%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PLA008-1 : 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 : n002.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 12:27:41 PM UTC 2026
% Result : Unsatisfiable 3.21s 1.38s
% Output : Refutation 4.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 35
% Syntax : Number of formulae : 119 ( 31 unt; 7 def)
% Number of atoms : 491 ( 0 equ)
% Maximal formula atoms : 12 ( 4 avg)
% Number of connectives : 790 ( 418 ~; 365 |; 0 &)
% ( 7 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 9 usr; 8 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 116 ( 0 sgn 116 !; 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(f19,axiom,
differ(c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',differ_c_d) ).
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(b,d),on(a,c)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_BD_AC) ).
fof(f32,plain,
! [X0] :
( ~ holds(on(b,d),X0)
| ~ holds(on(a,c),X0) ),
inference(resolution,[],[f1,f31]) ).
fof(f33,plain,
! [X2,X0,X1] :
( ~ holds(on(a,c),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(c),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(c),do(pickup(a),X0)) ),
inference(forward_subsumption_resolution,[],[f38,f15]) ).
fof(f43,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(c),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(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(c),do(pickup(a),X0))
| ~ holds(clear(a),X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f50,plain,
( ! [X0] :
( ~ holds(clear(c),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(c),X0)
| ~ differ(c,a) )
| ~ spl0_2 ),
inference(resolution,[],[f50,f5]) ).
fof(f61,definition,
( spl0_3
<=> differ(c,a) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f63,plain,
( ~ differ(c,a)
| spl0_3 ),
inference(avatar_component_clause,[],[f61]) ).
fof(f65,definition,
( spl0_4
<=> ! [X0] :
( ~ holds(on(b,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f66,plain,
( ! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),X0)
| ~ holds(on(b,d),X0) )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f65]) ).
fof(f67,plain,
( ~ spl0_3
| spl0_4
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f58,f49,f65,f61]) ).
fof(f72,definition,
( spl0_5
<=> differ(d,b) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f73,plain,
( differ(d,b)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f74,plain,
( ~ differ(d,b)
| spl0_5 ),
inference(avatar_component_clause,[],[f72]) ).
fof(f79,plain,
( ~ differ(a,c)
| spl0_3 ),
inference(resolution,[],[f63,f11]) ).
fof(f80,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f79,f13]) ).
fof(f81,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f80]) ).
fof(f82,plain,
( ~ differ(b,d)
| spl0_5 ),
inference(resolution,[],[f74,f11]) ).
fof(f83,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f82,f17]) ).
fof(f84,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f83]) ).
fof(f85,plain,
( ! [X2,X0,X1] :
( ~ holds(holding(X0),X2)
| ~ holds(clear(a),do(putdown(X0,X1),X2))
| ~ holds(on(b,d),do(putdown(X0,X1),X2))
| ~ holds(clear(c),do(putdown(X0,X1),X2))
| ~ holds(clear(X1),X2) )
| ~ spl0_4 ),
inference(resolution,[],[f66,f6]) ).
fof(f101,plain,
( ! [X2,X0,X1] :
( ~ holds(on(b,d),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(a),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(c),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_4 ),
inference(resolution,[],[f85,f2]) ).
fof(f103,plain,
( ! [X0] :
( ~ holds(clear(a),do(putdown(b,d),do(pickup(b),X0)))
| ~ holds(clear(c),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_4 ),
inference(resolution,[],[f101,f37]) ).
fof(f105,plain,
( ! [X0] :
( ~ holds(clear(a),do(putdown(b,d),do(pickup(b),X0)))
| ~ holds(clear(c),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_4 ),
inference(duplicate_literal_removal,[],[f103]) ).
fof(f106,plain,
( ! [X0] :
( ~ holds(clear(c),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) )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f105,f18]) ).
fof(f111,plain,
( ! [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)
| ~ holds(clear(c),do(pickup(b),X0))
| ~ differ(c,d) )
| ~ spl0_4 ),
inference(resolution,[],[f106,f10]) ).
fof(f112,plain,
( ! [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)
| ~ holds(clear(c),do(pickup(b),X0)) )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f111,f19]) ).
