%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PLA011-2 : 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 : n015.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 0.16s 0.48s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 21
% Syntax : Number of formulae : 46 ( 13 unt; 0 def)
% Number of atoms : 140 ( 0 equ)
% Maximal formula atoms : 8 ( 3 avg)
% Number of connectives : 212 ( 118 ~; 94 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 61 ( 61 !; 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(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(f16,axiom,
differ(b,c),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_b_c) ).
fof(f17,axiom,
differ(b,d),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_b_d) ).
fof(f19,axiom,
differ(c,d),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_c_d) ).
fof(f20,axiom,
differ(c,table),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_c_table) ).
fof(f21,axiom,
differ(d,table),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_d_table) ).
fof(f24,axiom,
holds(on(c,d),s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state3) ).
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(d,c)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_DCB) ).
fof(f43,plain,
differ(d,b),
inference(resolution,[],[f11,f17]) ).
fof(f75,plain,
! [X0] :
( ~ holds(on(d,c),X0)
| ~ holds(on(c,b),X0) ),
inference(resolution,[],[f1,f31]) ).
fof(f199,plain,
! [X0] :
( ~ holds(on(c,b),do(putdown(d,c),X0))
| ~ holds(clear(c),X0)
| ~ holds(holding(d),X0) ),
inference(resolution,[],[f7,f75]) ).
fof(f687,plain,
! [X0] :
( ~ holds(on(c,b),X0)
| ~ holds(holding(d),X0)
| ~ holds(clear(c),X0) ),
inference(resolution,[],[f199,f9]) ).
fof(f692,plain,
! [X0,X1] :
( ~ holds(clear(c),do(pickup(X0),X1))
| ~ holds(holding(d),do(pickup(X0),X1))
| ~ holds(on(c,b),X1)
| ~ differ(c,X0) ),
inference(resolution,[],[f687,f4]) ).
fof(f736,plain,
! [X0,X1] :
( ~ holds(holding(d),do(pickup(X0),X1))
| ~ holds(on(c,b),X1)
| ~ differ(c,X0)
| ~ holds(clear(c),X1)
| ~ differ(c,X0) ),
inference(resolution,[],[f692,f5]) ).
fof(f737,plain,
! [X0,X1] :
( ~ holds(holding(d),do(pickup(X0),X1))
| ~ holds(on(c,b),X1)
| ~ differ(c,X0)
| ~ holds(clear(c),X1) ),
inference(duplicate_literal_removal,[],[f736]) ).
fof(f741,plain,
! [X0] :
( ~ holds(on(c,b),X0)
| ~ differ(c,d)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ differ(d,table) ),
inference(resolution,[],[f737,f2]) ).
fof(f742,plain,
! [X0] :
( ~ holds(on(c,b),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),X0)
| ~ differ(d,table) ),
inference(forward_subsumption_resolution,[],[f741,f19]) ).
fof(f743,plain,
! [X0] :
( ~ holds(on(c,b),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(d),X0) ),
inference(forward_subsumption_resolution,[],[f742,f21]) ).
fof(f745,plain,
! [X0] :
( ~ holds(clear(c),do(putdown(c,b),X0))
| ~ holds(empty,do(putdown(c,b),X0))
| ~ holds(clear(d),do(putdown(c,b),X0))
| ~ holds(holding(c),X0)
| ~ holds(clear(b),X0) ),
inference(resolution,[],[f743,f7]) ).
fof(f747,plain,
! [X0] :
( ~ holds(empty,do(putdown(c,b),X0))
| ~ holds(clear(d),do(putdown(c,b),X0))
| ~ holds(holding(c),X0)
| ~ holds(clear(b),X0) ),
inference(forward_subsumption_resolution,[],[f745,f8]) ).
fof(f748,plain,
! [X0] :
( ~ holds(clear(d),do(putdown(c,b),X0))
| ~ holds(holding(c),X0)
| ~ holds(clear(b),X0) ),
inference(forward_subsumption_resolution,[],[f747,f6]) ).
