%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : PLA012-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : 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 01:58:31 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.48s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 48
% Syntax : Number of formulae : 178 ( 36 unt; 25 def)
% Number of atoms : 634 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 935 ( 479 ~; 431 |; 0 &)
% ( 25 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 28 ( 27 usr; 26 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 188 ( 188 !; 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(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(f19,axiom,
differ(c,d),
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(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(d,b),on(b,c)),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(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(f60,plain,
differ(c,d),
inference(cnf_transformation,[status(thm)],[f19]) ).
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(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(d,b),on(b,c)),X0),
inference(cnf_transformation,[status(thm)],[f31]) ).
fof(f73,plain,
! [X0] :
( ~ holds(on(b,c),X0)
| ~ holds(on(d,b),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(b,c),do(putdown(d,b),do(pickup(d),X0)))
| ~ differ(d,table)
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(d),X0)) ),
inference(resolution,[status(thm)],[f77,f73]) ).
fof(f91,definition,
( sQ3_spl
<=> differ(b,table) ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f93,plain,
( sQ3_spl
| ~ differ(b,table) ),
inference(component_clause,[status(thm)],[f91]) ).
fof(f95,definition,
! [X0] :
( sQ4_spl
<=> ( ~ holds(on(b,c),do(putdown(d,b),do(pickup(d),X0)))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(d),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f96,plain,
! [X0] :
( ~ sQ4_spl
| ~ holds(on(b,c),do(putdown(d,b),do(pickup(d),X0)))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(d),X0)) ),
inference(component_clause,[status(thm)],[f95]) ).
fof(f98,definition,
( sQ5_spl
<=> differ(d,table) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f100,plain,
( sQ5_spl
| ~ differ(d,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(d,b) ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f108,plain,
( sQ7_spl
| ~ differ(d,b) ),
inference(component_clause,[status(thm)],[f106]) ).
fof(f110,plain,
( sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f93,f59]) ).
fof(f111,plain,
sQ3_spl,
inference(contradiction_clause,[status(thm)],[f110]) ).
fof(f117,definition,
( sQ9_spl
<=> differ(c,b) ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f119,plain,
( sQ9_spl
| ~ differ(c,b) ),
inference(component_clause,[status(thm)],[f117]) ).
fof(f122,plain,
( sQ7_spl
| ~ differ(b,d) ),
inference(resolution,[status(thm)],[f108,f52]) ).
fof(f123,plain,
( sQ7_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f122,f58]) ).
fof(f124,plain,
sQ7_spl,
inference(contradiction_clause,[status(thm)],[f123]) ).
fof(f127,definition,
( sQ10_spl
<=> holds(clear(b),s0) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f129,plain,
( sQ10_spl
| ~ holds(clear(b),s0) ),
inference(component_clause,[status(thm)],[f127]) ).
fof(f133,definition,
( sQ12_spl
<=> holds(clear(c),s0) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f135,plain,
( sQ12_spl
| ~ holds(clear(c),s0) ),
inference(component_clause,[status(thm)],[f133]) ).
fof(f137,plain,
( sQ12_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f135,f69]) ).
fof(f138,plain,
sQ12_spl,
inference(contradiction_clause,[status(thm)],[f137]) ).
fof(f139,plain,
( sQ9_spl
| ~ differ(b,c) ),
inference(resolution,[status(thm)],[f119,f52]) ).
fof(f140,plain,
( sQ9_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f139,f57]) ).
fof(f141,plain,
sQ9_spl,
inference(contradiction_clause,[status(thm)],[f140]) ).
fof(f142,plain,
( sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f129,f68]) ).
fof(f143,plain,
sQ10_spl,
inference(contradiction_clause,[status(thm)],[f142]) ).
fof(f144,plain,
! [X0] :
( ~ sQ4_spl
| ~ holds(on(b,c),do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(d),X0)) ),
inference(resolution,[status(thm)],[f96,f49]) ).
fof(f154,plain,
! [X0] :
( ~ sQ4_spl
| ~ differ(b,d)
| ~ holds(on(b,c),X0)
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(d),X0)) ),
inference(resolution,[status(thm)],[f144,f39]) ).
fof(f155,definition,
! [X0] :
( sQ13_spl
<=> ( ~ holds(on(b,c),X0)
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(d),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f156,plain,
! [X0] :
( ~ sQ13_spl
| ~ holds(on(b,c),X0)
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(pickup(d),X0)) ),
inference(component_clause,[status(thm)],[f155]) ).