fof(f127,plain,
( ! [X0] :
( ~ holds(clear(d),do(pickup(b),X0))
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(a),do(pickup(b),X0))
| ~ differ(a,d) )
| ~ spl0_4 ),
inference(resolution,[],[f112,f10]) ).
fof(f128,plain,
( ! [X0] :
( ~ holds(clear(d),do(pickup(b),X0))
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(a),do(pickup(b),X0)) )
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f127,f14]) ).
fof(f132,plain,
( ! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(d),X0)
| ~ differ(d,b) )
| ~ spl0_4 ),
inference(resolution,[],[f128,f5]) ).
fof(f134,plain,
( ! [X0] :
( ~ holds(clear(c),do(pickup(b),X0))
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(d),X0) )
| ~ spl0_4
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f132,f73]) ).
fof(f141,plain,
( ! [X0] :
( ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(d),X0)
| ~ holds(clear(c),X0)
| ~ differ(c,b) )
| ~ spl0_4
| ~ spl0_5 ),
inference(resolution,[],[f134,f5]) ).
fof(f144,definition,
( spl0_11
<=> differ(c,b) ),
introduced(definition,[new_symbols(definition,[spl0_11])],[avatar_definition]) ).
fof(f146,plain,
( ~ differ(c,b)
| spl0_11 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f148,definition,
( spl0_12
<=> ! [X0] :
( ~ holds(clear(b),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(empty,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f149,plain,
( ! [X0] :
( ~ holds(clear(a),do(pickup(b),X0))
| ~ holds(clear(c),X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f150,plain,
( ~ spl0_11
| spl0_12
| ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f141,f72,f65,f148,f144]) ).
fof(f156,plain,
( ~ differ(b,c)
| spl0_11 ),
inference(resolution,[],[f146,f11]) ).
fof(f157,plain,
( $false
| spl0_11 ),
inference(forward_subsumption_resolution,[],[f156,f16]) ).
fof(f158,plain,
spl0_11,
inference(avatar_contradiction_clause,[],[f157]) ).
fof(f210,plain,
( ! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ differ(a,b) )
| ~ spl0_12 ),
inference(resolution,[],[f149,f5]) ).
fof(f212,plain,
( ! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),X0) )
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f210,f12]) ).
fof(f217,plain,
( ! [X2,X0,X1] :
( ~ holds(holding(X0),X2)
| ~ holds(clear(b),do(putdown(X0,X1),X2))
| ~ holds(clear(c),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_12 ),
inference(resolution,[],[f212,f6]) ).
fof(f341,plain,
( ! [X2,X0,X1] :
( ~ holds(clear(d),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ holds(clear(c),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_12 ),
inference(resolution,[],[f217,f2]) ).
fof(f366,plain,
( ! [X2,X0,X1] :
( ~ holds(clear(d),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)
| ~ holds(clear(c),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ differ(d,X1) )
| ~ spl0_12 ),
inference(resolution,[],[f341,f10]) ).
fof(f578,plain,
( ! [X2,X0,X1] :
( ~ 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)
| ~ holds(clear(c),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ differ(d,X1)
| ~ holds(on(X0,d),X2)
| ~ holds(clear(X0),X2)
| ~ holds(empty,X2) )
| ~ spl0_12 ),
inference(resolution,[],[f366,f3]) ).
fof(f581,plain,
( ! [X2,X0,X1] :
( ~ holds(clear(c),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)
| ~ holds(clear(a),do(putdown(X0,X1),do(pickup(X0),X2)))
| ~ differ(d,X1)
| ~ holds(on(X0,d),X2) )
| ~ spl0_12 ),
inference(duplicate_literal_removal,[],[f578]) ).
fof(f687,plain,
( ! [X0,X1] :
( ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1)))
| ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(empty,X1)
| ~ holds(clear(c),X1)
| ~ differ(c,table)
| ~ holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))
| ~ differ(d,X0)
| ~ holds(on(c,d),X1)
| ~ holds(holding(c),do(pickup(c),X1))
| ~ holds(clear(X0),do(pickup(c),X1)) )
| ~ spl0_12 ),
inference(resolution,[],[f581,f8]) ).
