%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : PLA022-2 : 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 : n012.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 12:28:37 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.34s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 28 ( 10 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 97 ( 55 ~; 42 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 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 : 37 ( 37 !; 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(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(f11,axiom,
! [X0,X1] :
( ~ differ(X1,X0)
| differ(X0,X1) ),
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(f15,axiom,
differ(a,table),
file('/export/starexec/sandbox2/benchmark/Axioms/PLA001-1.ax',differ_a_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(f31,negated_conjecture,
! [X0] : ~ holds(and(on(a,c),on(c,d)),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_ACD) ).
fof(f34,plain,
differ(c,a),
inference(resolution,[],[f11,f13]) ).
fof(f42,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(on(a,c),X0) ),
inference(resolution,[],[f1,f31]) ).
fof(f44,plain,
! [X2,X0,X1] :
( ~ holds(on(a,c),do(putdown(X1,X2),X0))
| ~ holds(on(c,d),X0) ),
inference(resolution,[],[f9,f42]) ).
fof(f52,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(holding(a),X0) ),
inference(resolution,[],[f7,f44]) ).
fof(f56,plain,
! [X0,X1] :
( ~ holds(clear(c),do(pickup(X0),X1))
| ~ holds(holding(a),do(pickup(X0),X1))
| ~ holds(on(c,d),X1)
| ~ differ(c,X0) ),
inference(resolution,[],[f52,f4]) ).
fof(f75,plain,
! [X0,X1] :
( ~ holds(holding(a),do(pickup(X0),X1))
| ~ holds(on(c,d),X1)
| ~ differ(c,X0)
| ~ holds(clear(c),X1)
| ~ differ(c,X0) ),
inference(resolution,[],[f56,f5]) ).
fof(f76,plain,
! [X0,X1] :
( ~ holds(holding(a),do(pickup(X0),X1))
| ~ holds(on(c,d),X1)
| ~ differ(c,X0)
| ~ holds(clear(c),X1) ),
inference(duplicate_literal_removal,[],[f75]) ).
fof(f77,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ differ(c,a)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ differ(a,table) ),
inference(resolution,[],[f76,f2]) ).
fof(f78,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0)
| ~ differ(a,table) ),
inference(forward_subsumption_resolution,[],[f77,f34]) ).
fof(f79,plain,
! [X0] :
( ~ holds(on(c,d),X0)
| ~ holds(clear(c),X0)
| ~ holds(empty,X0)
| ~ holds(clear(a),X0) ),
inference(forward_subsumption_resolution,[],[f78,f15]) ).
fof(f85,plain,
( ~ holds(clear(c),s0)
| ~ holds(empty,s0)
| ~ holds(clear(a),s0) ),
inference(resolution,[],[f79,f24]) ).
fof(f86,plain,
( ~ holds(empty,s0)
| ~ holds(clear(a),s0) ),
inference(forward_subsumption_resolution,[],[f85,f28]) ).
fof(f88,plain,
~ holds(clear(a),s0),
inference(forward_subsumption_resolution,[],[f86,f29]) ).
fof(f90,plain,
$false,
inference(forward_subsumption_resolution,[],[f88,f26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : PLA022-2 : TPTP v9.3.1. Released v1.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.03/0.30 % Computer : n012.cluster.edu
% 0.03/0.30 % Model : x86_64 x86_64
% 0.03/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.30 % Memory : 8046.5625MB
% 0.03/0.30 % OS : Linux 6.8.0-71-generic
% 0.03/0.30 % CPULimit : 300
% 0.03/0.30 % WCLimit : 300
% 0.03/0.30 % DateTime : Sun Sep 27 22:10:04 UTC 2026
% 0.03/0.31 % CPUTime :
% 0.03/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.03/0.32 Running first-order model finding
% 0.03/0.32 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
% 0.07/0.34 % (2804157)Will run a generic schedule for satisfiability detection.
% 0.07/0.34 % (2804163)% WARNING: option uhcvi not known.
% 0.07/0.34 % (2804162)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=768673995_3000 on theBenchmark for (3000ds/0Mi)
% 0.07/0.34 % (2804163)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2349771966:i=135531:add=off:rawr=on_3000 on theBenchmark for (3000ds/135531Mi)
% 0.07/0.34 % (2804164)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3225930746:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.07/0.34 % (2804165)dis+10_1_sil=32000:sp=arity:random_seed=2855536549:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.07/0.34 % (2804166)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1956764721:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.07/0.34 % (2804167)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=923411128:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.07/0.34 % (2804168)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2941751040:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.07/0.34 % (2804165) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2804157-2804165"...
% 0.07/0.34 % TRYING [1]
% 0.07/0.34 % TRYING [2]
% 0.07/0.34 % (2804163) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2804157-2804163"...
% 0.07/0.34 % (2804165)...printing done.
% 0.07/0.34 % TRYING [3]
% 0.07/0.34 % (2804163)...printing done.
% 0.07/0.34 % (2804165)Refutation found. Thanks to Tanya!
% 0.07/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.34 % (2804165)------------------------------
% 0.07/0.34 % (2804165)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.34 % (2804165)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.34 % (2804165)CaDiCaL version: 2.1.3
% 0.07/0.34 % (2804165)Termination reason: Refutation
% 0.07/0.34 % (2804165)Time elapsed: 0.001 s
% 0.07/0.34 % (2804165)Peak memory usage: 11 MB
% 0.07/0.34 % (2804165)Instructions burned: 3 (million)
% 0.07/0.34 % (2804157)Success in time 0.014 s
% 0.07/0.34 % Vampire exiting
%------------------------------------------------------------------------------