fof(f158,definition,
( sQ14_spl
<=> differ(b,d) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f160,plain,
( sQ14_spl
| ~ differ(b,d) ),
inference(component_clause,[status(thm)],[f158]) ).
fof(f161,plain,
( ~ sQ4_spl
| ~ sQ14_spl
| sQ13_spl ),
inference(split_clause,[status(thm)],[f154,f155,f158,f95]) ).
fof(f162,plain,
( sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f100,f62]) ).
fof(f163,plain,
sQ5_spl,
inference(contradiction_clause,[status(thm)],[f162]) ).
fof(f165,plain,
! [X0] :
( ~ sQ13_spl
| ~ differ(b,d)
| ~ holds(clear(b),X0)
| ~ holds(on(b,c),X0)
| ~ holds(clear(d),X0)
| ~ holds(empty,X0) ),
inference(resolution,[status(thm)],[f156,f41]) ).
fof(f167,definition,
! [X0] :
( sQ15_spl
<=> ( ~ holds(clear(b),X0)
| ~ holds(on(b,c),X0)
| ~ holds(clear(d),X0)
| ~ holds(empty,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f168,plain,
! [X0] :
( ~ sQ15_spl
| ~ holds(clear(b),X0)
| ~ holds(on(b,c),X0)
| ~ holds(clear(d),X0)
| ~ holds(empty,X0) ),
inference(component_clause,[status(thm)],[f167]) ).
fof(f170,plain,
( ~ sQ13_spl
| ~ sQ14_spl
| sQ15_spl ),
inference(split_clause,[status(thm)],[f165,f167,f158,f155]) ).
fof(f172,plain,
( sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f160,f58]) ).
fof(f173,plain,
sQ14_spl,
inference(contradiction_clause,[status(thm)],[f172]) ).
fof(f174,plain,
! [X0,X1,X2] :
( ~ sQ15_spl
| ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2)
| ~ holds(clear(b),do(putdown(X0,X1),X2))
| ~ holds(on(b,c),do(putdown(X0,X1),X2))
| ~ holds(clear(d),do(putdown(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f168,f43]) ).
fof(f190,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(b),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(on(b,c),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(d),do(putdown(X0,X1),do(pickup(X0),X2))) ),
inference(resolution,[status(thm)],[f174,f35]) ).
fof(f202,definition,
( sQ20_spl
<=> differ(c,table) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f204,plain,
( sQ20_spl
| ~ differ(c,table) ),
inference(component_clause,[status(thm)],[f202]) ).
fof(f227,definition,
( sQ25_spl
<=> differ(c,d) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f229,plain,
( sQ25_spl
| ~ differ(c,d) ),
inference(component_clause,[status(thm)],[f227]) ).
fof(f232,plain,
( sQ25_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f229,f60]) ).
fof(f233,plain,
sQ25_spl,
inference(contradiction_clause,[status(thm)],[f232]) ).
fof(f234,plain,
! [X0] :
( ~ sQ15_spl
| ~ differ(b,table)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),do(pickup(b),X0))
| ~ differ(b,table)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(b),do(putdown(b,c),do(pickup(b),X0)))
| ~ holds(clear(d),do(putdown(b,c),do(pickup(b),X0))) ),
inference(resolution,[status(thm)],[f190,f77]) ).
fof(f236,definition,
! [X0] :
( sQ26_spl
<=> ( ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(b),do(putdown(b,c),do(pickup(b),X0)))
| ~ holds(clear(d),do(putdown(b,c),do(pickup(b),X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f237,plain,
! [X0] :
( ~ sQ26_spl
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(b),do(putdown(b,c),do(pickup(b),X0)))
| ~ holds(clear(d),do(putdown(b,c),do(pickup(b),X0))) ),
inference(component_clause,[status(thm)],[f236]) ).
fof(f239,plain,
( ~ sQ15_spl
| ~ sQ3_spl
| sQ26_spl ),
inference(split_clause,[status(thm)],[f234,f236,f91,f167]) ).
fof(f240,plain,
! [X0] :
( ~ sQ26_spl
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(b),do(putdown(b,c),do(pickup(b),X0)))
| ~ holds(clear(d),do(putdown(b,c),do(pickup(b),X0))) ),
inference(duplicate_literals_removal,[status(thm)],[f237]) ).
fof(f257,plain,
! [X0] :
( ~ sQ26_spl
| ~ differ(d,c)
| ~ holds(clear(d),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(b),do(putdown(b,c),do(pickup(b),X0))) ),
inference(resolution,[status(thm)],[f240,f51]) ).