fof(f688,plain,
( ! [X0,X1] :
( ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1)))
| ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(empty,X1)
| ~ holds(clear(c),X1)
| ~ differ(c,table)
| ~ holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))
| ~ differ(d,X0)
| ~ holds(on(c,d),X1)
| ~ holds(holding(c),do(pickup(c),X1)) )
| ~ spl0_12 ),
inference(duplicate_literal_removal,[],[f687]) ).
fof(f689,plain,
( ! [X0,X1] :
( ~ holds(holding(c),do(pickup(c),X1))
| ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(empty,X1)
| ~ holds(clear(c),X1)
| ~ holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))
| ~ differ(d,X0)
| ~ holds(on(c,d),X1)
| ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1))) )
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f688,f20]) ).
fof(f848,plain,
( ! [X0,X1] :
( ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(empty,X1)
| ~ holds(clear(c),X1)
| ~ holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))
| ~ differ(d,X0)
| ~ holds(on(c,d),X1)
| ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1)))
| ~ holds(empty,X1)
| ~ holds(clear(c),X1)
| ~ differ(c,table) )
| ~ spl0_12 ),
inference(resolution,[],[f689,f2]) ).
fof(f849,plain,
( ! [X0,X1] :
( ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(empty,X1)
| ~ holds(clear(c),X1)
| ~ holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))
| ~ differ(d,X0)
| ~ holds(on(c,d),X1)
| ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1)))
| ~ differ(c,table) )
| ~ spl0_12 ),
inference(duplicate_literal_removal,[],[f848]) ).
fof(f850,plain,
( ! [X0,X1] :
( ~ holds(clear(b),do(putdown(c,X0),do(pickup(c),X1)))
| ~ holds(empty,X1)
| ~ holds(clear(c),X1)
| ~ holds(clear(a),do(putdown(c,X0),do(pickup(c),X1)))
| ~ differ(d,X0)
| ~ holds(on(c,d),X1)
| ~ holds(clear(X0),do(pickup(c),X1)) )
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f849,f20]) ).
fof(f962,plain,
( ! [X0,X1] :
( ~ holds(clear(a),do(putdown(c,X1),do(pickup(c),X0)))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ differ(d,X1)
| ~ holds(on(c,d),X0)
| ~ holds(clear(X1),do(pickup(c),X0))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ differ(b,X1) )
| ~ spl0_12 ),
inference(resolution,[],[f850,f10]) ).
fof(f965,plain,
( ! [X0,X1] :
( ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ differ(d,X1)
| ~ holds(on(c,d),X0)
| ~ holds(clear(X1),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ differ(b,X1)
| ~ holds(clear(a),do(pickup(c),X0))
| ~ differ(a,X1) )
| ~ spl0_12 ),
inference(resolution,[],[f962,f10]) ).
fof(f970,plain,
( ! [X0,X1] :
( ~ holds(empty,X0)
| ~ differ(d,X1)
| ~ holds(on(c,d),X0)
| ~ holds(clear(X1),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ differ(b,X1)
| ~ holds(clear(a),do(pickup(c),X0))
| ~ differ(a,X1)
| ~ holds(clear(b),X0)
| ~ differ(b,c) )
| ~ spl0_12 ),
inference(resolution,[],[f965,f5]) ).
fof(f973,plain,
( ! [X0,X1] :
( ~ holds(clear(a),do(pickup(c),X0))
| ~ differ(d,X1)
| ~ holds(on(c,d),X0)
| ~ holds(clear(X1),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ differ(b,X1)
| ~ holds(empty,X0)
| ~ differ(a,X1)
| ~ holds(clear(b),X0) )
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f970,f16]) ).
fof(f978,plain,
( ! [X0,X1] :
( ~ differ(d,X0)
| ~ holds(on(c,d),X1)
| ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(clear(c),X1)
| ~ differ(b,X0)
| ~ holds(empty,X1)
| ~ differ(a,X0)
| ~ holds(clear(b),X1)
| ~ holds(clear(a),X1)
| ~ differ(a,c) )
| ~ spl0_12 ),
inference(resolution,[],[f973,f5]) ).
fof(f981,plain,
( ! [X0,X1] :
( ~ holds(empty,X1)
| ~ holds(on(c,d),X1)
| ~ holds(clear(X0),do(pickup(c),X1))
| ~ holds(clear(c),X1)
| ~ differ(b,X0)
| ~ differ(d,X0)
| ~ differ(a,X0)
| ~ holds(clear(b),X1)
| ~ holds(clear(a),X1) )
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f978,f13]) ).
