%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PLA010-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 : Tue Sep 29 12:27:42 PM UTC 2026
% Result : Unsatisfiable 4.91s 1.67s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 45
% Number of leaves : 29
% Syntax : Number of formulae : 88 ( 21 unt; 2 def)
% Number of atoms : 427 ( 0 equ)
% Maximal formula atoms : 14 ( 4 avg)
% Number of connectives : 724 ( 385 ~; 337 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 109 ( 0 sgn 109 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( holds(and(X0,X1),X2)
| ~ holds(X0,X2)
| ~ holds(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',and_definition) ).
fof(f2,axiom,
! [X0,X1] :
( holds(holding(X0),do(pickup(X0),X1))
| ~ holds(empty,X1)
| ~ holds(clear(X0),X1)
| ~ differ(X0,table) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_1) ).
fof(f3,axiom,
! [X2,X0,X1] :
( holds(clear(X0),do(pickup(X1),X2))
| ~ holds(on(X1,X0),X2)
| ~ holds(clear(X1),X2)
| ~ holds(empty,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_2) ).
fof(f4,axiom,
! [X2,X3,X0,X1] :
( holds(on(X0,X1),do(pickup(X2),X3))
| ~ holds(on(X0,X1),X3)
| ~ differ(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_3) ).
fof(f5,axiom,
! [X2,X0,X1] :
( holds(clear(X0),do(pickup(X1),X2))
| ~ holds(clear(X0),X2)
| ~ differ(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',pickup_4) ).
fof(f6,axiom,
! [X2,X0,X1] :
( holds(empty,do(putdown(X0,X1),X2))
| ~ holds(holding(X0),X2)
| ~ holds(clear(X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_1) ).
fof(f7,axiom,
! [X2,X0,X1] :
( ~ holds(holding(X0),X2)
| holds(on(X0,X1),do(putdown(X0,X1),X2))
| ~ holds(clear(X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_2) ).
fof(f8,axiom,
! [X2,X0,X1] :
( holds(clear(X0),do(putdown(X0,X1),X2))
| ~ holds(holding(X0),X2)
| ~ holds(clear(X1),X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_3) ).
fof(f9,axiom,
! [X2,X3,X0,X1,X4] :
( holds(on(X0,X1),do(putdown(X2,X3),X4))
| ~ holds(on(X0,X1),X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_4) ).
fof(f10,axiom,
! [X2,X3,X0,X1] :
( holds(clear(X0),do(putdown(X1,X2),X3))
| ~ holds(clear(X0),X3)
| ~ differ(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',putdown_5) ).
fof(f11,axiom,
! [X0,X1] :
( differ(X0,X1)
| ~ differ(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',symmetry_of_differ) ).
fof(f12,axiom,
differ(a,b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_b) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_c) ).
fof(f14,axiom,
differ(a,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_d) ).
fof(f15,axiom,
differ(a,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_a_table) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_b_c) ).
fof(f17,axiom,
differ(b,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_b_d) ).
fof(f18,axiom,
differ(b,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_b_table) ).
fof(f20,axiom,
differ(c,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_c_table) ).
fof(f21,axiom,
differ(d,table),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_d_table) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state3) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state5) ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state6) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state7) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state8) ).
fof(f30,axiom,
! [X0] : holds(clear(table),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clear_table) ).
fof(f31,negated_conjecture,
! [X0] : ~ holds(and(on(a,d),on(d,b)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ADB) ).
fof(f32,plain,
! [X0] :
( ~ holds(on(d,b),X0)
| ~ holds(on(a,d),X0) ),
inference(resolution,[],[f1,f31]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ holds(on(a,d),do(putdown(X1,X2),X0))
| ~ holds(on(d,b),X0) ),
inference(resolution,[],[f9,f32]) ).
fof(f37,plain,
! [X2,X0,X1] :
( holds(on(X0,X1),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(X1),do(pickup(X0),X2))
| ~ holds(empty,X2)
| ~ holds(clear(X0),X2)
| ~ differ(X0,table) ),
inference(resolution,[],[f7,f2]) ).
fof(f38,plain,
! [X0] :
( ~ holds(clear(d),do(pickup(a),X0))
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ differ(a,table)
| ~ holds(on(d,b),do(pickup(a),X0)) ),
inference(resolution,[],[f37,f33]) ).