fof(f258,definition,
! [X0] :
( sQ28_spl
<=> ( ~ holds(clear(d),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(b),do(putdown(b,c),do(pickup(b),X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f259,plain,
! [X0] :
( ~ sQ28_spl
| ~ holds(clear(d),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(b),do(putdown(b,c),do(pickup(b),X0))) ),
inference(component_clause,[status(thm)],[f258]) ).
fof(f261,definition,
( sQ29_spl
<=> differ(d,c) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f263,plain,
( sQ29_spl
| ~ differ(d,c) ),
inference(component_clause,[status(thm)],[f261]) ).
fof(f264,plain,
( ~ sQ26_spl
| ~ sQ29_spl
| sQ28_spl ),
inference(split_clause,[status(thm)],[f257,f258,f261,f236]) ).
fof(f266,plain,
! [X0] :
( ~ sQ28_spl
| ~ differ(c,b)
| ~ holds(clear(c),X0)
| ~ holds(clear(d),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(putdown(b,c),do(pickup(b),X0))) ),
inference(resolution,[status(thm)],[f259,f41]) ).
fof(f270,definition,
! [X0] :
( sQ30_spl
<=> ( ~ holds(clear(c),X0)
| ~ holds(clear(d),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(putdown(b,c),do(pickup(b),X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f271,plain,
! [X0] :
( ~ sQ30_spl
| ~ holds(clear(c),X0)
| ~ holds(clear(d),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(putdown(b,c),do(pickup(b),X0))) ),
inference(component_clause,[status(thm)],[f270]) ).
fof(f273,plain,
( ~ sQ28_spl
| ~ sQ9_spl
| sQ30_spl ),
inference(split_clause,[status(thm)],[f266,f270,f117,f258]) ).
fof(f280,plain,
! [X0] :
( ~ sQ30_spl
| ~ differ(d,b)
| ~ holds(clear(d),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(putdown(b,c),do(pickup(b),X0))) ),
inference(resolution,[status(thm)],[f271,f41]) ).
fof(f282,definition,
! [X0] :
( sQ32_spl
<=> ( ~ holds(clear(d),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(putdown(b,c),do(pickup(b),X0))) ) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f283,plain,
! [X0] :
( ~ sQ32_spl
| ~ holds(clear(d),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),do(putdown(b,c),do(pickup(b),X0))) ),
inference(component_clause,[status(thm)],[f282]) ).
fof(f285,plain,
( ~ sQ30_spl
| ~ sQ7_spl
| sQ32_spl ),
inference(split_clause,[status(thm)],[f280,f282,f106,f270]) ).
fof(f287,plain,
! [X0] :
( ~ sQ32_spl
| ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(holding(b),do(pickup(b),X0))
| ~ holds(clear(d),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0) ),
inference(resolution,[status(thm)],[f283,f47]) ).
fof(f292,definition,
( sQ34_spl
<=> differ(b,c) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f294,plain,
( sQ34_spl
| ~ differ(b,c) ),
inference(component_clause,[status(thm)],[f292]) ).
fof(f303,plain,
( sQ34_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f294,f57]) ).
fof(f304,plain,
sQ34_spl,
inference(contradiction_clause,[status(thm)],[f303]) ).
fof(f337,plain,
! [X0] :
( ~ sQ32_spl
| ~ differ(b,table)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(d),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0) ),
inference(resolution,[status(thm)],[f287,f35]) ).
fof(f338,definition,
! [X0] :
( sQ40_spl
<=> ( ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(d),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f339,plain,
! [X0] :
( ~ sQ40_spl
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(d),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0) ),
inference(component_clause,[status(thm)],[f338]) ).
fof(f341,plain,
( ~ sQ32_spl
| ~ sQ3_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f337,f338,f91,f282]) ).
fof(f342,plain,
! [X0] :
( ~ sQ40_spl
| ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(d),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f339]) ).
fof(f343,plain,
! [X0] :
( ~ sQ40_spl
| ~ differ(c,b)
| ~ holds(clear(c),X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0) ),
inference(resolution,[status(thm)],[f342,f41]) ).
fof(f345,definition,
! [X0] :
( sQ41_spl
<=> ( ~ holds(clear(c),X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0) ) ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f346,plain,
! [X0] :
( ~ sQ41_spl
| ~ holds(clear(c),X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0) ),
inference(component_clause,[status(thm)],[f345]) ).
fof(f348,plain,
( ~ sQ40_spl
| ~ sQ9_spl
| sQ41_spl ),
inference(split_clause,[status(thm)],[f343,f345,f117,f338]) ).