fof(f752,plain,
! [X0] :
( ~ holds(holding(c),X0)
| ~ holds(clear(b),X0)
| ~ holds(clear(d),X0)
| ~ differ(d,b) ),
inference(resolution,[],[f748,f10]) ).
fof(f753,plain,
! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(clear(b),X0)
| ~ holds(holding(c),X0) ),
inference(forward_subsumption_resolution,[],[f752,f43]) ).
fof(f757,plain,
! [X0,X1] :
( ~ holds(clear(b),do(pickup(X0),X1))
| ~ holds(holding(c),do(pickup(X0),X1))
| ~ holds(on(X0,d),X1)
| ~ holds(clear(X0),X1)
| ~ holds(empty,X1) ),
inference(resolution,[],[f753,f3]) ).
fof(f852,plain,
! [X0,X1] :
( ~ holds(holding(c),do(pickup(X0),X1))
| ~ holds(on(X0,d),X1)
| ~ holds(clear(X0),X1)
| ~ holds(empty,X1)
| ~ holds(clear(b),X1)
| ~ differ(b,X0) ),
inference(resolution,[],[f757,f5]) ).
fof(f887,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ differ(b,c)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ differ(c,table) ),
inference(resolution,[],[f852,f2]) ).
fof(f888,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ differ(b,c)
| ~ differ(c,table) ),
inference(duplicate_literal_removal,[],[f887]) ).
fof(f889,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0)
| ~ differ(c,table) ),
inference(forward_subsumption_resolution,[],[f888,f16]) ).
fof(f890,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(b),X0) ),
inference(forward_subsumption_resolution,[],[f889,f20]) ).
fof(f894,plain,
( ~ holds(clear(c),s0)
| ~ holds(empty,s0)
| ~ holds(clear(b),s0) ),
inference(resolution,[],[f890,f24]) ).
fof(f895,plain,
( ~ holds(empty,s0)
| ~ holds(clear(b),s0) ),
inference(forward_subsumption_resolution,[],[f894,f28]) ).
fof(f897,plain,
~ holds(clear(b),s0),
inference(forward_subsumption_resolution,[],[f895,f29]) ).
fof(f899,plain,
$false,
inference(forward_subsumption_resolution,[],[f897,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA011-2 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n015.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 22:12:46 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.16/0.43 Running first-order model finding
% 0.16/0.43 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
% 0.16/0.48 % (2065215)Will run a generic schedule for satisfiability detection.
% 0.16/0.48 % (2065222)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=4146351518:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.48 % (2065221)% WARNING: option uhcvi not known.
% 0.16/0.48 % (2065220)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3775282627_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.48 % (2065226)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3630193334:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.48 % (2065221)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=498378154:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.48 % (2065223)dis+10_1_sil=32000:sp=arity:random_seed=2837443345:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.48 % TRYING [1]
% 0.16/0.48 % (2065225)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=901102779:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.48 % TRYING [2]
% 0.16/0.48 % (2065224)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3489213278:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.48 % (2065222) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2065215-2065222"...
% 0.16/0.48 % TRYING [3]
% 0.16/0.48 % (2065222)...printing done.
% 0.16/0.48 % (2065222)Refutation found. Thanks to Tanya!
% 0.16/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.49 % (2065222)------------------------------
% 0.16/0.49 % (2065222)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.49 % (2065222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.49 % (2065222)CaDiCaL version: 2.1.3
% 0.16/0.49 % (2065222)Termination reason: Refutation
% 0.16/0.49 % (2065222)Time elapsed: 0.017 s
% 0.16/0.49 % (2065222)Peak memory usage: 12 MB
% 0.16/0.49 % (2065222)Instructions burned: 26 (million)
% 0.16/0.49 % (2065215)Success in time 0.044 s
% 0.16/0.49 % Vampire exiting
%------------------------------------------------------------------------------