%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PLA009-2 : 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 : n018.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 12:28:34 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.47s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 20
% Syntax : Number of formulae : 45 ( 15 unt; 0 def)
% Number of atoms : 163 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 258 ( 140 ~; 118 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 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(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/sandbox2/benchmark/Axioms/PLA001-0.ax',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/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(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(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state3) ).
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(clear(d),on(a,b)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_D_AB) ).
fof(f33,plain,
differ(b,a),
inference(resolution,[],[f11,f12]) ).
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(a,b),X0)
| ~ holds(clear(d),X0) ),
inference(resolution,[],[f1,f31]) ).
fof(f48,plain,
! [X0,X1] :
( ~ holds(clear(d),do(pickup(X1),X0))
| ~ differ(a,X1)
| ~ holds(on(a,b),X0) ),
inference(resolution,[],[f4,f42]) ).
fof(f58,plain,
! [X0,X1] :
( ~ holds(on(a,b),X1)
| ~ holds(clear(X0),X1)
| ~ holds(empty,X1)
| ~ differ(a,X0)
| ~ holds(on(X0,d),X1) ),
inference(resolution,[],[f3,f48]) ).
fof(f71,plain,
! [X0,X1] :
( ~ holds(clear(X0),do(putdown(a,b),X1))
| ~ holds(empty,do(putdown(a,b),X1))
| ~ differ(a,X0)
| ~ holds(on(X0,d),do(putdown(a,b),X1))
| ~ holds(holding(a),X1)
| ~ holds(clear(b),X1) ),
inference(resolution,[],[f58,f7]) ).
fof(f73,plain,
! [X0,X1] :
( ~ holds(on(X0,d),do(putdown(a,b),X1))
| ~ differ(a,X0)
| ~ holds(clear(X0),do(putdown(a,b),X1))
| ~ holds(holding(a),X1)
| ~ holds(clear(b),X1) ),
inference(forward_subsumption_resolution,[],[f71,f6]) ).
fof(f111,plain,
! [X0,X1] :
( ~ holds(clear(X0),do(putdown(a,b),X1))
| ~ differ(a,X0)
| ~ holds(holding(a),X1)
| ~ holds(clear(b),X1)
| ~ holds(on(X0,d),X1) ),
inference(resolution,[],[f73,f9]) ).
fof(f123,plain,
! [X0,X1] :
( ~ holds(on(X0,d),X1)
| ~ holds(holding(a),X1)
| ~ holds(clear(b),X1)
| ~ differ(a,X0)
| ~ holds(clear(X0),X1)
| ~ differ(X0,b) ),
inference(resolution,[],[f111,f10]) ).
fof(f173,plain,
! [X2,X0,X1] :
( ~ holds(clear(b),do(pickup(X0),X1))
| ~ holds(holding(a),do(pickup(X0),X1))
| ~ differ(a,X2)
| ~ holds(clear(X2),do(pickup(X0),X1))
| ~ differ(X2,b)
| ~ holds(on(X2,d),X1)
| ~ differ(X2,X0) ),
inference(resolution,[],[f123,f4]) ).
fof(f271,plain,
! [X2,X0,X1] :
( ~ holds(clear(X2),do(pickup(X0),X1))
| ~ differ(a,X2)
| ~ holds(holding(a),do(pickup(X0),X1))
| ~ differ(X2,b)
| ~ holds(on(X2,d),X1)
| ~ differ(X2,X0)
| ~ holds(clear(b),X1)
| ~ differ(b,X0) ),
inference(resolution,[],[f173,f5]) ).
fof(f362,plain,
! [X2,X0,X1] :
( ~ differ(a,X0)
| ~ holds(holding(a),do(pickup(X1),X2))
| ~ differ(X0,b)
| ~ holds(on(X0,d),X2)
| ~ differ(X0,X1)
| ~ holds(clear(b),X2)
| ~ differ(b,X1)
| ~ holds(clear(X0),X2)
| ~ differ(X0,X1) ),
inference(resolution,[],[f271,f5]) ).
fof(f364,plain,
! [X2,X0,X1] :
( ~ holds(holding(a),do(pickup(X1),X2))
| ~ differ(a,X0)
| ~ differ(X0,b)
| ~ holds(on(X0,d),X2)
| ~ differ(X0,X1)
| ~ holds(clear(b),X2)
| ~ differ(b,X1)
| ~ holds(clear(X0),X2) ),
inference(duplicate_literal_removal,[],[f362]) ).