fof(f41,plain,
! [X0] :
( ~ holds(on(d,b),do(pickup(a),X0))
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(d),do(pickup(a),X0)) ),
inference(forward_subsumption_resolution,[],[f38,f15]) ).
fof(f43,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(d),do(pickup(a),X0))
| ~ holds(on(d,b),X0)
| ~ differ(d,a) ),
inference(resolution,[],[f41,f4]) ).
fof(f45,definition,
( spl0_1
<=> differ(d,a) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f46,plain,
( differ(d,a)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f47,plain,
( ~ differ(d,a)
| spl0_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f49,definition,
( spl0_2
<=> ! [X0] :
( ~ holds(empty,X0)
| ~ holds(on(d,b),X0)
| ~ holds(clear(d),do(pickup(a),X0))
| ~ holds(clear(a),X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f50,plain,
( ! [X0] :
( ~ holds(clear(d),do(pickup(a),X0))
| ~ holds(on(d,b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f49]) ).
fof(f51,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f43,f49,f45]) ).
fof(f54,plain,
( ~ differ(a,d)
| spl0_1 ),
inference(resolution,[],[f47,f11]) ).
fof(f55,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f54,f14]) ).
fof(f56,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f55]) ).
fof(f58,plain,
( ! [X0] :
( ~ holds(on(d,b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(d),X0)
| ~ differ(d,a) )
| ~ spl0_2 ),
inference(resolution,[],[f50,f5]) ).
fof(f60,plain,
( ! [X0] :
( ~ holds(empty,X0)
| ~ holds(on(d,b),X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(d),X0) )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f58,f46]) ).
fof(f65,plain,
( ! [X2,X0,X1] :
( ~ holds(holding(X0),X2)
| ~ holds(clear(a),do(putdown(X0,X1),X2))
| ~ holds(clear(d),do(putdown(X0,X1),X2))
| ~ holds(on(d,b),do(putdown(X0,X1),X2))
| ~ holds(clear(X1),X2) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f60,f6]) ).
fof(f85,plain,
( ! [X2,X0,X1] :
( ~ holds(on(d,b),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(d),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(a),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(X1),do(pickup(X0),X2))
| ~ holds(empty,X2)
| ~ holds(clear(X0),X2)
| ~ differ(X0,table) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f65,f2]) ).
fof(f87,plain,
( ! [X0] :
( ~ holds(clear(d),do(putdown(d,b),do(pickup(d),X0)))
| ~ holds(clear(a),do(putdown(d,b),do(pickup(d),X0)))
| ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ differ(d,table)
| ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ differ(d,table) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f85,f37]) ).
fof(f89,plain,
( ! [X0] :
( ~ holds(clear(d),do(putdown(d,b),do(pickup(d),X0)))
| ~ holds(clear(a),do(putdown(d,b),do(pickup(d),X0)))
| ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ differ(d,table) )
| ~ spl0_1
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f87]) ).
fof(f90,plain,
( ! [X0] :
( ~ holds(clear(a),do(putdown(d,b),do(pickup(d),X0)))
| ~ holds(clear(d),do(putdown(d,b),do(pickup(d),X0)))
| ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(empty,X0)
| ~ holds(clear(d),X0) )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f89,f21]) ).
fof(f91,plain,
( ! [X0] :
( ~ holds(clear(d),do(putdown(d,b),do(pickup(d),X0)))
| ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(a),do(pickup(d),X0))
| ~ differ(a,b) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f90,f10]) ).
fof(f92,plain,
( ! [X0] :
( ~ holds(clear(d),do(putdown(d,b),do(pickup(d),X0)))
| ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(a),do(pickup(d),X0)) )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f91,f12]) ).
fof(f98,plain,
( ! [X0] :
( ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(a),do(pickup(d),X0))
| ~ holds(holding(d),do(pickup(d),X0))
| ~ holds(clear(b),do(pickup(d),X0)) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f92,f8]) ).
fof(f99,plain,
( ! [X0] :
( ~ holds(holding(d),do(pickup(d),X0))
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(a),do(pickup(d),X0))
| ~ holds(clear(b),do(pickup(d),X0)) )
| ~ spl0_1
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f98]) ).