fof(f350,plain,
! [X0] :
( ~ sQ41_spl
| ~ holds(clear(d),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0) ),
inference(duplicate_literals_removal,[status(thm)],[f346]) ).
fof(f356,plain,
( sQ20_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f204,f61]) ).
fof(f357,plain,
sQ20_spl,
inference(contradiction_clause,[status(thm)],[f356]) ).
fof(f359,plain,
! [X0,X1,X2] :
( ~ sQ41_spl
| ~ holds(clear(X1),X2)
| ~ holds(holding(X0),X2)
| ~ holds(clear(d),do(putdown(X0,X1),X2))
| ~ holds(clear(c),do(putdown(X0,X1),X2))
| ~ holds(clear(b),do(putdown(X0,X1),X2)) ),
inference(resolution,[status(thm)],[f350,f43]) ).
fof(f362,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(d),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(c),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(b),do(putdown(X0,X1),do(pickup(X0),X2))) ),
inference(resolution,[status(thm)],[f359,f35]) ).
fof(f426,plain,
( sQ29_spl
| ~ differ(c,d) ),
inference(resolution,[status(thm)],[f263,f52]) ).
fof(f427,plain,
( sQ29_spl
| ~ sQ25_spl ),
inference(split_clause,[status(thm)],[f426,f227,f261]) ).
fof(f574,plain,
! [X0,X1] :
( ~ sQ41_spl
| ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(holding(c),do(pickup(c),X1))
| ~ differ(c,table)
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(clear(d),do(putdown(c,X0),do(pickup(c),X1)))
| ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1))) ),
inference(resolution,[status(thm)],[f362,f47]) ).
fof(f578,definition,
! [X0,X1] :
( sQ70_spl
<=> ( ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(holding(c),do(pickup(c),X1))
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(clear(d),do(putdown(c,X0),do(pickup(c),X1)))
| ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1))) ) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f579,plain,
! [X0,X1] :
( ~ sQ70_spl
| ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(holding(c),do(pickup(c),X1))
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(clear(d),do(putdown(c,X0),do(pickup(c),X1)))
| ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1))) ),
inference(component_clause,[status(thm)],[f578]) ).
fof(f581,plain,
( ~ sQ41_spl
| ~ sQ20_spl
| sQ70_spl ),
inference(split_clause,[status(thm)],[f574,f578,f202,f345]) ).
fof(f586,plain,
! [X0,X1] :
( ~ sQ70_spl
| ~ holds(holding(c),do(pickup(c),X1))
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(clear(d),do(putdown(c,X0),do(pickup(c),X1)))
| ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1))) ),
inference(duplicate_literals_removal,[status(thm)],[f579]) ).
fof(f588,plain,
! [X0,X1] :
( ~ sQ70_spl
| ~ differ(c,table)
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(clear(d),do(putdown(c,X0),do(pickup(c),X1)))
| ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1))) ),
inference(resolution,[status(thm)],[f586,f35]) ).
fof(f589,definition,
! [X0,X1] :
( sQ72_spl
<=> ( ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(clear(d),do(putdown(c,X0),do(pickup(c),X1)))
| ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1))) ) ),
introduced(definition,[new_symbols(definition,[sQ72_spl])],[split_symbol_definition]) ).
fof(f590,plain,
! [X0,X1] :
( ~ sQ72_spl
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(clear(d),do(putdown(c,X0),do(pickup(c),X1)))
| ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1))) ),
inference(component_clause,[status(thm)],[f589]) ).
fof(f592,plain,
( ~ sQ70_spl
| ~ sQ20_spl
| sQ72_spl ),
inference(split_clause,[status(thm)],[f588,f589,f202,f578]) ).
fof(f593,plain,
! [X0,X1] :
( ~ sQ72_spl
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(clear(d),do(putdown(c,X0),do(pickup(c),X1)))
| ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1))) ),
inference(duplicate_literals_removal,[status(thm)],[f590]) ).
fof(f594,plain,
! [X0,X1] :
( ~ sQ72_spl
| ~ differ(d,X0)
| ~ holds(clear(d),do(pickup(c),X1))
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1))) ),
inference(resolution,[status(thm)],[f593,f51]) ).
fof(f595,plain,
! [X0,X1] :
( ~ sQ72_spl
| ~ differ(b,X0)
| ~ holds(clear(b),do(pickup(c),X1))
| ~ differ(d,X0)
| ~ holds(clear(d),do(pickup(c),X1))
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1)) ),
inference(resolution,[status(thm)],[f594,f51]) ).
