(putdown(X0,X1),X2))
| ~ holds(clear(a),do(putdown(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f163,f43]) ).
fof(f171,definition,
( sQ16_spl
<=> holds(clear(a),s0) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f173,plain,
( sQ16_spl
| ~ holds(clear(a),s0) ),
inference(component_clause,[status(thm)],[f171]) ).
fof(f186,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| ~ differ(X0,table)
| ~ holds(clear(X0),X2)
| ~ holds(empty,X2)
| ~ holds(clear(X1),do(pickup(X0),X2))
| ~ holds(clear(d),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(on(d,b),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(a),do(putdown(X0,X1),do(pickup(X0),X2))) ),
inference(resolution,[status(thm)],[f169,f35]) ).
fof(f198,definition,
( sQ20_spl
<=> differ(b,table) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f200,plain,
( sQ20_spl
| ~ differ(b,table) ),
inference(component_clause,[status(thm)],[f198]) ).
fof(f232,plain,
! [X0] :
( ~ sQ15_spl
| ~ differ(d,table)
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(d),X0))
| ~ differ(d,table)
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(clear(d),do(putdown(d,b),do(pickup(d),X0)))
| ~ holds(clear(a),do(putdown(d,b),do(pickup(d),X0))) ),
inference(resolution,[status(thm)],[f186,f77]) ).
fof(f234,definition,
! [X0] :
( sQ26_spl
<=> ( ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(clear(d),do(putdown(d,b),do(pickup(d),X0)))
| ~ holds(clear(a),do(putdown(d,b),do(pickup(d),X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f235,plain,
! [X0] :
( ~ sQ26_spl
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(clear(d),do(putdown(d,b),do(pickup(d),X0)))
| ~ holds(clear(a),do(putdown(d,b),do(pickup(d),X0))) ),
inference(component_clause,[status(thm)],[f234]) ).
fof(f237,plain,
( ~ sQ15_spl
| ~ sQ3_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f232,f234,f91,f162]) ).
fof(f238,plain,
! [X0] :
( ~ sQ26_spl
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(clear(d),do(putdown(d,b),do(pickup(d),X0)))
| ~ holds(clear(a),do(putdown(d,b),do(pickup(d),X0))) ),
inference(duplicate_literals_removal,[status(thm)],[f235]) ).
fof(f254,plain,
! [X0] :
( ~ sQ26_spl
| ~ differ(a,b)
| ~ holds(clear(a),do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(clear(d),do(putdown(d,b),do(pickup(d),X0))) ),
inference(resolution,[status(thm)],[f238,f51]) ).
fof(f255,definition,
! [X0] :
( sQ28_spl
<=> ( ~ holds(clear(a),do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(clear(d),do(putdown(d,b),do(pickup(d),X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f256,plain,
! [X0] :
( ~ sQ28_spl
| ~ holds(clear(a),do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(clear(d),do(putdown(d,b),do(pickup(d),X0))) ),
inference(component_clause,[status(thm)],[f255]) ).
fof(f258,definition,
( sQ29_spl
<=> differ(a,b) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f260,plain,
( sQ29_spl
| ~ differ(a,b) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,plain,
( ~ sQ26_spl
| ~ sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f254,f255,f258,f234]) ).
fof(f262,plain,
! [X0] :
( ~ sQ28_spl
| ~ differ(b,d)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(putdown(d,b),do(pickup(d),X0))) ),
inference(resolution,[status(thm)],[f256,f41]) ).
fof(f266,definition,
! [X0] :
( sQ30_spl
<=> ( ~ holds(clear(b),X0)
| ~ holds(clear(a),do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(putdown(d,b),do(pickup(d),X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f267,plain,
! [X0] :
( ~ sQ30_spl
| ~ holds(clear(b),X0)
| ~ holds(clear(a),do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(putdown(d,b),do(pickup(d),X0))) ),
inference(component_clause,[status(thm)],[f266]) ).
fof(f269,plain,
( ~ sQ28_spl
| ~ sQ9_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f262,f266,f117,f255]) ).
fof(f277,plain,
! [X0] :
( ~ sQ30_spl
| ~ differ(a,d)
| ~ holds(clear(a),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(putdown(d,b),do(pickup(d),X0))) ),
inference(resolution,[status(thm)],[f267,f41]) ).
