%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PLA015-1 : 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 : n011.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 12:27:43 PM UTC 2026
% Result : Unsatisfiable 4.47s 1.67s
% Output : Refutation 5.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 31
% Syntax : Number of formulae : 102 ( 25 unt; 4 def)
% Number of atoms : 462 ( 0 equ)
% Maximal formula atoms : 13 ( 4 avg)
% Number of connectives : 768 ( 408 ~; 356 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 5 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 113 ( 0 sgn 113 !; 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,b),on(b,d)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_ABD) ).
fof(f32,plain,
! [X0] :
( ~ holds(on(b,d),X0)
| ~ holds(on(a,b),X0) ),
inference(resolution,[],[f1,f31]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ holds(on(a,b),do(putdown(X1,X2),X0))
| ~ holds(on(b,d),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(b),do(pickup(a),X0))
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ differ(a,table)
| ~ holds(on(b,d),do(pickup(a),X0)) ),
inference(resolution,[],[f37,f33]) ).
fof(f41,plain,
! [X0] :
( ~ holds(on(b,d),do(pickup(a),X0))
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(b),do(pickup(a),X0)) ),
inference(forward_subsumption_resolution,[],[f38,f15]) ).
fof(f43,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(b),do(pickup(a),X0))
| ~ holds(on(b,d),X0)
| ~ differ(b,a) ),
inference(resolution,[],[f41,f4]) ).
fof(f45,definition,
( spl0_1
<=> differ(b,a) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f46,plain,
( differ(b,a)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f47,plain,
( ~ differ(b,a)
| spl0_1 ),
inference(avatar_component_clause,[],[f45]) ).
fof(f49,definition,
( spl0_2
<=> ! [X0] :
( ~ holds(empty,X0)
| ~ holds(on(b,d),X0)
| ~ holds(clear(b),do(pickup(a),X0))
| ~ holds(clear(a),X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f50,plain,
( ! [X0] :
( ~ holds(clear(b),do(pickup(a),X0))
| ~ holds(on(b,d),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,b)
| spl0_1 ),
inference(resolution,[],[f47,f11]) ).
fof(f55,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f54,f12]) ).
fof(f56,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f55]) ).
fof(f58,plain,
( ! [X0] :
( ~ holds(on(b,d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(b),X0)
| ~ differ(b,a) )
| ~ spl0_2 ),
inference(resolution,[],[f50,f5]) ).
fof(f60,plain,
( ! [X0] :
( ~ holds(empty,X0)
| ~ holds(on(b,d),X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(b),X0) )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f58,f46]) ).
fof(f65,definition,
( spl0_3
<=> differ(d,b) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f66,plain,
( differ(d,b)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f67,plain,
( ~ differ(d,b)
| spl0_3 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f72,plain,
( ~ differ(b,d)
| spl0_3 ),
inference(resolution,[],[f67,f11]) ).
fof(f73,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f72,f17]) ).
fof(f74,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f73]) ).
fof(f75,plain,
( ! [X2,X0,X1] :
( ~ holds(holding(X0),X2)
| ~ holds(clear(a),do(putdown(X0,X1),X2))
| ~ holds(clear(b),do(putdown(X0,X1),X2))
| ~ holds(on(b,d),do(putdown(X0,X1),X2))
| ~ holds(clear(X1),X2) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f60,f6]) ).
fof(f91,plain,
( ! [X2,X0,X1] :
( ~ holds(on(b,d),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(b),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,[],[f75,f2]) ).
fof(f93,plain,
( ! [X0] :
( ~ holds(clear(b),do(putdown(b,d),do(pickup(b),X0)))
| ~ holds(clear(a),do(putdown(b,d),do(pickup(b),X0)))
| ~ holds(clear(d),do(pickup(b),X0))
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ differ(b,table)
| ~ holds(clear(d),do(pickup(b),X0))
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ differ(b,table) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f91,f37]) ).
fof(f95,plain,
( ! [X0] :
( ~ holds(clear(b),do(putdown(b,d),do(pickup(b),X0)))
| ~ holds(clear(a),do(putdown(b,d),do(pickup(b),X0)))
| ~ holds(clear(d),do(pickup(b),X0))
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ differ(b,table) )
| ~ spl0_1
| ~ spl0_2 ),
inference(duplicate_literal_removal,[],[f93]) ).
fof(f96,plain,
( ! [X0] :
( ~ holds(clear(a),do(putdown(b,d),do(pickup(b),X0)))
| ~ holds(clear(b),do(putdown(b,d),do(pickup(b),X0)))
| ~ holds(clear(d),do(pickup(b),X0))
| ~ holds(empty,X0)
| ~ holds(clear(b),X0) )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f95,f18]) ).
fof(f101,plain,
( ! [X0] :
( ~ holds(clear(b),do(putdown(b,d),do(pickup(b),X0)))
| ~ holds(clear(d),do(pickup(b),X0))
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),do(pickup(b),X0))
| ~ differ(a,d) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f96,f10]) ).