fof(f597,plain,
! [X0,X1] :
( ~ sQ72_spl
| ~ holds(empty,X1)
| ~ holds(clear(c),X1)
| ~ holds(on(c,d),X1)
| ~ differ(b,X0)
| ~ holds(clear(b),do(pickup(c),X1))
| ~ differ(d,X0)
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1)) ),
inference(resolution,[status(thm)],[f595,f37]) ).
fof(f602,plain,
! [X0,X1] :
( ~ sQ72_spl
| ~ holds(on(c,d),X1)
| ~ differ(b,X0)
| ~ holds(clear(b),do(pickup(c),X1))
| ~ differ(d,X0)
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1)) ),
inference(duplicate_literals_removal,[status(thm)],[f597]) ).
fof(f613,definition,
! [X0] :
( sQ75_spl
<=> ( ~ differ(b,X0)
| ~ differ(d,X0)
| ~ holds(clear(X0),do(pickup(c),s0)) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f614,plain,
! [X0] :
( ~ sQ75_spl
| ~ differ(b,X0)
| ~ differ(d,X0)
| ~ holds(clear(X0),do(pickup(c),s0)) ),
inference(component_clause,[status(thm)],[f613]) ).
fof(f617,plain,
! [X0,X1] :
( ~ sQ72_spl
| ~ differ(b,c)
| ~ holds(clear(b),X1)
| ~ holds(on(c,d),X1)
| ~ differ(b,X0)
| ~ differ(d,X0)
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1)) ),
inference(resolution,[status(thm)],[f602,f41]) ).
fof(f619,definition,
! [X0,X1] :
( sQ76_spl
<=> ( ~ holds(clear(b),X1)
| ~ holds(on(c,d),X1)
| ~ differ(b,X0)
| ~ differ(d,X0)
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f620,plain,
! [X0,X1] :
( ~ sQ76_spl
| ~ holds(clear(b),X1)
| ~ holds(on(c,d),X1)
| ~ differ(b,X0)
| ~ differ(d,X0)
| ~ holds(clear(c),X1)
| ~ holds(empty,X1)
| ~ holds(clear(X0),do(pickup(c),X1)) ),
inference(component_clause,[status(thm)],[f619]) ).
fof(f622,plain,
( ~ sQ72_spl
| ~ sQ34_spl
| sQ76_spl ),
inference(split_clause,[status(thm)],[f617,f619,f292,f589]) ).
fof(f625,plain,
! [X0] :
( ~ sQ76_spl
| ~ holds(clear(b),s0)
| ~ holds(on(c,d),s0)
| ~ differ(b,X0)
| ~ differ(d,X0)
| ~ holds(clear(c),s0)
| ~ holds(clear(X0),do(pickup(c),s0)) ),
inference(resolution,[status(thm)],[f620,f70]) ).
fof(f626,definition,
( sQ77_spl
<=> holds(on(c,d),s0) ),
introduced(definition,[new_symbols(definition,[sQ77_spl])],[split_symbol_definition]) ).
fof(f628,plain,
( sQ77_spl
| ~ holds(on(c,d),s0) ),
inference(component_clause,[status(thm)],[f626]) ).
fof(f629,plain,
( ~ sQ76_spl
| ~ sQ10_spl
| ~ sQ77_spl
| ~ sQ12_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f625,f613,f133,f626,f127,f619]) ).
fof(f630,plain,
( ~ sQ75_spl
| ~ differ(b,table)
| ~ differ(d,table) ),
inference(resolution,[status(thm)],[f614,f71]) ).
fof(f633,plain,
( ~ sQ75_spl
| ~ sQ3_spl
| ~ sQ5_spl ),
inference(split_clause,[status(thm)],[f630,f98,f91,f613]) ).
fof(f641,plain,
( sQ77_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f628,f65]) ).
fof(f642,plain,
sQ77_spl,
inference(contradiction_clause,[status(thm)],[f641]) ).
fof(f643,plain,
$false,
inference(sat_refutation,[status(thm)],[f101,f111,f124,f138,f141,f143,f161,f163,f170,f173,f233,f239,f264,f273,f285,f304,f341,f348,f357,f427,f581,f592,f622,f629,f633,f642]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA012-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.34 % Computer : n009.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Mon Sep 21 03:31:58 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.48 % Refutation found
% 0.12/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.12/0.50 % Elapsed time: 0.143514 seconds
% 0.12/0.50 % CPU time: 0.906069 seconds
% 0.12/0.50 % Total memory used: 80.594 MB
% 0.12/0.50 % Net memory used: 77.922 MB
%------------------------------------------------------------------------------