%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PLA007-1 : 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 12:28:34 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 18
% Syntax : Number of formulae : 40 ( 13 unt; 0 def)
% Number of atoms : 96 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 127 ( 71 ~; 56 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 48 ( 48 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( ~ differ(X0,table)
| ~ holds(empty,X1)
| ~ holds(clear(X0),X1)
| holds(holding(X0),do(pickup(X0),X1)) ),
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(f5,axiom,
! [X2,X0,X1] :
( ~ differ(X0,X1)
| ~ holds(clear(X0),X2)
| holds(clear(X0),do(pickup(X1),X2)) ),
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(f10,axiom,
! [X2,X3,X0,X1] :
( ~ differ(X0,X2)
| ~ holds(clear(X0),X3)
| holds(clear(X0),do(putdown(X1,X2),X3)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-0.ax',putdown_5) ).
fof(f11,axiom,
! [X0,X1] :
( differ(X0,X1)
| ~ differ(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',symmetry_of_differ) ).
fof(f13,axiom,
differ(a,c),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_c) ).
fof(f14,axiom,
differ(a,d),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_d) ).
fof(f15,axiom,
differ(a,table),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_table) ).
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(f26,axiom,
holds(clear(a),s0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',initial_state5) ).
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(f30,axiom,
! [X0] : holds(clear(table),X0),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',clear_table) ).
fof(f31,negated_conjecture,
! [X0] : ~ holds(on(a,d),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_AD) ).
fof(f40,plain,
! [X2,X0,X1] :
( ~ differ(X2,X0)
| holds(clear(X0),do(pickup(X2),X1))
| ~ holds(clear(X0),X1) ),
inference(resolution,[],[f5,f11]) ).
fof(f43,plain,
! [X0] :
( holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f5,f13]) ).
fof(f58,plain,
! [X0,X1] :
( holds(clear(a),do(putdown(X1,table),X0))
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f10,f15]) ).
fof(f67,plain,
! [X0,X1] :
( holds(clear(d),do(putdown(X1,table),X0))
| ~ holds(clear(d),X0) ),
inference(resolution,[],[f10,f21]) ).
fof(f93,plain,
! [X0] :
( holds(holding(a),do(pickup(a),X0))
| ~ holds(clear(a),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f2,f15]) ).
fof(f95,plain,
! [X0] :
( holds(holding(c),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f2,f20]) ).
fof(f97,plain,
! [X0] :
( ~ holds(holding(a),X0)
| ~ holds(clear(d),X0) ),
inference(resolution,[],[f7,f31]) ).
fof(f110,plain,
! [X0] :
( holds(clear(d),do(pickup(a),X0))
| ~ holds(clear(d),X0) ),
inference(resolution,[],[f40,f14]) ).
fof(f119,plain,
! [X0] :
( ~ holds(clear(d),do(pickup(a),X0))
| ~ holds(empty,X0)
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f93,f97]) ).
fof(f122,plain,
! [X0] :
( ~ holds(clear(d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f110,f119]) ).
fof(f124,plain,
! [X0,X1] :
( ~ holds(clear(a),do(putdown(X0,table),X1))
| ~ holds(empty,do(putdown(X0,table),X1))
| ~ holds(clear(d),X1) ),
inference(resolution,[],[f122,f67]) ).
fof(f204,plain,
! [X0,X1] :
( ~ holds(empty,do(putdown(X0,table),X1))
| ~ holds(clear(d),X1)
| ~ holds(clear(a),X1) ),
inference(resolution,[],[f124,f58]) ).
fof(f206,plain,
! [X0,X1] :
( ~ holds(clear(d),X0)
| ~ holds(clear(a),X0)
| ~ holds(holding(X1),X0)
| ~ holds(clear(table),X0) ),
inference(resolution,[],[f204,f6]) ).
fof(f207,plain,
! [X0,X1] :
( ~ holds(holding(X1),X0)
| ~ holds(clear(a),X0)
| ~ holds(clear(d),X0) ),
inference(forward_subsumption_resolution,[],[f206,f30]) ).
fof(f212,plain,
! [X0] :
( ~ holds(clear(d),do(pickup(c),X0))
| ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f207,f95]) ).
fof(f248,plain,
! [X0] :
( ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0) ),
inference(resolution,[],[f212,f3]) ).
fof(f249,plain,
! [X0] :
( ~ holds(clear(a),do(pickup(c),X0))
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(on(c,d),X0) ),
inference(duplicate_literal_removal,[],[f248]) ).
fof(f269,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(empty,X0)
| ~ holds(clear(c),X0)
| ~ holds(clear(a),X0) ),
inference(resolution,[],[f249,f43]) ).
fof(f297,plain,
( ~ holds(empty,s0)
| ~ holds(clear(c),s0)
| ~ holds(clear(a),s0) ),
inference(resolution,[],[f269,f24]) ).
fof(f305,plain,
( ~ holds(clear(c),s0)
| ~ holds(clear(a),s0) ),
inference(forward_subsumption_resolution,[],[f297,f29]) ).
fof(f307,plain,
~ holds(clear(a),s0),
inference(forward_subsumption_resolution,[],[f305,f28]) ).
fof(f308,plain,
$false,
inference(forward_subsumption_resolution,[],[f307,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PLA007-1 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.38 % Computer : n017.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 22:04:35 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.42 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
% 0.10/0.46 % (2985525)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (2985534)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=50017442:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.46 % (2985531)% WARNING: option uhcvi not known.
% 0.10/0.46 % (2985534) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2985525-2985534"...
% 0.10/0.46 % (2985534)...printing done.
% 0.10/0.46 % (2985530)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3214840974_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.46 % (2985531)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=149243537:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.46 % (2985532)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2496093477:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (2985533)dis+10_1_sil=32000:sp=arity:random_seed=1017848897:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.46 % (2985534)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.46 % (2985534)------------------------------
% 0.10/0.46 % (2985534)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.46 % (2985534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.46 % (2985534)CaDiCaL version: 2.1.3
% 0.10/0.46 % (2985534)Termination reason: Refutation
% 0.10/0.46 % (2985534)Time elapsed: 0.005 s
% 0.10/0.46 % (2985534)Peak memory usage: 11 MB
% 0.10/0.46 % (2985534)Instructions burned: 14 (million)
% 0.10/0.46 % (2985525)Success in time 0.03 s
% 0.10/0.46 % Vampire exiting
%------------------------------------------------------------------------------