fof(f102,plain,
( ! [X0] :
( ~ holds(clear(d),do(pickup(b),X0))
| ~ holds(clear(b),do(putdown(b,d),do(pickup(b),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),do(pickup(b),X0)) )
| ~ spl0_1
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f101,f14]) ).
fof(f106,plain,
( ! [X0] :
( ~ holds(clear(b),do(putdown(b,d),do(pickup(b),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(d),X0)
| ~ differ(d,b) )
| ~ spl0_1
| ~ spl0_2 ),
inference(resolution,[],[f102,f5]) ).
fof(f108,plain,
( ! [X0] :
( ~ holds(clear(b),do(putdown(b,d),do(pickup(b),X0)))
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(d),X0) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f106,f66]) ).
fof(f111,plain,
( ! [X0] :
( ~ holds(holding(b),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(pickup(b),X0)) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f108,f8]) ).
fof(f123,definition,
( spl0_8
<=> ! [X0] :
( ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(a),do(pickup(b),X0)) ) ),
introduced(definition,[new_symbols(definition,[spl0_8])],[avatar_definition]) ).
fof(f124,plain,
( ! [X0] :
( ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(b),X0) )
| ~ spl0_8 ),
inference(avatar_component_clause,[],[f123]) ).
fof(f190,plain,
( ! [X0] :
( ~ holds(clear(b),X0)
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(pickup(b),X0))
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ differ(b,table) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f111,f2]) ).
fof(f191,plain,
( ! [X0] :
( ~ holds(clear(b),X0)
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),do(pickup(b),X0))
| ~ differ(b,table) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(duplicate_literal_removal,[],[f190]) ).
fof(f192,plain,
( ! [X0] :
( ~ holds(clear(d),do(pickup(b),X0))
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f191,f18]) ).
fof(f194,plain,
( ! [X0] :
( ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(d),X0)
| ~ differ(d,b) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(resolution,[],[f192,f5]) ).
fof(f195,plain,
( ! [X0] :
( ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ differ(d,b) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(duplicate_literal_removal,[],[f194]) ).
fof(f197,plain,
( ! [X0] :
( ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0) )
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f195,f66]) ).
fof(f198,plain,
( spl0_8
| ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f197,f65,f49,f45,f123]) ).
fof(f203,plain,
( ! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),X0)
| ~ differ(a,b) )
| ~ spl0_8 ),
inference(resolution,[],[f124,f5]) ).
fof(f205,plain,
( ! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),X0) )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f203,f12]) ).
fof(f209,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_8 ),
inference(resolution,[],[f205,f6]) ).
fof(f247,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_8 ),
inference(resolution,[],[f209,f2]) ).
fof(f268,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_8 ),
inference(resolution,[],[f247,f10]) ).
fof(f364,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_8 ),
inference(resolution,[],[f268,f3]) ).
fof(f367,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_8 ),
inference(duplicate_literal_removal,[],[f364]) ).
fof(f432,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_8 ),
inference(resolution,[],[f367,f10]) ).
fof(f480,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_8 ),
inference(resolution,[],[f432,f5]) ).
fof(f606,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_8 ),
inference(resolution,[],[f480,f10]) ).
fof(f624,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_8 ),
inference(resolution,[],[f606,f5]) ).
fof(f641,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_8 ),
inference(resolution,[],[f624,f29]) ).
fof(f642,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_8 ),
inference(forward_subsumption_resolution,[],[f641,f27]) ).
fof(f643,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_8 ),
inference(forward_subsumption_resolution,[],[f642,f26]) ).
fof(f648,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_8 ),
inference(resolution,[],[f643,f24]) ).
fof(f649,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_8 ),
inference(forward_subsumption_resolution,[],[f648,f20]) ).
fof(f650,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_8 ),
inference(forward_subsumption_resolution,[],[f649,f16]) ).
fof(f651,plain,
( ! [X0] :
( ~ differ(d,X0)
| ~ holds(clear(X0),do(pickup(c),s0))
| ~ differ(b,X0)
| ~ differ(a,X0)
| ~ differ(a,c) )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f650,f28]) ).
fof(f652,plain,
( ! [X0] :
( ~ holds(clear(X0),do(pickup(c),s0))
| ~ differ(d,X0)
| ~ differ(b,X0)
| ~ differ(a,X0) )
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f651,f13]) ).
fof(f659,plain,
( ~ differ(d,table)
| ~ differ(b,table)
| ~ differ(a,table)
| ~ spl0_8 ),
inference(resolution,[],[f652,f30]) ).
fof(f660,plain,
( ~ differ(b,table)
| ~ differ(a,table)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f659,f21]) ).
fof(f662,plain,
( ~ differ(a,table)
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f660,f18]) ).
fof(f664,plain,
( $false
| ~ spl0_8 ),
inference(forward_subsumption_resolution,[],[f662,f15]) ).