fof(f279,definition,
! [X0] :
( sQ32_spl
<=> ( ~ holds(clear(a),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(putdown(d,b),do(pickup(d),X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f280,plain,
! [X0] :
( ~ sQ32_spl
| ~ holds(clear(a),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(putdown(d,b),do(pickup(d),X0))) ),
inference(component_clause,[status(thm)],[f279]) ).
fof(f282,plain,
( ~ sQ30_spl
| ~ sQ7_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f277,f279,f106,f266]) ).
fof(f284,plain,
! [X0] :
( ~ sQ32_spl
| ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(holding(d),do(pickup(d),X0))
| ~ holds(clear(a),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(d),X0)
| ~ holds(empty,X0) ),
inference(resolution,[status(thm)],[f280,f47]) ).
fof(f334,plain,
! [X0] :
( ~ sQ32_spl
| ~ differ(d,table)
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(clear(a),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(d),X0)
| ~ holds(empty,X0) ),
inference(resolution,[status(thm)],[f284,f35]) ).
fof(f335,definition,
! [X0] :
( sQ40_spl
<=> ( ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(clear(a),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(d),X0)
| ~ holds(empty,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f336,plain,
! [X0] :
( ~ sQ40_spl
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(clear(a),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(d),X0)
| ~ holds(empty,X0) ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,plain,
( ~ sQ32_spl
| ~ sQ3_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f334,f335,f91,f279]) ).
fof(f339,plain,
! [X0] :
( ~ sQ40_spl
| ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(clear(a),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(d),X0)
| ~ holds(empty,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f336]) ).
fof(f340,plain,
! [X0] :
( ~ sQ40_spl
| ~ differ(b,d)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(d),X0)
| ~ holds(empty,X0) ),
inference(resolution,[status(thm)],[f339,f41]) ).
fof(f342,definition,
! [X0] :
( sQ41_spl
<=> ( ~ holds(clear(b),X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(d),X0)
| ~ holds(empty,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f343,plain,
! [X0] :
( ~ sQ41_spl
| ~ holds(clear(b),X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(d),X0)
| ~ holds(empty,X0) ),
inference(component_clause,[status(thm)],[f342]) ).
fof(f345,plain,
( ~ sQ40_spl
| ~ sQ9_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f340,f342,f117,f335]) ).
fof(f347,plain,
! [X0] :
( ~ sQ41_spl
| ~ holds(clear(a),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(d),X0)
| ~ holds(empty,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f343]) ).
fof(f353,plain,
( sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f200,f59]) ).
fof(f354,plain,
sQ20_spl,
inference(contradiction_clause,[status(thm)],[f353]) ).
fof(f356,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2)
| ~ holds(clear(a),do(putdown(X0,X1),X2))
| ~ holds(clear(b),do(putdown(X0,X1),X2))
| ~ holds(clear(d),do(putdown(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f347,f43]) ).
fof(f359,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| ~ 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(b),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(d),do(putdown(X0,X1),do(pickup(X0),X2))) ),
inference(resolution,[status(thm)],[f356,f35]) ).
fof(f422,plain,
( sQ29_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f260,f53]) ).
fof(f423,plain,
sQ29_spl,
inference(contradiction_clause,[status(thm)],[f422]) ).
fof(f448,plain,
( sQ16_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f173,f67]) ).
fof(f449,plain,
sQ16_spl,
inference(contradiction_clause,[status(thm)],[f448]) ).
fof(f575,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| ~ differ(b,X1)
| ~ holds(clear(b),do(pickup(X0),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(d),do(putdown(X0,X1),do(pickup(X0),X2))) ),
inference(resolution,[status(thm)],[f359,f51]) ).
fof(f690,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| ~ differ(b,X0)
| ~ holds(clear(b),X2)
| ~ differ(b,X1)
| ~ 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(d),do(putdown(X0,X1),do(pickup(X0),X2))) ),
inference(resolution,[status(thm)],[f575,f41]) ).
fof(f890,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| ~ differ(a,X1)
| ~ holds(clear(a),do(pickup(X0),X2))
| ~ differ(b,X0)
| ~ holds(clear(b),X2)
| ~ differ(b,X1)
| ~ differ(X0,table)
| ~ holds(clear(X0),X2)
| ~ holds(empty,X2)
| ~ holds(clear(X1),do(pickup(X0),X2))
| ~ holds(clear(d),do(putdown(X0,X1),do(pickup(X0),X2))) ),
inference(resolution,[status(thm)],[f690,f51]) ).