fof(f403,plain,
! [X0,X1] :
( ~ differ(a,X0)
| ~ differ(X0,b)
| ~ holds(on(X0,d),X1)
| ~ differ(X0,a)
| ~ holds(clear(b),X1)
| ~ differ(b,a)
| ~ holds(clear(X0),X1)
| ~ holds(empty,X1)
| ~ holds(clear(a),X1)
| ~ differ(a,table) ),
inference(resolution,[],[f364,f2]) ).
fof(f404,plain,
! [X0,X1] :
( ~ differ(a,X0)
| ~ differ(X0,b)
| ~ holds(on(X0,d),X1)
| ~ differ(X0,a)
| ~ holds(clear(b),X1)
| ~ holds(clear(X0),X1)
| ~ holds(empty,X1)
| ~ holds(clear(a),X1)
| ~ differ(a,table) ),
inference(forward_subsumption_resolution,[],[f403,f33]) ).
fof(f405,plain,
! [X0,X1] :
( ~ differ(a,X0)
| ~ differ(X0,b)
| ~ holds(on(X0,d),X1)
| ~ differ(X0,a)
| ~ holds(clear(b),X1)
| ~ holds(clear(X0),X1)
| ~ holds(empty,X1)
| ~ holds(clear(a),X1) ),
inference(forward_subsumption_resolution,[],[f404,f15]) ).
fof(f406,plain,
! [X0,X1] :
( ~ holds(on(X0,d),X1)
| ~ differ(X0,b)
| ~ differ(X0,a)
| ~ holds(clear(b),X1)
| ~ holds(clear(X0),X1)
| ~ holds(empty,X1)
| ~ holds(clear(a),X1) ),
inference(forward_subsumption_resolution,[],[f405,f11]) ).
fof(f410,plain,
( ~ differ(c,b)
| ~ differ(c,a)
| ~ holds(clear(b),s0)
| ~ holds(clear(c),s0)
| ~ holds(empty,s0)
| ~ holds(clear(a),s0) ),
inference(resolution,[],[f406,f24]) ).
fof(f411,plain,
( ~ differ(c,a)
| ~ holds(clear(b),s0)
| ~ holds(clear(c),s0)
| ~ holds(empty,s0)
| ~ holds(clear(a),s0) ),
inference(forward_subsumption_resolution,[],[f410,f36]) ).
fof(f413,plain,
( ~ holds(clear(b),s0)
| ~ holds(clear(c),s0)
| ~ holds(empty,s0)
| ~ holds(clear(a),s0) ),
inference(forward_subsumption_resolution,[],[f411,f34]) ).
fof(f415,plain,
( ~ holds(clear(c),s0)
| ~ holds(empty,s0)
| ~ holds(clear(a),s0) ),
inference(forward_subsumption_resolution,[],[f413,f27]) ).
fof(f416,plain,
( ~ holds(empty,s0)
| ~ holds(clear(a),s0) ),
inference(forward_subsumption_resolution,[],[f415,f28]) ).
fof(f417,plain,
~ holds(clear(a),s0),
inference(forward_subsumption_resolution,[],[f416,f29]) ).
fof(f418,plain,
$false,
inference(forward_subsumption_resolution,[],[f417,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : PLA009-2 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n018.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 22:11:24 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.15/0.47 % (2781186)Will run a generic schedule for satisfiability detection.
% 0.15/0.47 % (2781199)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=354218843:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.47 % (2781194)% WARNING: option uhcvi not known.
% 0.15/0.47 % (2781196)dis+10_1_sil=32000:sp=arity:random_seed=3521303007:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.47 % (2781193)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=347417979_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.47 % (2781198)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=807847474:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.47 % (2781194)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1880820718:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.47 % (2781195)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3300047754:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.47 % (2781197)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1603858029:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.47 % TRYING [1]
% 0.15/0.47 % TRYING [2]
% 0.15/0.47 % TRYING [3]
% 0.15/0.47 % (2781196) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2781186-2781196"...
% 0.15/0.47 % (2781196)...printing done.
% 0.15/0.47 % (2781196)Refutation found. Thanks to Tanya!
% 0.15/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.47 % (2781196)------------------------------
% 0.15/0.47 % (2781196)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.47 % (2781196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.47 % (2781196)CaDiCaL version: 2.1.3
% 0.15/0.47 % (2781196)Termination reason: Refutation
% 0.15/0.47 % (2781196)Time elapsed: 0.017 s
% 0.15/0.47 % (2781196)Peak memory usage: 11 MB
% 0.15/0.47 % (2781196)Instructions burned: 26 (million)
% 0.15/0.47 % (2781186)Success in time 0.05 s
% 0.15/0.47 % Vampire exiting
%------------------------------------------------------------------------------