fof(f986,plain,
( ! [X0] :
( ~ holds(on(c,d),s0)
| ~ holds(clear(X0),do(pickup(c),s0))
| ~ holds(clear(c),s0)
| ~ differ(b,X0)
| ~ differ(d,X0)
| ~ differ(a,X0)
| ~ holds(clear(b),s0)
| ~ holds(clear(a),s0) )
| ~ spl0_12 ),
inference(resolution,[],[f981,f29]) ).
fof(f987,plain,
( ! [X0] :
( ~ holds(clear(X0),do(pickup(c),s0))
| ~ holds(clear(c),s0)
| ~ differ(b,X0)
| ~ differ(d,X0)
| ~ differ(a,X0)
| ~ holds(clear(b),s0)
| ~ holds(clear(a),s0) )
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f986,f24]) ).
fof(f988,plain,
( ! [X0] :
( ~ holds(clear(X0),do(pickup(c),s0))
| ~ differ(b,X0)
| ~ differ(d,X0)
| ~ differ(a,X0)
| ~ holds(clear(b),s0)
| ~ holds(clear(a),s0) )
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f987,f28]) ).
fof(f989,plain,
( ! [X0] :
( ~ holds(clear(X0),do(pickup(c),s0))
| ~ differ(b,X0)
| ~ differ(d,X0)
| ~ differ(a,X0)
| ~ holds(clear(a),s0) )
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f988,f27]) ).
fof(f990,plain,
( ! [X0] :
( ~ holds(clear(X0),do(pickup(c),s0))
| ~ differ(b,X0)
| ~ differ(d,X0)
| ~ differ(a,X0) )
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f989,f26]) ).
fof(f996,plain,
( ~ differ(b,table)
| ~ differ(d,table)
| ~ differ(a,table)
| ~ spl0_12 ),
inference(resolution,[],[f990,f30]) ).
fof(f997,plain,
( ~ differ(d,table)
| ~ differ(a,table)
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f996,f18]) ).
fof(f999,plain,
( ~ differ(a,table)
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f997,f21]) ).
fof(f1001,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f999,f15]) ).
fof(f1002,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f1001]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f51]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f56]) ).
cnf(s3,plain,
( ~ spl0_2
| ~ spl0_3
| spl0_4 ),
inference(sat_conversion,[],[f67]) ).
cnf(s5,plain,
spl0_3,
inference(sat_conversion,[],[f81]) ).
cnf(s6,plain,
spl0_5,
inference(sat_conversion,[],[f84]) ).
cnf(s10,plain,
( ~ spl0_4
| ~ spl0_5
| ~ spl0_11
| spl0_12 ),
inference(sat_conversion,[],[f150]) ).
cnf(s11,plain,
spl0_11,
inference(sat_conversion,[],[f158]) ).
cnf(s20,plain,
~ spl0_12,
inference(sat_conversion,[],[f1002]) ).
cnf(s22,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(rat,[],[s10,s20,s11]) ).
cnf(s24,plain,
~ spl0_4,
inference(rat,[],[s22,s6]) ).
cnf(s28,plain,
~ spl0_2,
inference(rat,[],[s3,s24,s5]) ).
cnf(s29,plain,
$false,
inference(rat,[],[s1,s28,s2]) ).
fof(f1003,plain,
$false,
inference(avatar_sat_refutation,[],[s29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PLA008-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n002.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 22:11:52 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 3.21/1.38 % (3939868)Input is clausal, will run a generic CNF schedule.