fof(f127,plain,
( ! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(a),do(pickup(d),X0))
| ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ differ(d,table) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f99,f2]) ).
fof(f128,plain,
( ! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(a),do(pickup(d),X0))
| ~ holds(clear(b),do(pickup(d),X0))
| ~ differ(d,table) )
| ~ spl0_1
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f127]) ).
fof(f129,plain,
( ! [X0] :
( ~ holds(clear(b),do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(clear(a),do(pickup(d),X0))
| ~ holds(empty,X0) )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f128,f21]) ).
fof(f136,plain,
( ! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(clear(a),do(pickup(d),X0))
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ differ(b,d) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f129,f5]) ).
fof(f138,plain,
( ! [X0] :
( ~ holds(clear(a),do(pickup(d),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0) )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f136,f17]) ).
fof(f140,plain,
( ! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),X0)
| ~ differ(a,d) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f138,f5]) ).
fof(f142,plain,
( ! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),X0) )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f140,f14]) ).
fof(f146,plain,
( ! [X2,X0,X1] :
( ~ holds(holding(X0),X2)
| ~ holds(clear(b),do(putdown(X0,X1),X2))
| ~ holds(clear(a),do(putdown(X0,X1),X2))
| ~ holds(clear(d),do(putdown(X0,X1),X2))
| ~ holds(clear(X1),X2) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f142,f6]) ).
fof(f168,plain,
( ! [X2,X0,X1] :
( ~ holds(clear(d),do(putdown(X0,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(X1),do(pickup(X0),X2))
| ~ holds(empty,X2)
| ~ holds(clear(X0),X2)
| ~ differ(X0,table) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f146,f2]) ).
fof(f250,plain,
( ! [X2,X0,X1] :
( ~ holds(clear(d),do(pickup(X0),X2))
| ~ holds(clear(b),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(X1),do(pickup(X0),X2))
| ~ holds(empty,X2)
| ~ holds(clear(X0),X2)
| ~ differ(X0,table)
| ~ holds(clear(a),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ differ(d,X1) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f168,f10]) ).
fof(f263,plain,
( ! [X2,X0,X1] :
( ~ holds(clear(b),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(X1),do(pickup(X0),X2))
| ~ holds(empty,X2)
| ~ holds(clear(X0),X2)
| ~ differ(X0,table)
| ~ holds(clear(a),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ differ(d,X1)
| ~ holds(on(X0,d),X2)
| ~ holds(clear(X0),X2)
| ~ holds(empty,X2) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f250,f3]) ).
fof(f266,plain,
( ! [X2,X0,X1] :
( ~ holds(clear(b),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(X1),do(pickup(X0),X2))
| ~ holds(empty,X2)
| ~ holds(clear(X0),X2)
| ~ differ(X0,table)
| ~ holds(clear(a),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ differ(d,X1)
| ~ holds(on(X0,d),X2) )
| ~ spl0_1
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f263]) ).
fof(f268,plain,
( ! [X2,X0,X1] :
( ~ holds(clear(b),do(pickup(X1),X2))
| ~ holds(empty,X2)
| ~ holds(clear(X1),X2)
| ~ differ(X1,table)
| ~ holds(clear(a),do(putdown(X1,X0),do(pickup(X1),X2)))
| ~ differ(d,X0)
| ~ holds(on(X1,d),X2)
| ~ holds(clear(X0),do(pickup(X1),X2))
| ~ differ(b,X0) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f266,f10]) ).
fof(f329,plain,
( ! [X2,X0,X1] :
( ~ holds(clear(a),do(putdown(X1,X2),do(pickup(X1),X0)))
| ~ holds(clear(X1),X0)
| ~ differ(X1,table)
| ~ holds(empty,X0)
| ~ differ(d,X2)
| ~ holds(on(X1,d),X0)
| ~ holds(clear(X2),do(pickup(X1),X0))
| ~ differ(b,X2)
| ~ holds(clear(b),X0)
| ~ differ(b,X1) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f268,f5]) ).
fof(f363,plain,
( ! [X2,X0,X1] :
( ~ holds(clear(a),do(pickup(X0),X1))
| ~ differ(X0,table)
| ~ holds(empty,X1)
| ~ differ(d,X2)
| ~ holds(on(X0,d),X1)
| ~ holds(clear(X2),do(pickup(X0),X1))
| ~ differ(b,X2)
| ~ holds(clear(b),X1)
| ~ differ(b,X0)
| ~ holds(clear(X0),X1)
| ~ differ(a,X2) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f329,f10]) ).
