%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PLA004-1 : TPTP v9.3.1. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 12:28:33 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.45s
% Output : Refutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 20
% Syntax : Number of formulae : 46 ( 14 unt; 0 def)
% Number of atoms : 134 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 200 ( 112 ~; 88 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 58 ( 58 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( holds(and(X0,X1),X2)
| ~ holds(X0,X2)
| ~ holds(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',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/sandbox2/benchmark/Axioms/PLA001-0.ax',pickup_1) ).
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/sandbox2/benchmark/Axioms/PLA001-0.ax',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/sandbox2/benchmark/Axioms/PLA001-0.ax',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/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_1) ).
fof(f7,axiom,
! [X2,X0,X1] :
( holds(on(X0,X1),do(putdown(X0,X1),X2))
| ~ holds(holding(X0),X2)
| ~ holds(clear(X1),X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',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/sandbox2/benchmark/Axioms/PLA001-0.ax',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/sandbox2/benchmark/Axioms/PLA001-0.ax',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/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_5) ).
fof(f11,axiom,
! [X0,X1] :
( ~ differ(X1,X0)
| differ(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',symmetry_of_differ) ).
fof(f12,axiom,
differ(a,b),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_b) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_c) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_b_c) ).
fof(f18,axiom,
differ(b,table),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_b_table) ).
fof(f20,axiom,
differ(c,table),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_c_table) ).
fof(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state5) ).
fof(f27,axiom,
holds(clear(b),s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state6) ).
fof(f28,axiom,
holds(clear(c),s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state7) ).
fof(f29,axiom,
holds(empty,s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state8) ).
fof(f31,negated_conjecture,
! [X0] : ~ holds(and(on(c,b),on(b,a)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_CBA) ).
fof(f34,plain,
differ(c,a),
inference(resolution,[],[f11,f13]) ).
fof(f36,plain,
differ(c,b),
inference(resolution,[],[f11,f16]) ).
fof(f42,plain,
! [X0] :
( ~ holds(on(c,b),X0)
| ~ holds(on(b,a),X0) ),
inference(resolution,[],[f1,f31]) ).
fof(f53,plain,
! [X0] :
( ~ holds(on(b,a),do(putdown(c,b),X0))
| ~ holds(clear(b),X0)
| ~ holds(holding(c),X0) ),
inference(resolution,[],[f7,f42]) ).
fof(f57,plain,
! [X0] :
( ~ holds(on(b,a),X0)
| ~ holds(holding(c),X0)
| ~ holds(clear(b),X0) ),
inference(resolution,[],[f53,f9]) ).
fof(f61,plain,
! [X0,X1] :
( ~ holds(clear(b),do(pickup(X0),X1))
| ~ holds(holding(c),do(pickup(X0),X1))
| ~ holds(on(b,a),X1)
| ~ differ(b,X0) ),
inference(resolution,[],[f57,f4]) ).
fof(f74,plain,
! [X0,X1] :
( ~ holds(holding(c),do(pickup(X0),X1))
| ~ holds(on(b,a),X1)
| ~ differ(b,X0)
| ~ holds(clear(b),X1)
| ~ differ(b,X0) ),
inference(resolution,[],[f61,f5]) ).
fof(f75,plain,
! [X0,X1] :
( ~ holds(holding(c),do(pickup(X0),X1))
| ~ holds(on(b,a),X1)
| ~ differ(b,X0)
| ~ holds(clear(b),X1) ),
inference(duplicate_literal_removal,[],[f74]) ).
fof(f76,plain,
! [X0] :
( ~ holds(on(b,a),X0)
| ~ differ(b,c)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table) ),
inference(resolution,[],[f75,f2]) ).
fof(f77,plain,
! [X0] :
( ~ holds(on(b,a),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table) ),
inference(forward_subsumption_resolution,[],[f76,f16]) ).
fof(f78,plain,
! [X0] :
( ~ holds(on(b,a),X0)
| ~ holds(clear(b),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0) ),
inference(forward_subsumption_resolution,[],[f77,f20]) ).