fof(f903,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| ~ differ(a,X0)
| ~ holds(clear(a),X2)
| ~ differ(a,X1)
| ~ differ(b,X0)
| ~ holds(clear(b),X2)
| ~ differ(b,X1)
| ~ differ(X0,table)
| ~ holds(clear(X0),X2)
| ~ holds(empty,X2)
| ~ holds(clear(X1),do(pickup(X0),X2))
| ~ holds(clear(d),do(putdown(X0,X1),do(pickup(X0),X2))) ),
inference(resolution,[status(thm)],[f890,f41]) ).
fof(f907,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| ~ differ(d,X0)
| ~ holds(clear(d),do(pickup(X1),X2))
| ~ differ(a,X1)
| ~ holds(clear(a),X2)
| ~ differ(a,X0)
| ~ differ(b,X1)
| ~ holds(clear(b),X2)
| ~ differ(b,X0)
| ~ differ(X1,table)
| ~ holds(clear(X1),X2)
| ~ holds(empty,X2)
| ~ holds(clear(X0),do(pickup(X1),X2)) ),
inference(resolution,[status(thm)],[f903,f51]) ).
fof(f914,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| ~ holds(empty,X2)
| ~ holds(clear(X1),X2)
| ~ holds(on(X1,d),X2)
| ~ differ(d,X0)
| ~ differ(a,X1)
| ~ holds(clear(a),X2)
| ~ differ(a,X0)
| ~ differ(b,X1)
| ~ holds(clear(b),X2)
| ~ differ(b,X0)
| ~ differ(X1,table)
| ~ holds(clear(X1),X2)
| ~ holds(empty,X2)
| ~ holds(clear(X0),do(pickup(X1),X2)) ),
inference(resolution,[status(thm)],[f907,f37]) ).
fof(f915,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| ~ holds(on(X1,d),X2)
| ~ differ(d,X0)
| ~ differ(a,X1)
| ~ holds(clear(a),X2)
| ~ differ(a,X0)
| ~ differ(b,X1)
| ~ holds(clear(b),X2)
| ~ differ(b,X0)
| ~ differ(X1,table)
| ~ holds(clear(X1),X2)
| ~ holds(empty,X2)
| ~ holds(clear(X0),do(pickup(X1),X2)) ),
inference(duplicate_literals_removal,[status(thm)],[f914]) ).
fof(f924,plain,
! [X0,X1] :
( ~ sQ41_spl
| ~ holds(on(X1,d),s0)
| ~ differ(d,X0)
| ~ differ(a,X1)
| ~ holds(clear(a),s0)
| ~ differ(a,X0)
| ~ differ(b,X1)
| ~ holds(clear(b),s0)
| ~ differ(b,X0)
| ~ differ(X1,table)
| ~ holds(clear(X1),s0)
| ~ holds(clear(X0),do(pickup(X1),s0)) ),
inference(resolution,[status(thm)],[f915,f70]) ).
fof(f925,definition,
! [X0,X1] :
( sQ115_spl
<=> ( ~ holds(on(X1,d),s0)
| ~ differ(d,X0)
| ~ differ(a,X1)
| ~ differ(a,X0)
| ~ differ(b,X1)
| ~ differ(b,X0)
| ~ differ(X1,table)
| ~ holds(clear(X1),s0)
| ~ holds(clear(X0),do(pickup(X1),s0)) ) ),
introduced(definition,[new_symbols(definition,[sQ115_spl])],[split_symbol_definition]) ).
fof(f926,plain,
! [X0,X1] :
( ~ sQ115_spl
| ~ holds(on(X1,d),s0)
| ~ differ(d,X0)
| ~ differ(a,X1)
| ~ differ(a,X0)
| ~ differ(b,X1)
| ~ differ(b,X0)
| ~ differ(X1,table)
| ~ holds(clear(X1),s0)
| ~ holds(clear(X0),do(pickup(X1),s0)) ),
inference(component_clause,[status(thm)],[f925]) ).
fof(f928,plain,
( ~ sQ41_spl
| ~ sQ16_spl
| ~ sQ12_spl
| sQ115_spl ),
inference(split_clause,[status(thm)],[f924,f925,f132,f171,f342]) ).