fof(f393,plain,
( ! [X2,X0,X1] :
( ~ holds(empty,X1)
| ~ differ(X0,table)
| ~ differ(d,X2)
| ~ holds(on(X0,d),X1)
| ~ holds(clear(X2),do(pickup(X0),X1))
| ~ differ(b,X2)
| ~ holds(clear(b),X1)
| ~ differ(b,X0)
| ~ holds(clear(X0),X1)
| ~ differ(a,X2)
| ~ holds(clear(a),X1)
| ~ differ(a,X0) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f363,f5]) ).
fof(f403,plain,
( ! [X0,X1] :
( ~ differ(X0,table)
| ~ differ(d,X1)
| ~ holds(on(X0,d),s0)
| ~ holds(clear(X1),do(pickup(X0),s0))
| ~ differ(b,X1)
| ~ holds(clear(b),s0)
| ~ differ(b,X0)
| ~ holds(clear(X0),s0)
| ~ differ(a,X1)
| ~ holds(clear(a),s0)
| ~ differ(a,X0) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f393,f29]) ).
fof(f404,plain,
( ! [X0,X1] :
( ~ differ(X0,table)
| ~ differ(d,X1)
| ~ holds(on(X0,d),s0)
| ~ holds(clear(X1),do(pickup(X0),s0))
| ~ differ(b,X1)
| ~ differ(b,X0)
| ~ holds(clear(X0),s0)
| ~ differ(a,X1)
| ~ holds(clear(a),s0)
| ~ differ(a,X0) )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f403,f27]) ).
fof(f405,plain,
( ! [X0,X1] :
( ~ holds(on(X0,d),s0)
| ~ differ(d,X1)
| ~ differ(X0,table)
| ~ holds(clear(X1),do(pickup(X0),s0))
| ~ differ(b,X1)
| ~ differ(b,X0)
| ~ holds(clear(X0),s0)
| ~ differ(a,X1)
| ~ differ(a,X0) )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f404,f26]) ).
fof(f409,plain,
( ! [X0] :
( ~ differ(d,X0)
| ~ differ(c,table)
| ~ holds(clear(X0),do(pickup(c),s0))
| ~ differ(b,X0)
| ~ differ(b,c)
| ~ holds(clear(c),s0)
| ~ differ(a,X0)
| ~ differ(a,c) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f405,f24]) ).
fof(f410,plain,
( ! [X0] :
( ~ differ(d,X0)
| ~ holds(clear(X0),do(pickup(c),s0))
| ~ differ(b,X0)
| ~ differ(b,c)
| ~ holds(clear(c),s0)
| ~ differ(a,X0)
| ~ differ(a,c) )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f409,f20]) ).
fof(f411,plain,
( ! [X0] :
( ~ differ(d,X0)
| ~ holds(clear(X0),do(pickup(c),s0))
| ~ differ(b,X0)
| ~ holds(clear(c),s0)
| ~ differ(a,X0)
| ~ differ(a,c) )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f410,f16]) ).
fof(f412,plain,
( ! [X0] :
( ~ differ(d,X0)
| ~ holds(clear(X0),do(pickup(c),s0))
| ~ differ(b,X0)
| ~ differ(a,X0)
| ~ differ(a,c) )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f411,f28]) ).
fof(f413,plain,
( ! [X0] :
( ~ holds(clear(X0),do(pickup(c),s0))
| ~ differ(d,X0)
| ~ differ(b,X0)
| ~ differ(a,X0) )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f412,f13]) ).
fof(f419,plain,
( ~ differ(d,table)
| ~ differ(b,table)
| ~ differ(a,table)
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f413,f30]) ).
fof(f420,plain,
( ~ differ(b,table)
| ~ differ(a,table)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f419,f21]) ).
fof(f422,plain,
( ~ differ(a,table)
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f420,f18]) ).
fof(f424,plain,
( $false
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f422,f15]) ).
fof(f425,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_contradiction_clause,[],[f424]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f51]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f56]) ).