fof(f665,plain,
~ spl0_8,
inference(avatar_contradiction_clause,[],[f664]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f51]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f56]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f74]) ).
cnf(s10,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3
| spl0_8 ),
inference(sat_conversion,[],[f198]) ).
cnf(s16,plain,
~ spl0_8,
inference(sat_conversion,[],[f665]) ).
cnf(s17,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(rat,[],[s10,s16]) ).
cnf(s20,plain,
~ spl0_2,
inference(rat,[],[s17,s4,s2]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s1,s20,s2]) ).
fof(f666,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA015-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 % Computer : n011.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sun Sep 27 22:10:00 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.46 Running first-order theorem proving
% 0.15/0.46 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
% 4.47/1.67 % (2809200)Input is clausal, will run a generic CNF schedule.
% 4.47/1.67 % (2809206)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2658951722:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.47/1.67 % (2809209)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=325319917:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.47/1.67 % (2809209)Refutation not found, incomplete strategy
% 4.47/1.67 % (2809209)------------------------------
% 4.47/1.67 % (2809209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.67 % (2809209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.67 % (2809209)CaDiCaL version: 2.1.3
% 4.47/1.67 % (2809209)Termination reason: Refutation not found, incomplete strategy
% 4.47/1.67 % (2809209)Time elapsed: 0.002 s
% 4.47/1.67 % (2809209)Peak memory usage: 87 MB
% 4.47/1.67 % (2809205)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=1003130637:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.47/1.67 % (2809210)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1500190435:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.47/1.67 % (2809211)dis-21_1_sil=8000:lcm=predicate:random_seed=258339323: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)
% 4.47/1.67 % (2809207)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2085031047:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.47/1.67 % (2809210)First to succeed.
% 4.47/1.67 % (2809210)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2809200"
% 4.47/1.67 % (2809208)lrs+10_1_sil=8000:sp=occurrence:random_seed=44511773:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.47/1.67 % (2809208)Refutation not found, incomplete strategy
% 4.47/1.67 % (2809208)------------------------------
% 4.47/1.67 % (2809208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.67 % (2809208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.67 % (2809208)CaDiCaL version: 2.1.3
% 4.47/1.67 % (2809208)Termination reason: Refutation not found, incomplete strategy
% 4.47/1.67 % (2809208)Time elapsed: 0.002 s
% 4.47/1.67 % (2809208)Peak memory usage: 87 MB
% 4.47/1.67 % (2809208)Instructions burned: 1 (million)
% 4.47/1.67 % (2809211)Instruction limit reached!
% 4.47/1.67 % (2809211)------------------------------
% 4.47/1.67 % (2809211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.67 % (2809211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.67 % (2809211)CaDiCaL version: 2.1.3
% 4.47/1.67 % (2809211)Termination reason: Instruction limit
% 4.47/1.67 % (2809211)Termination phase: Saturation
% 4.47/1.67 % (2809211)Time elapsed: 0.100 s
% 4.47/1.67 % (2809211)Peak memory usage: 88 MB
% 4.47/1.67 % (2809211)Instructions burned: 118 (million)
% 4.47/1.67 % (2809209)------------------------------
% 4.47/1.67 % (2809209)------------------------------
% 4.47/1.67 % (2809219)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=3547564307:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 4.47/1.67 % (2809219)Refutation not found, incomplete strategy
% 4.47/1.67 % (2809219)------------------------------
% 4.47/1.67 % (2809219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.47/1.67 % (2809219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.47/1.67 % (2809219)CaDiCaL version: 2.1.3
% 4.47/1.67 % (2809219)Termination reason: Refutation not found, incomplete strategy
% 4.47/1.67 % (2809219)Time elapsed: 0.004 s
% 4.47/1.67 % (2809219)Peak memory usage: 88 MB
% 4.47/1.67 % (2809219)Instructions burned: 2 (million)
% 4.47/1.67 % (2809210)Refutation found. Thanks to Tanya!
% 4.47/1.67 % SZS status Unsatisfiable for theBenchmark
% 4.47/1.67 % SZS output start Proof for theBenchmark
% See solution above
% 5.39/1.89 % (2809210)------------------------------
% 5.39/1.89 % (2809210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.39/1.89 % (2809210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.39/1.89 % (2809210)CaDiCaL version: 2.1.3
% 5.39/1.89 % (2809210)Termination reason: Refutation
% 5.39/1.89 % (2809210)Time elapsed: 0.072 s
% 5.39/1.89 % (2809210)Peak memory usage: 90 MB
% 5.39/1.89 % (2809210)Instructions burned: 75 (million)
% 5.39/1.89 % (2809210)------------------------------
% 5.39/1.89 % (2809210)------------------------------
% 5.39/1.89 % (2809200)Success in time 0.768 s
% 5.39/1.89 % Vampire exiting
%------------------------------------------------------------------------------