fof(f929,plain,
! [X0] :
( ~ sQ115_spl
| ~ differ(d,X0)
| ~ differ(a,c)
| ~ differ(a,X0)
| ~ differ(b,c)
| ~ differ(b,X0)
| ~ differ(c,table)
| ~ holds(clear(c),s0)
| ~ holds(clear(X0),do(pickup(c),s0)) ),
inference(resolution,[status(thm)],[f926,f65]) ).
fof(f930,definition,
! [X0] :
( sQ116_spl
<=> ( ~ differ(d,X0)
| ~ differ(a,X0)
| ~ differ(b,X0)
| ~ holds(clear(X0),do(pickup(c),s0)) ) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f931,plain,
! [X0] :
( ~ sQ116_spl
| ~ differ(d,X0)
| ~ differ(a,X0)
| ~ differ(b,X0)
| ~ holds(clear(X0),do(pickup(c),s0)) ),
inference(component_clause,[status(thm)],[f930]) ).
fof(f933,definition,
( sQ117_spl
<=> holds(clear(c),s0) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f935,plain,
( sQ117_spl
| ~ holds(clear(c),s0) ),
inference(component_clause,[status(thm)],[f933]) ).
fof(f936,definition,
( sQ118_spl
<=> differ(c,table) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f938,plain,
( sQ118_spl
| ~ differ(c,table) ),
inference(component_clause,[status(thm)],[f936]) ).
fof(f939,definition,
( sQ119_spl
<=> differ(b,c) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f941,plain,
( sQ119_spl
| ~ differ(b,c) ),
inference(component_clause,[status(thm)],[f939]) ).
fof(f942,definition,
( sQ120_spl
<=> differ(a,c) ),
introduced(definition,[new_symbols(definition,[sQ120_spl])],[split_symbol_definition]) ).
fof(f944,plain,
( sQ120_spl
| ~ differ(a,c) ),
inference(component_clause,[status(thm)],[f942]) ).
fof(f945,plain,
( ~ sQ115_spl
| ~ sQ120_spl
| ~ sQ119_spl
| ~ sQ118_spl
| ~ sQ117_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f929,f930,f933,f936,f939,f942,f925]) ).
fof(f946,plain,
( sQ120_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f944,f54]) ).
fof(f947,plain,
sQ120_spl,
inference(contradiction_clause,[status(thm)],[f946]) ).
fof(f948,plain,
( sQ119_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f941,f57]) ).
fof(f949,plain,
sQ119_spl,
inference(contradiction_clause,[status(thm)],[f948]) ).
fof(f950,plain,
( sQ118_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f938,f61]) ).
fof(f951,plain,
sQ118_spl,
inference(contradiction_clause,[status(thm)],[f950]) ).
fof(f952,plain,
( ~ sQ116_spl
| ~ differ(d,table)
| ~ differ(a,table)
| ~ differ(b,table) ),
inference(resolution,[status(thm)],[f931,f71]) ).
fof(f955,plain,
( ~ sQ116_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ20_spl ),
inference(split_clause,[status(thm)],[f952,f198,f98,f91,f930]) ).
fof(f960,plain,
( sQ117_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f935,f69]) ).
fof(f961,plain,
sQ117_spl,
inference(contradiction_clause,[status(thm)],[f960]) ).
fof(f962,plain,
$false,
inference(sat_refutation,[status(thm)],[f101,f111,f123,f137,f139,f157,f159,f165,f168,f237,f261,f269,f282,f338,f345,f354,f423,f449,f928,f945,f947,f949,f951,f955,f961]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA010-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.52 % Computer : n014.cluster.edu
% 0.11/0.52 % Model : x86_64 x86_64
% 0.11/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.52 % Memory : 8046.5625MB
% 0.11/0.52 % OS : Linux 6.8.0-71-generic
% 0.11/0.52 % CPULimit : 300
% 0.11/0.52 % WCLimit : 300
% 0.11/0.53 % DateTime : Mon Sep 21 03:31:35 UTC 2026
% 0.11/0.53 % CPUTime :
% 0.11/0.54 % Drodi V4.1.1
% 0.15/1.07 % Refutation found
% 0.15/1.07 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/1.07 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.58/1.11 % Elapsed time: 0.569127 seconds
% 1.58/1.11 % CPU time: 4.223012 seconds
% 1.58/1.11 % Total memory used: 164.620 MB
% 1.58/1.11 % Net memory used: 148.857 MB
%------------------------------------------------------------------------------