%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PLA013-1 : 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 : n017.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 12:28:35 PM UTC 2026
% Result : Unsatisfiable 0.11s 0.45s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 20
% Syntax : Number of formulae : 50 ( 13 unt; 0 def)
% Number of atoms : 172 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 272 ( 150 ~; 122 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 4 ( 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 : 66 ( 66 !; 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(holding(X0),X2)
| holds(on(X0,X1),do(putdown(X0,X1),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(f15,axiom,
differ(a,table),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_table) ).
fof(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_b_c) ).
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(a,c),on(c,b)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ACB) ).
fof(f34,plain,
differ(c,a),
inference(resolution,[],[f11,f13]) ).
fof(f42,plain,
! [X0] :
( ~ holds(on(c,b),X0)
| ~ holds(on(a,c),X0) ),
inference(resolution,[],[f1,f31]) ).
fof(f43,plain,
! [X2,X0,X1] :
( ~ holds(on(a,c),do(putdown(X1,X2),X0))
| ~ holds(on(c,b),X0) ),
inference(resolution,[],[f9,f42]) ).
fof(f48,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(f58,plain,
! [X0] :
( ~ holds(clear(c),do(pickup(a),X0))
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ differ(a,table)
| ~ holds(on(c,b),do(pickup(a),X0)) ),
inference(resolution,[],[f48,f43]) ).
fof(f61,plain,
! [X0] :
( ~ holds(on(c,b),do(pickup(a),X0))
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(c),do(pickup(a),X0)) ),
inference(forward_subsumption_resolution,[],[f58,f15]) ).
fof(f63,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(c),do(pickup(a),X0))
| ~ holds(on(c,b),X0)
| ~ differ(c,a) ),
inference(resolution,[],[f61,f4]) ).
fof(f64,plain,
! [X0] :
( ~ holds(clear(c),do(pickup(a),X0))
| ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,b),X0) ),
inference(forward_subsumption_resolution,[],[f63,f34]) ).
fof(f66,plain,
! [X0] :
( ~ holds(clear(a),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,b),X0)
| ~ holds(clear(c),X0)
| ~ differ(c,a) ),
inference(resolution,[],[f64,f5]) ).
fof(f68,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ holds(on(c,b),X0)
| ~ holds(clear(c),X0) ),
inference(forward_subsumption_resolution,[],[f66,f34]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ holds(holding(X0),X2)
| ~ holds(on(c,b),do(putdown(X0,X1),X2))
| ~ holds(clear(c),do(putdown(X0,X1),X2))
| ~ holds(clear(a),do(putdown(X0,X1),X2))
| ~ holds(clear(X1),X2) ),
inference(resolution,[],[f68,f6]) ).
fof(f83,plain,
! [X2,X0,X1] :
( ~ holds(on(c,b),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(X1),do(pickup(X0),X2))
| ~ holds(empty,X2)
| ~ holds(clear(X0),X2)
| ~ differ(X0,table) ),
inference(resolution,[],[f71,f2]) ).
fof(f85,plain,
! [X0] :
( ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(a),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table)
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table) ),
inference(resolution,[],[f83,f48]) ).
fof(f87,plain,
! [X0] :
( ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(a),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table) ),
inference(duplicate_literal_removal,[],[f85]) ).
fof(f88,plain,
! [X0] :
( ~ holds(clear(a),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0) ),
inference(forward_subsumption_resolution,[],[f87,f20]) ).
fof(f93,plain,
! [X0] :
( ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),do(pickup(c),X0))
| ~ differ(a,b) ),
inference(resolution,[],[f88,f10]) ).
fof(f94,plain,
! [X0] :
( ~ holds(clear(c),do(putdown(c,b),do(pickup(c),X0)))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),do(pickup(c),X0)) ),
inference(forward_subsumption_resolution,[],[f93,f12]) ).
fof(f106,plain,
! [X0] :
( ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(holding(c),do(pickup(c),X0))
| ~ holds(clear(b),do(pickup(c),X0)) ),
inference(resolution,[],[f94,f8]) ).
fof(f107,plain,
! [X0] :
( ~ holds(holding(c),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(b),do(pickup(c),X0)) ),
inference(duplicate_literal_removal,[],[f106]) ).
fof(f109,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table) ),
inference(resolution,[],[f107,f2]) ).
fof(f110,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(b),do(pickup(c),X0))
| ~ differ(c,table) ),
inference(duplicate_literal_removal,[],[f109]) ).
fof(f111,plain,
! [X0] :
( ~ holds(clear(b),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(empty,X0) ),
inference(forward_subsumption_resolution,[],[f110,f20]) ).
fof(f134,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ differ(b,c) ),
inference(resolution,[],[f111,f5]) ).
fof(f136,plain,
! [X0] :
( ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0) ),
inference(forward_subsumption_resolution,[],[f134,f16]) ).
fof(f138,plain,
! [X0] :
( ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),X0)
| ~ differ(a,c) ),
inference(resolution,[],[f136,f5]) ).
fof(f140,plain,
! [X0] :
( ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(a),X0) ),
inference(forward_subsumption_resolution,[],[f138,f13]) ).
fof(f145,plain,
( ~ holds(clear(c),s0)
| ~ holds(clear(b),s0)
| ~ holds(clear(a),s0) ),
inference(resolution,[],[f140,f29]) ).
fof(f146,plain,
( ~ holds(clear(b),s0)
| ~ holds(clear(a),s0) ),
inference(forward_subsumption_resolution,[],[f145,f28]) ).
fof(f147,plain,
~ holds(clear(a),s0),
inference(forward_subsumption_resolution,[],[f146,f27]) ).
fof(f148,plain,
$false,
inference(forward_subsumption_resolution,[],[f147,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA013-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 22:04:50 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.11/0.45 % (2985948)Will run a generic schedule for satisfiability detection.
% 0.11/0.45 % (2985954)% WARNING: option uhcvi not known.
% 0.11/0.45 % (2985954)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3422405837:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.11/0.45 % (2985954) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2985948-2985954"...
% 0.11/0.45 % (2985959)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1135815197:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.11/0.45 % (2985953)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2516380750_2999 on theBenchmark for (2999ds/0Mi)
% 0.11/0.45 % (2985956)dis+10_1_sil=32000:sp=arity:random_seed=1013490169:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.11/0.45 % (2985954)...printing done.
% 0.11/0.45 % (2985955)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2970764079:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.45 % (2985957)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=630758394:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.11/0.45 % (2985958)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2942440275:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.11/0.45 % (2985954)Refutation found. Thanks to Tanya!
% 0.11/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.45 % (2985954)------------------------------
% 0.11/0.45 % (2985954)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.45 % (2985954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.45 % (2985954)CaDiCaL version: 2.1.3
% 0.11/0.45 % (2985954)Termination reason: Refutation
% 0.11/0.45 % (2985954)Time elapsed: 0.005 s
% 0.11/0.45 % (2985954)Peak memory usage: 11 MB
% 0.11/0.45 % (2985954)Instructions burned: 11 (million)
% 0.11/0.45 % (2985948)Success in time 0.034 s
% 0.11/0.45 % Vampire exiting
%------------------------------------------------------------------------------