%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : DAT067_1 : TPTP v9.3.1. Released v5.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 09:48:04 AM UTC 2026
% Result : Theorem 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 2
% Syntax : Number of formulae : 12 ( 4 unt; 0 typ; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 5 |; 2 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number arithmetic : 32 ( 0 atm; 10 fun; 10 num; 12 var)
% Number of types : 3 ( 1 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 9 usr; 5 con; 0-2 aty)
% Number of variables : 18 ( 15 !; 3 ?; 18 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
heap: $tType ).
tff(func_def_0,type,
empty: heap ).
tff(func_def_1,type,
toop: heap > $int ).
tff(func_def_2,type,
sel: ( heap * $int ) > $int ).
tff(func_def_3,type,
length: heap > $int ).
tff(func_def_4,type,
app: ( heap * $int ) > heap ).
tff(func_def_5,type,
get: heap > heap ).
tff(func_def_10,type,
sK0: $int ).
tff(func_def_11,type,
sK1: $int ).
tff(func_def_12,type,
sK2: heap ).
tff(pred_def_1,type,
lsls: ( heap * heap ) > $o ).
tff(f3,axiom,
! [X0: $int,X1: heap,X2: $int] :
( ( X2 != $sum(1,length(X1)) )
=> ( sel(app(X1,X0),X2) = sel(X1,X2) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/DAT006_0.ax',ax_3) ).
tff(f15,conjecture,
! [X0: $int,X1: $int,X2: heap] :
( ( sel(app(X2,X0),X1) = sel(X2,X1) )
| ( X1 = $sum(1,length(X2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',th_2) ).
tff(f16,negated_conjecture,
~ ! [X0: $int,X1: $int,X2: heap] :
( ( sel(app(X2,X0),X1) = sel(X2,X1) )
| ( X1 = $sum(1,length(X2)) ) ),
inference(negated_conjecture,[status(cth)],[f15]) ).
tff(f30,plain,
! [X0: $int,X1: heap,X2: $int] :
( ( sel(app(X1,X0),X2) = sel(X1,X2) )
| ( $sum(1,length(X1)) = X2 ) ),
inference(ennf_transformation,[],[f3]) ).
tff(f33,plain,
? [X0: $int,X1: $int,X2: heap] :
( ( sel(app(X2,X0),X1) != sel(X2,X1) )
& ( $sum(1,length(X2)) != X1 ) ),
inference(ennf_transformation,[],[f16]) ).
tff(f38,plain,
( ( sel(app(sK2,sK0),sK1) != sel(sK2,sK1) )
& ( sK1 != $sum(1,length(sK2)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f33]) ).
tff(f41,plain,
! [X2: $int,X0: $int,X1: heap] :
( ( sel(app(X1,X0),X2) = sel(X1,X2) )
| ( $sum(1,length(X1)) = X2 ) ),
inference(cnf_transformation,[],[f30]) ).
tff(f57,plain,
sK1 != $sum(1,length(sK2)),
inference(cnf_transformation,[],[f38]) ).
tff(f58,plain,
sel(app(sK2,sK0),sK1) != sel(sK2,sK1),
inference(cnf_transformation,[],[f38]) ).
tff(f229,plain,
( ( sel(sK2,sK1) != sel(sK2,sK1) )
| ( sK1 = $sum(1,length(sK2)) ) ),
inference(superposition,[],[f58,f41]) ).
tff(f230,plain,
sK1 = $sum(1,length(sK2)),
inference(trivial_inequality_removal,[],[f229]) ).
tff(f231,plain,
$false,
inference(forward_subsumption_resolution,[],[f230,f57]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : DAT067_1 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n011.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Tue Sep 29 00:07:46 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.25 % (3914886)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (3914900)dis+10_1_sil=32000:sp=arity:random_seed=3516503093:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.08/0.25 % (3914898)% WARNING: option uhcvi not known.
% 0.08/0.25 % (3914900) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3914886-3914900"...
% 0.08/0.25 % (3914900)...printing done.
% 0.08/0.25 % (3914900)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Theorem for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25 % (3914900)------------------------------
% 0.08/0.25 % (3914900)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (3914900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (3914900)CaDiCaL version: 2.1.3
% 0.08/0.25 % (3914900)Termination reason: Refutation
% 0.08/0.25 % (3914900)Time elapsed: 0.004 s
% 0.08/0.25 % (3914900)Peak memory usage: 12 MB
% 0.08/0.25 % (3914900)Instructions burned: 9 (million)
% 0.08/0.25 % (3914886)Success in time 0.033 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------