cnf(s15,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f425]) ).
cnf(s18,plain,
~ spl0_2,
inference(rat,[],[s15,s2]) ).
cnf(s19,plain,
$false,
inference(rat,[],[s1,s18,s2]) ).
fof(f426,plain,
$false,
inference(avatar_sat_refutation,[],[s19]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA010-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.42 % Computer : n003.cluster.edu
% 0.14/0.42 % Model : x86_64 x86_64
% 0.14/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42 % Memory : 8046.5625MB
% 0.14/0.42 % OS : Linux 6.8.0-71-generic
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Sun Sep 27 22:11:26 UTC 2026
% 0.14/0.42 % CPUTime :
% 0.14/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.48 Running first-order theorem proving
% 0.23/0.48 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.91/1.67 % (967134)Input is clausal, will run a generic CNF schedule.
% 4.91/1.67 % (967142)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1946751872:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.91/1.67 % (967147)dis-21_1_sil=8000:lcm=predicate:random_seed=3648543365:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 4.91/1.67 % (967146)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1704092354:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.91/1.67 % (967141)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1391244268:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.91/1.67 % (967144)lrs+10_1_sil=8000:sp=occurrence:random_seed=2059849839:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.91/1.67 % (967143)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=521554612:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.91/1.67 % (967145)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1041428389:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.91/1.67 % (967145)Refutation not found, incomplete strategy
% 4.91/1.67 % (967145)------------------------------
% 4.91/1.67 % (967145)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.91/1.67 % (967145)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/1.67 % (967145)CaDiCaL version: 2.1.3
% 4.91/1.67 % (967145)Termination reason: Refutation not found, incomplete strategy
% 4.91/1.67 % (967145)Time elapsed: 0.002 s
% 4.91/1.67 % (967145)Peak memory usage: 87 MB
% 4.91/1.67 % (967144)Refutation not found, incomplete strategy
% 4.91/1.67 % (967144)------------------------------
% 4.91/1.67 % (967144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.91/1.67 % (967144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/1.67 % (967144)CaDiCaL version: 2.1.3
% 4.91/1.67 % (967144)Termination reason: Refutation not found, incomplete strategy
% 4.91/1.67 % (967144)Time elapsed: 0.002 s
% 4.91/1.67 % (967144)Peak memory usage: 87 MB
% 4.91/1.67 % (967144)Instructions burned: 1 (million)
% 4.91/1.67 % (967146)First to succeed.
% 4.91/1.67 % (967146)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-967134"
% 4.91/1.67 % (967147)Instruction limit reached!
% 4.91/1.67 % (967147)------------------------------
% 4.91/1.67 % (967147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.91/1.67 % (967147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.91/1.67 % (967147)CaDiCaL version: 2.1.3
% 4.91/1.67 % (967147)Termination reason: Instruction limit
% 4.91/1.67 % (967147)Termination phase: Saturation
% 4.91/1.67 % (967147)Time elapsed: 0.110 s
% 4.91/1.67 % (967147)Peak memory usage: 88 MB
% 4.91/1.67 % (967147)Instructions burned: 118 (million)
% 4.91/1.67 % (967155)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2956928531:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 4.91/1.67 % (967144)------------------------------
% 4.91/1.67 % (967144)------------------------------
% 4.91/1.67 % (967145)------------------------------
% 4.91/1.67 % (967145)------------------------------
% 4.91/1.67 % (967146)Refutation found. Thanks to Tanya!
% 4.91/1.67 % SZS status Unsatisfiable for theBenchmark
% 4.91/1.67 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/1.91 % (967146)------------------------------
% 0.23/1.91 % (967146)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.23/1.91 % (967146)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/1.91 % (967146)CaDiCaL version: 2.1.3
% 0.23/1.91 % (967146)Termination reason: Refutation
% 0.23/1.91 % (967146)Time elapsed: 0.048 s
% 0.23/1.91 % (967146)Peak memory usage: 89 MB
% 0.23/1.91 % (967146)Instructions burned: 44 (million)
% 0.23/1.91 % (967146)------------------------------
% 0.23/1.91 % (967146)------------------------------
% 0.23/1.91 % (967134)Success in time 0.727 s
% 0.23/1.91 % Vampire exiting
%------------------------------------------------------------------------------