fof(f82,plain,
! [X0] :
( ~ holds(clear(b),do(putdown(b,a),X0))
| ~ holds(empty,do(putdown(b,a),X0))
| ~ holds(clear(c),do(putdown(b,a),X0))
| ~ holds(holding(b),X0)
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f78,f7]) ).
fof(f84,plain,
! [X0] :
( ~ holds(empty,do(putdown(b,a),X0))
| ~ holds(clear(c),do(putdown(b,a),X0))
| ~ holds(holding(b),X0)
| ~ holds(clear(a),X0) ),
inference(forward_subsumption_resolution,[],[f82,f8]) ).
fof(f85,plain,
! [X0] :
( ~ holds(clear(c),do(putdown(b,a),X0))
| ~ holds(holding(b),X0)
| ~ holds(clear(a),X0) ),
inference(forward_subsumption_resolution,[],[f84,f6]) ).
fof(f86,plain,
! [X0] :
( ~ holds(holding(b),X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(c),X0)
| ~ differ(c,a) ),
inference(resolution,[],[f85,f10]) ).
fof(f87,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(clear(a),X0)
| ~ holds(holding(b),X0) ),
inference(forward_subsumption_resolution,[],[f86,f34]) ).
fof(f89,plain,
! [X0,X1] :
( ~ holds(clear(a),do(pickup(X0),X1))
| ~ holds(holding(b),do(pickup(X0),X1))
| ~ holds(clear(c),X1)
| ~ differ(c,X0) ),
inference(resolution,[],[f87,f5]) ).
fof(f105,plain,
! [X0,X1] :
( ~ holds(holding(b),do(pickup(X0),X1))
| ~ holds(clear(c),X1)
| ~ differ(c,X0)
| ~ holds(clear(a),X1)
| ~ differ(a,X0) ),
inference(resolution,[],[f89,f5]) ).
fof(f108,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ differ(c,b)
| ~ holds(clear(a),X0)
| ~ differ(a,b)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ differ(b,table) ),
inference(resolution,[],[f105,f2]) ).
fof(f109,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(clear(a),X0)
| ~ differ(a,b)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ differ(b,table) ),
inference(forward_subsumption_resolution,[],[f108,f36]) ).
fof(f110,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ differ(b,table) ),
inference(forward_subsumption_resolution,[],[f109,f12]) ).
fof(f111,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0) ),
inference(forward_subsumption_resolution,[],[f110,f18]) ).
fof(f129,plain,
( ~ holds(clear(a),s0)
| ~ holds(empty,s0)
| ~ holds(clear(b),s0) ),
inference(resolution,[],[f111,f28]) ).
fof(f130,plain,
( ~ holds(empty,s0)
| ~ holds(clear(b),s0) ),
inference(forward_subsumption_resolution,[],[f129,f26]) ).
fof(f132,plain,
~ holds(clear(b),s0),
inference(forward_subsumption_resolution,[],[f130,f29]) ).
fof(f133,plain,
$false,
inference(forward_subsumption_resolution,[],[f132,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA004-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.38 % Computer : n003.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 22:10:42 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.45 % (965179)Will run a generic schedule for satisfiability detection.
% 0.09/0.45 % (965187)dis+10_1_sil=32000:sp=arity:random_seed=2477774958:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.45 % (965187) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-965179-965187"...
% 0.09/0.45 % (965187)...printing done.
% 0.09/0.45 % (965185)% WARNING: option uhcvi not known.
% 0.09/0.45 % (965184)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2732890691_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.45 % (965187)Refutation found. Thanks to Tanya!
% 0.09/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/0.46 % (965187)------------------------------
% 0.27/0.46 % (965187)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.46 % (965187)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.46 % (965187)CaDiCaL version: 2.1.3
% 0.27/0.46 % (965187)Termination reason: Refutation
% 0.27/0.46 % (965187)Time elapsed: 0.002 s
% 0.27/0.46 % (965187)Peak memory usage: 11 MB
% 0.27/0.46 % (965187)Instructions burned: 6 (million)
% 0.27/0.46 % (965179)Success in time 0.032 s
% 0.27/0.46 % Vampire exiting
%------------------------------------------------------------------------------