% 3.21/1.38 % (3939877)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3379766986:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.21/1.38 % (3939877)Refutation not found, incomplete strategy
% 3.21/1.38 % (3939877)------------------------------
% 3.21/1.38 % (3939877)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.21/1.38 % (3939877)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/1.38 % (3939877)CaDiCaL version: 2.1.3
% 3.21/1.38 % (3939877)Termination reason: Refutation not found, incomplete strategy
% 3.21/1.38 % (3939877)Time elapsed: 0.001 s
% 3.21/1.38 % (3939877)Peak memory usage: 87 MB
% 3.21/1.38 % (3939876)lrs+10_1_sil=8000:sp=occurrence:random_seed=1200002971:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.21/1.38 % (3939879)dis-21_1_sil=8000:lcm=predicate:random_seed=827874055: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)
% 3.21/1.38 % (3939873)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=1906039907:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.21/1.38 % (3939874)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2399346882:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.21/1.38 % (3939875)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=24260520:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.21/1.38 % (3939878)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2251320607:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.21/1.38 % (3939876)Refutation not found, incomplete strategy
% 3.21/1.38 % (3939876)------------------------------
% 3.21/1.38 % (3939876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.21/1.38 % (3939876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/1.38 % (3939876)CaDiCaL version: 2.1.3
% 3.21/1.38 % (3939876)Termination reason: Refutation not found, incomplete strategy
% 3.21/1.38 % (3939876)Time elapsed: 0.001 s
% 3.21/1.38 % (3939876)Peak memory usage: 87 MB
% 3.21/1.38 % (3939876)Instructions burned: 1 (million)
% 3.21/1.38 % (3939879)Instruction limit reached!
% 3.21/1.38 % (3939879)------------------------------
% 3.21/1.38 % (3939879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.21/1.38 % (3939879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/1.38 % (3939879)CaDiCaL version: 2.1.3
% 3.21/1.38 % (3939879)Termination reason: Instruction limit
% 3.21/1.38 % (3939879)Termination phase: Saturation
% 3.21/1.38 % (3939879)Time elapsed: 0.066 s
% 3.21/1.38 % (3939879)Peak memory usage: 88 MB
% 3.21/1.38 % (3939879)Instructions burned: 118 (million)
% 3.21/1.38 % (3939878)First to succeed.
% 3.21/1.38 % (3939878)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3939868"
% 3.21/1.38 % (3939877)------------------------------
% 3.21/1.38 % (3939877)------------------------------
% 3.21/1.38 % (3939887)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=152552276:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.21/1.38 % (3939887)Refutation not found, incomplete strategy
% 3.21/1.38 % (3939887)------------------------------
% 3.21/1.38 % (3939887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.21/1.38 % (3939887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/1.38 % (3939887)CaDiCaL version: 2.1.3
% 3.21/1.38 % (3939887)Termination reason: Refutation not found, incomplete strategy
% 3.21/1.38 % (3939887)Time elapsed: 0.003 s
% 3.21/1.38 % (3939887)Peak memory usage: 88 MB
% 3.21/1.38 % (3939887)Instructions burned: 2 (million)
% 3.21/1.38 % (3939876)------------------------------
% 3.21/1.38 % (3939876)------------------------------
% 3.21/1.38 % (3939888)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2401519150:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.21/1.38 % (3939888)Refutation not found, incomplete strategy
% 3.21/1.38 % (3939888)------------------------------
% 3.21/1.38 % (3939888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.21/1.38 % (3939888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.21/1.38 % (3939888)CaDiCaL version: 2.1.3
% 3.21/1.38 % (3939888)Termination reason: Refutation not found, incomplete strategy
% 3.21/1.38 % (3939888)Time elapsed: 0.001 s
% 3.21/1.38 % (3939888)Peak memory usage: 87 MB
% 3.21/1.38 % (3939888)Instructions burned: 2 (million)
% 3.21/1.38 % (3939878)Refutation found. Thanks to Tanya!
% 3.21/1.38 % SZS status Unsatisfiable for theBenchmark
% 3.21/1.38 % SZS output start Proof for theBenchmark
% See solution above
% 4.10/1.48 % (3939878)------------------------------
% 4.10/1.48 % (3939878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.48 % (3939878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.48 % (3939878)CaDiCaL version: 2.1.3
% 4.10/1.48 % (3939878)Termination reason: Refutation
% 4.10/1.48 % (3939878)Time elapsed: 0.077 s
% 4.10/1.48 % (3939878)Peak memory usage: 90 MB
% 4.10/1.48 % (3939878)Instructions burned: 122 (million)
% 4.10/1.48 % (3939878)------------------------------
% 4.10/1.48 % (3939878)------------------------------
% 4.10/1.48 % (3939868)Success in time 0.509 s
% 4.10/1.48 % Vampire exiting
%------------------------------------------------------------------------------